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Philosophies of the Branches of Knowledge

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3 Philosophy of nature

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The discipline here entitled "the philosophy of nature" consists in the investigation of substantive issues regarding the actual features of nature as a reality and is divided into two parts: the philosophy of physics and the philosophy of biology. In this discipline, the most fundamental, broad, and seminal features of natural reality as such are explored and assessments are made of their implications for man's metaphysics, or theory of reality; for his Weltanschauung, or "world view"; for his anthropology, or doctrine of man; and for his ethics, or theory and manner of moral action. These implications are explored on the assumption that man's understanding of the natural setting in which his life is staged strongly conditions his beliefs and attitudes in many fields. (see also biological productivity)

In its German form, Naturphilosophie, the term is chiefly identified with Friedrich Schelling and G.W.F. Hegel, early 19th-century German Idealists who opposed it to Logik and to the Ph?omenologie des Geistes ("of the spirit or mind"). Employment of the term spread, in due time, beyond its narrower historical context in German Idealism and came to be used, particularly in Roman Catholic parlance, in the sense that it bears in this article (e.g., the philosophies of physics and biology). Despite a notable decline in its usage in more recent years, the term is here employed, in the interest of the clear delineation of topics, as a complement to the philosophy of science, the discipline to which its subject matter has been allocated by recent philosophers. Thus in this work, the article on the philosophy of science is largely restricted to man's approach to nature, and thus to epistemological (theory of knowledge) and methodological issues, while that on the philosophy of nature encompasses the more substantive issues about nature as it is in itself.

 

3.1.1 PHILOSOPHY OF PHYSICS

3.1.1.1 Physics as a field of inquiry.

3.1.1.1.1 Essential features.

Physics is concerned with the simplest inorganic objects and processes in nature and with the measurement and mathematical description of them. Inasmuch as the binding forces of chemistry can now, at least in principle, be reduced to the well-known laws of physics, or calculated from quantum mechanics (the theory that all energy is radiated or absorbed in small unitary packets), chemistry can henceforth be considered as a part of physics in theory if not in practice. Moreover, it has become clear, through the general theory of relativity (which formulates nature's laws as viewed from various accelerating perspectives), that there is an aspect of geometry, too, that can be regarded as a part of physics. The fact that, over a wide range of circumstances, Euclidean, or ordinary uncurved, geometry presents a good approximation to reality is considered today not as a fact stipulated by a necessity of thought, nor a derivative from such a necessity, but as a fact to be established empirically; i.e., by observation. In their application, the laws of Euclidean geometry refer to those experiences that arise with measurements of length and angle and optical sightings as well as with surface and volume measurements. The possibility--already extensively elucidated in antiquity--of deriving geometrical propositions by deduction from a few axioms, assumed without proof to be correct, had given rise in earlier philosophy to the opinion that the truth of these axioms must and could be guaranteed by a kind of knowledge that is independent of experience. The recognition of such a priori knowledge, however, has been superseded by the modern development of physics. While it is granted that a pure geometry is free to posit any axioms that it pleases, a geometry purporting to describe the real world must have true axioms. Today it is considered that, if Euclidean geometry is true of the world, this truth must be established empirically; the axioms would be true because the conclusions drawn from them correspond to experience. Actually, the world appears Euclidean, however, only when this experience is limited to cases in which the distances are not too great (not much greater than 109 light-years) and in which gravitational fields are not too strong (as they are in the vicinity of a neutron star).

The possibility of deducing all known laws or regularities as logical inferences from a few axioms, which was discovered in Euclidean geometry, became a model for the construction also of another chapter in the history of physics. The classical physics of Newton, the 17th-18th-century father of modern physics, had employed Euclidean geometry as a foundation and had portrayed the solar system as a system of mass points subject to his mechanical axioms. The laws for falling bodies framed by the 16th-17th-century Italian physicist Galileo are the simplest logical consequences of Newton's axioms, and the laws framed by Johannes Kepler, a 16th-17th-century German astronomer, which precisely describe the motions of the planets, follow from them.

In addition to the laws of mechanics there are those of the broad sphere of electromagnetic phenomena as summarized in the equations of James Clerk Maxwell, a 19th-century Scottish physicist, which describe both the electric and magnetic fields and the laws of their mutual changes, equations that may thus be considered as the axioms of electrodynamics. Because they assume the mathematical form of partial differential equations--which express the rates at which differentials (small or infinitesimal distances or quantities) in several dimensions change with respect to their neighbours--electrodynamics is a local-action theory rather than an action-at-a-distance theory as in older formulations modelled after Newton's law of gravitation. The principle of local action states that the variations of electromagnetic magnitudes at a point in space can be influenced only by the electromagnetic conditions in the immediate vicinity of this point. The finite velocity of propagation for electromagnetic disturbances, which follows from this principle, leads on the one hand to the existence of electromagnetic wave events and on the other hand to conformity with the requirements of special relativity (a theory that formulates nature's laws as viewed from the perspectives of various velocities), which demand a maximum finite velocity for signals--the velocity of light in a vacuum. (see also Maxwell's equations)

The most important division of physics today is one that replaces the traditional distinctions between mechanics, acoustics, and other classical branches of physics with that between macroscopic and microscopic physics, in which the latter investigates the conformity of atoms to law and their reactions in discrete quantum jumps, whereas the former extends from the level of ordinary human experience into astronomy to a total comprehension of the universe, attained through theoretical endeavours in the field of cosmology. Because it is now possible to observe especially bright objects (quasars) that are located perhaps 1010 light-years from the Earth, the possibility of empirically testing cosmological models is beginning to arise. In particular, the application of non-Euclidean, or curved, geometries to the cosmos has suggested the conception of a finite, yet boundless, world space (positively curved), in which the maximum possible distance between two points would no longer be much greater than 1010 light-years.

 

3.1.1.1.2 Historical sketch.

In the historical development of physics before the 17th century, geometry was the only field in which extensive advances were made; besides geometry, only the rudiments of statics (the laws of levers, the principle of hydrostatics of the 3rd-century BC scientist Archimedes) were clarified. After Galileo had discovered the laws of falling bodies, Kepler's laws describing the motions of the planets and Newton's reduction of them to a set of dynamical axioms established the science of classical mechanics, to which was annexed the investigation of electromagnetism. These developments culminated in the discovery of induction by Michael Faraday, an English physical scientist, the knowledge of local action by Faraday and Maxwell, and the discovery of electromagnetic waves by a German physicist, Heinrich Hertz. It was not until the 19th century that the law of the conservation of energy was first recognized as a general law of nature, through the work of Julius von Mayer in Germany and James Joule in England, and that the concept of entropy (see below Problems at the macrophysical level ) was formulated by Rudolf Clausius, a mathematical physicist. At the beginning of the 20th century, the German physicist Max Planck introduced the so-called quantum of action, h = 6.626 ?10-27 erg-seconds, which, when multiplied by the vibration frequency, symbolized by the Greek letter nu, {nu}, demarcates a basic packet of energy. Albert Einstein then extended the quantum theory to light. The real existence of atoms was proved by him and other investigators, and the science of microphysics thus arose. The researches of Niels Bohr on the quantum-theoretical significance of atomic spectra paved the way for broader search into the fine details of quantum laws, the final comprehension of which was introduced by Werner Heisenberg in 1924 and then systematically developed by Max Born, Heisenberg, and Pascual Jordan, of Germany, and by P.A.M. Dirac, of England. Moreover, Erwin Schr?inger, an Austrian physicist, pursuing a line of thought pointed out by Einstein and Louis de Broglie, arrived at results that were outwardly quite different from those of Heisenberg et al., but were mathematically equivalent. The quantum mechanics, or wave mechanics, created by these men, which formulated quantum phenomena, were later extended to quantum electrodynamics. (see also Planck's constant)

Einstein's theory of relativity, first formulated in 1905, which was eventually extended from a special to a general formulation, brought about a revolutionary transformation in physics similar to that induced by quantum theory. The Newtonian mechanics of mass points turned out to have been merely an approximation to the more exact relativistic mechanics. The most important consequence of the special theory of relativity, the equivalence of mass (m) and energy (E),

in which c is the velocity of light, was formulated by Einstein himself.

After 1916 Einstein strove to extend the theory of relativity to the so-called general theory, a formulation that includes gravitation, which was still being expressed in the form imparted to it by Newton; i.e., that of a theory of action at a distance. Einstein did succeed in the case of gravitation in reducing it to a local-action theory, but, in so doing, he increased the mathematical complexity considerably, as Maxwell, too, had done when he transformed electrodynamics from a theory of action at a distance to a local-action theory.

The great importance of physics for the technology that depends upon it--which has become a leading factor in the rapidly increasing development in the conditions of human existence--is shown historically in the close connection of decisive technical developments with basic advances in physical knowledge. Einstein's equivalence of mass and energy--to cite but one example--pointed to the atomic nucleus as an energy source that could be opened up through the study of nuclear physics. Moreover, the intellectual influence proceeding from physics and affecting the development of modern thought has become especially strong through the deepened grasp of the concept of causality that has followed from quantum theory (see below Modalities of the natural order ). (see also nuclear energy)

 

3.1.1.2 Basic characteristics and parameters of the natural order.

3.1.1.2.1 Framework of the natural order.

Earlier mathematicians and particularly Richard Dedekind, a pre-World War I number theorist, have precisely defined the concept of real numbers, which include both rational numbers, such as 277/931, expressible as ratios of any two whole numbers (integers), and irrational numbers, such as {radical} 27, {pi}, or e, which lie between the rationals. By reference to these numbers, the Newtonian concept of space and time, which presupposes a Euclidean geometry of space, may be made precise: the values of the time t, ordered according to the ideas of earlier and later, can be made to correspond to the single real numbers, ordered according to those of smaller and larger. Also, the points on a straight line can be brought into correspondence with the real numbers in such a manner that the location of a point P between two other points P1 and P2 corresponds to a number assigned to P that lies between those assigned to P1 and P2.

Guided by the wish to find a method that allows the systematic proof of all philosophical truths, Ren?Descartes, often called the founder of modern philosophy, established in the 17th century the analytic geometry of Euclidean planes. In it the points of a plane can be designated by two numbers x, y, their coordinates. One chooses two orthogonal coordinate axes, x = 0 and y = 0, like those of a graph, and, with any point P, associates its two projections, one upon each coordinate axis, which define the location of P. A curve in the x - y plane is then expressed by an equation f (x,y) = 0, shorthand for any equation ("function") containing x's and y's. In the context of analytic geometry, every theorem of plane Euclidean geometry may be expressed by equations and thus be analytically proved.

This procedure can also be extended to three-dimensional Euclidean space by introducing three mutually perpendicular axes x,y,z. In this case, there are two different axis systems--either congruent or mirror reflections--analogous to right-handed and left-handed screws.

The simple space-time relationships of Newtonian physics have been changed in many ways by modern developments. The concept of simultaneity has been made relative by the special theory of relativity; every time measurement t is thus tied to a definite inertial system or moving frame of reference. It is accordingly appropriate to speak not primarily of points in time but of events, which are defined in each case by giving both a point in space and a point in time.

More specifically, an inertial system is a coordinate system that, relative to the fixed stars, is in uniform, straight-line motion (or at rest) with no rotation. In all inertial systems, Newton's principle of inertia, which states that all mass points not acted upon by some force persist in uniform motion with a constant velocity, is valid.

Moreover, cosmological theories make it probable that space in the real astronomical universe corresponds only approximately to the relationships of Euclidean geometry and that the approximation can be improved by replacing Euclidean space with a space of constant positive curvature. Such a space can be mathematically defined as a three-dimensional hyperspherical "surface"

in a hypothetical Euclidean space of four dimensions with mutually perpendicular x,y,z, and u coordinate axes.

The assertion that the foregoing statement has no operationally comprehensible content--i.e., no content provable by performable measurements--is designated conventionalism, a view that is based on a remark by a French mathematician, Henri Poincar, who was also a philosopher of science, that a fixed non-Euclidean space can be mapped point by point on a Euclidean space so that both are suitable for the description of the astronomical reality. The range of this remark is limited, however, in that this mapping, though it can indeed carry over points into points, can in no way carry over straight lines into straight lines. Hence, many philosophers of science have held that, as long as astronomical light rays are held to be straight lines, the question of a possible curvature of space (i.e., a deviation from Euclidean conditions) will by no means be solved by some arbitrary convention; that it signifies, instead, a problem to be solved empirically. If the universe in fact has a positive constant curvature, then every straight line has a length that is only finite, and its points no longer correspond, as in the Euclidean case, to the set of all real numbers.

In a very definite manner, cosmological facts have further indicated that time is by no means unlimited both forward and backward. Rather, it seems that time as such had a beginning about 1010 to 2 ?010 years ago; thus, with an explosive beginning, the cosmic development began as an expansion. (see also big-bang model)

The foregoing discussion has considered only the replacement of Euclidean spatial concepts by an elementary non-Euclidean geometry corresponding to a space with a constant curvature. According to Einstein, however, the fundamental idea of a still more generalized Riemannian geometry, so-called after Bernhard Riemann, a geometer and function theorist, must be brought into play in order to produce a local-action theory of gravitation.

Riemannian geometry is a further development of the theory of surfaces created by the 18th- and 19th-century German mathematician and astronomer Carl Friedrich Gauss, often called the founder of modern mathematics, a theory that aimed to investigate the curved surfaces of three-dimensional (Euclidean) spaces with exclusive regard to their own inner dimensions and no consideration of their being imbedded in a three-dimensional space. (see also Gaussian curvature)

Gauss thought that the points on such a surface could be specified by reference to two arbitrary coordinates u and v defined with the help of two single-parameter families of curves, u = constant and v = constant. The square of the infinitesimal distance between two adjacent points of the surface, ds2, is then a quadratic form of the differentials du and dv, belonging to the pair of points, namely,

in which the coefficients gk1 are functions of position. One can then calculate the curvature corresponding to the location of the pair of points according to a prescription given by Gauss, a curvature that measures the deviation from Euclidean plane behaviour that exists at this point. The curvature is a definite function of the gk1 and their first derivatives.

Riemann extended Gauss's considerations to the case of a three-dimensional space that can have different curvature properties from place to place (expressed by several functions of position that are collectively called the curvature tensor); and Einstein generalized these ideas still further, applying them to the four-dimensional space-time continuum, and thereby attained a reduction of the Newtonian action-at-a-distance theory of gravitation to a local-action theory. (see also non-Euclidean geometry, Riemann-Christoffel curvature tensor)

 

3.1.1.2.2 Contents of the natural order.

Among the most basic constituents of the physical world are symmetries, fields, matter, and action.

Symmetry is one of the chief concepts of modern mathematics, which combines the different symmetries belonging to an object or a concept into groups of relevant symmetries. The a priori investigation of the totality of possible groups, defined with respect to some operation (such as multiplication), comprises a division of modern mathematics called group theory.

Three-dimensional Euclidean space displays several important symmetry properties. It is homogeneous; i.e., arbitrary shifts in the origin or zero point of the coordinate system produce no change in the analytic expression of the geometrical laws. It is also isotropic; that is, rotations of the coordinate system leave all geometrical laws in effect. Further, it is symmetric with regard to mirror reflections. It is tempting to suppose that these symmetry properties of space are also valid for the physical processes that occur in space, and this is indeed true over a wide range of cases, but not in all cases (for exceptions, see below Problems at the quantum level ).

That Newtonian mechanics and Maxwellian electrodynamics display in fact all of the symmetries of Euclidean space is revealed by the fact that they can be formulated in the language of vector analysis. Passing over the more familiar Newtonian mechanics, a few points about Maxwell's theory may be mentioned. This theory can be made to satisfy the requirements of operational thinking by ascribing to the electric and magnetic field strengths the significance of measurable physical realities, which makes it unnecessary to interpret them as states of a mysterious, hypothetical substance or ether, for which, in any case, the special theory of relativity (with the equivalence of all inertial systems) has no place.

Mathematically interpreted, a vector a represents a quantity with both magnitude and direction, which preserves its length or value and its direction when displaced. The vector field--i.e., the association of a vector with every point in space (e.g., electric field strength, or electric current density)--and the line integral (or summation) of a vector field V along a curve K leading from a point P to a point P ' are basic concepts in vector analysis. To obtain the line integral, the curve K is divided into infinitesimal elements ds, the scalar (numerical or nonvector) product of ds with the value of V at that point is taken, and the results are summed with an integration.

A small surface area envisioned with a given sense of rotation around its boundary curve can also be described by a vector. In this instance, the vector, dF is perpendicular to the surface and forms, with the sense of rotation about the boundary, a right-handed system. Its magnitude is the area of the surface. The flux of the vector field V through the surface dF is called the scalar product V ?dF.

If V has the property that the line integral along every closed curve K is equal to zero, then V is said to be irrotational. This property is equivalent to the requirement that the vector field be a so-called gradient field; i.e., that there exist a scalar field quantity W with the property that the difference in the value of W at two points P and P ' is equal to the line integral of the vector field V from P to P ' (along any arbitrary curve K ). If V is, for example, an electrostatic (charged) field, the significance of being irrotational is that one can gain no mechanical work in leading a small test charge around any closed curve; the work involved is equal to zero. For an unclosed curve K, however, the movement of the test charge yields an amount of mechanical work that is proportional to the potential difference between the endpoints of the curve. The components of the gradient of W, expressed in partial derivatives {partial deriv.}, are

If the vector field is not irrotational, there can then be constructed from it an adjunct rotational field, called curl V, by considering a small (infinitesimal) surface area dF located at a point P and forming the line integral of V along the boundary curve of dF. Then, when this line integral is divided by the magnitude of the surface area, the component of the curl V parallel to the vector dF is obtained.

On the other hand, the flux of a vector field V out of a closed surface can be formed by integration. If this flux is always zero (for every choice of a closed surface), V is called source-free. Otherwise, there is a so-called divergence of V at a point P, which is defined as follows: one divides the net flux of V out of a small surface that surrounds P by the volume enclosed by the surface. The limit of this quotient for infinitesimally small surfaces is called the divergence of V at P or the source field div V. (see also divergence of a vector field)

The formulation of the basic laws of electrodynamics given by Maxwell is called the Maxwell equations. These equations contain, for example, the statement that, in a vacuum, the source field of the electric field strength is proportional to the spatial electric charge density, symbolized by the Greek letter rho, {rho}, and that the magnetic field strength is source-free (divergence equal to zero). Thus, magnetic monopoles having no correlate of opposite sign do not exist. Remembering that every source-free vector field may be expressed mathematically as a rotation field (and vice versa), it is possible to derive the magnetic field strength H as a rotation field from a vector field A, which is usually called the vector potential of H

The fundamental law of the conservation of charge results from Maxwell's equations in the form of the continuity equation (see also charge conservation)

in which {rho}is the time derivative of the charge density, and the vector field i is the electric current density.

In the case of a vacuum, the Maxwell equation that expresses Faraday's law of induction takes the form of a proportionality between the rotation field of the electric field strength and the time derivative of the magnetic field strength:

It is a significant fact that Maxwell's theory leads to a localization of energy, which in electromagnetic fields is propagated somewhat in the manner of a substance, with a density that, for the vacuum case, is

There remains also the unsolved problem of clarifying the relation of gravitation to quantum theory, which is much aggravated by the fact that gravitational energy allows of no similar localization.

In both mechanics and electrodynamics, the fundamental equations have such a form that they can be understood as the conditions for a variational or an extremal principle: that, through the fulfillment of these conditions, a certain integral receives an extreme value. This integral, which has the dimensions of action--i.e., of energy times time--is one of the most fundamental quantities of nature. Although the concept of action is less obvious to man's physical intuition than that of energy, it is of even greater significance, as it appears also in connection with the quantum laws. For the basic constant of all of quantum physics, which always occurs in the laws of this domain, is likewise of this dimension: namely, Planck's quantum of action (see also Planck's constant)

 

3.1.1.2.3 Modalities of the natural order.

In a purely phenomenalist theory of matter--i.e., a theory that does not go into the details of atomic physics but considers matter only in a first approximation as a spatially extended continuum--numerous material properties are ascribed to every type of matter, properties such as density, electrical conductivity, magnetizability, dielectric constant, thermal conductivity, and specific heat. To be complete, a theory must provide a means of deriving all of these material properties theoretically from the laws of atomic physics.

The hiatus-free causality envisioned throughout the science of physics before the rise of quantum theory cannot be separated conceptually from the far-reaching assumption that all physical processes are continuous. It had been supposed that continuous changes in antecedent causal processes would issue in continuous changes in the sequence of processes that are causally dependent upon them. Quantum physics, however, has expressly breached the old philosophical axiom that natura non facit saltus ("nature does not make leaps") and has introduced a granularity not only in the matter filling space but also in the finest processes of nature. It is therefore only logical that, with respect to causality, the quantum theory would arrive at new and modified ideas as well. Renouncing unbroken causality, it speaks only of a probability that is statistical and a predetermination for the discrete saltatory events of which physical processes consist--a view that must now, in spite of Einstein, be regarded as irrevocable.

The special theory of relativity demands that the fundamental validity of the local-action principle be acknowledged: all actions have only finite velocities of propagation, which cannot exceed the velocity of light. Thus, in relativistic cosmology it is quite possible that two partial regions of the total spatial manifold may exist between which no causal interaction can occur: causal influences could then assert themselves only inside the so-called interdependent regions in the space-time manifold. These remarks also apply to the quantum theory, in which, however, instead of a causal dependence of physical processes upon each other, there is only an induction of statistical probabilities for possible quantum transitions. (see also special relativity)

3.1.1.2.4 Levels of the natural order.

Moving in quite different directions, the theory of relativity on the one hand and the quantum theory on the other have diverged from the earlier ideas of classical physics, which were considered unalterable. There are some physical problems, however, that can be thought through only by appealing to both the relativistic and the quantum-theoretical modifications. A so-called joint relativistic and quantum-mechanical theory suitable for such problems is quantum electrodynamics, the development of which, however, is not yet complete. Its development was greatly hindered at first by certain mathematical difficulties (so-called divergences), which it later became possible to mitigate by renormalization--i.e., by a technique of correcting the calculated results. The more generally conceived quantum theory of wave fields finds a broad area of possible application in the physics of the different kinds of elementary, though short-lived, particles produced by the huge high-energy accelerators. In its final form, the theory of elementary particles should not only formulate, in general, the laws valid for all known elementary particles but should also allow a deductive derivation for all possible kinds of elementary particles--analogous to the derivations of elements in the periodic table. Heisenberg endeavoured to set up this far-reaching problem, which has been called the world formula, for a solution. Imposing mathematical difficulties, however, have arisen in the attempt to clarify its consequences for a quantitative comparison with experience, and considerable further work may still be required.

 

3.1.1.3 Special problems in the philosophy of physics.

3.1.1.3.1 Problems at the formal level.

 

Euclidean space, in contrast to imaginable spatial structures that deviate from it, is distinguished by the simplicity of the topological properties (those preserved through rubberlike stretching and compressing, but without any tearing) that arise from its unusually simple continuity relationships. One may ask, then, whether the empirical knowledge of modern physics gives any cause to consider deviations from the topological relations of Euclidean space. The American physicist John A. Wheeler, author of a new theory of physics called geometrodynamics, has speculated about this question. In particular, he has pointed to the possibility of so-called worm holes in space, analogous to the way in which the cylindrical surface of a smooth tree trunk is changed topologically if a worm bores a hole into the trunk and emerges from it again elsewhere: the surface of the trunk has thus obtained a "handle." Similarly, one can envision certain handles being added to three-dimensional Euclidean space. Whether this hypothesis can be fruitful for the theory of elementary particles is yet to be determined. From the methodological and epistemological standpoints, it is obvious that a geometrical structure is here being assumed, the measurement of which is fundamentally hindered by the lack of rulers with calibrations smaller than the structure itself. Presumably, the practical possibility of appealing to such topological modifications of the ordinary notion of space is to be found in astrophysics rather than in elementary particle physics. Viktor A. Ambartsumian, an Armenian-born astrophysicist, is convinced that the processes involved in the origins of galaxies are connected with explosions in which the matter of new stellar systems arises from prestellar material; it has been found tempting to suppose that this prestellar material exists in regions with unusual topological properties.

The basic idea of the special theory of relativity can also be understood as a statement about the symmetry properties of the four-dimensional space-time manifold. The special principle of relativity states, in fact, that the same physical laws are valid in all of the various inertial coordinate systems--in particular the law that the velocity of light in a vacuum always has the value c. This equivalence of the space-time coordinates x,y,z,t with other coordinates x', y', z', t' that are linear, homogeneous functions of the unprimed coordinates can be expressed by the equation (see also special relativity)

In this formulation, the isotropy of space--its sameness in all directions--appears as a special case of a more comprehensive symmetry property of the space-time manifold. When t = t', the special case of a purely spatial rotation of coordinates is obtained; and in the general case, in which the primed coordinates are moving with velocity u with respect to the unprimed, the famous Lorentz transformations are obtained, which, to adjust to the finiteness of c, add a factor, symbolized by the Greek letter gamma, to the ordinary Galilean transformation, thus yielding

The group of symmetries of the four-dimensional space-time manifold thus produced is called Poincar?group.

 

3.1.1.3.2 Problems at the quantum level.

Problems of particle theory, complementarity, and symmetry have arisen in studies at the quantum level.

Whereas the atomic nuclei beyond hydrogen-1 (the proton) are compounded structures, consisting of neutrons and protons, modern physics also deals with numerous elementary particles--neutrinos; {pi}(pi), {mu}(mu), and K mesons; hyperons; etc.--that are thought of as uncompounded. The elementary particles of each particular kind show no individual differences. Each elementary particle has a corresponding antiparticle, which, for charged particles, always carries a charge of opposite sign. (The {gamma}[photon], {pi}0, and Z0 particles are understood to be their own antiparticles.) Whether Heisenberg's world formula can provide a complete framework for all possible kinds of elementary particles is undecided.

Every type of elementary particle has a definite value for its spin, either integral (e.g., photons) or half-integral (e.g., electrons, protons, neutrinos). Particles with half-integral spin obey Fermi-Dirac statistics; those with integral spin obey Bose-Einstein statistics, which differ in form as u/(1 + u) differs from u/(1 - u)--u being any function. The conformity to law that underlies the Fermi-Dirac statistics for electrons was first recognized by Wolfgang Pauli and formulated as the Pauli exclusion principle, which played a decisive role in settling upon the shell structure in the periodic system of the elements.

The basic duality of waves and corpuscles is of universal significance for all kinds of elementary particles, even for composite particles in those experiments that cannot lead to a breakup of the particles into their component parts. (see also uncertainty principle, wave-particle duality)

An electron (and analogously any other elementary particle or even, for example, an alpha particle) can appear just as well in the form of a wave as in that of a localized corpuscle. In an idealized thought experiment, one can imagine that the position of an electron can be ascertained with a gamma-ray microscope. If the electron is described in terms of wave processes in the sense of Schr?inger's wave mechanics, a very sharply concentrated wave packet appears at the stated position. In an investigation of this packet by Fourier analysis--a technique that analyzes a function into its sinusoidal components--wave components of quite different wavelengths occur; thus an electron in this condition has no definite value for its de Broglie wavelength and consequently none also for its translational momentum. Then, as stated in the so-called de Broglie relation, (see also de Broglie wave)

there is for an electron moving free from impinging forces a corresponding wavelength, symbolized by the Greek letter lambda, {lambda}, that is inversely proportional to its momentum mv. And conversely, an electron moving inertially with a definite momentum (which in the limiting case of small velocities is equal to the product of the mass and the velocity vector) has no definite position. If an electron that is moving inertially (especially an electron at rest) is constrained by the use of a gamma-ray microscope to "make up its mind," as it were, on a location, then the probability of its appearance at a point in space is the same for all locations. More precisely stated, the probability of the appearance of the electron in a definite volume is proportional to the magnitude of this volume.

In particular, it will be helpful to consider an electron moving in the x-direction and to suppose that it has a wave amplitude that depends only upon x, an electron in which the most representative wavelengths are confined to a narrow interval while the amplitudes that are discernibly different from zero are likewise confined to a certain interval {delta}x. If, on the other hand, {delta}p is the range of discernible momentum values--computed from the discernible wavelengths that represent them according to the de Broglie relation (12)--then the product of the uncertainties {delta}x and {delta}p cannot be smaller than Planck's fundamental quantum of action h. This statement comprises the famous Heisenberg uncertainty relation, which expresses the "complementarity" of position and momentum--as Niels Bohr characterized it. (see also Planck's constant)

If one assumes, as above, that all physically possible states of an electron can be represented by Schr?inger's wave mechanics, then the complementarity of the position coordinate x and its corresponding conjugate momentum px is a simple mathematical fact. When one thinks primarily of physical-measurement experiments, it should be emphasized that stringent limitations are imposed on the simultaneous measurement of the position and momentum of a particle which, according to the uncertainty principle, make it impossible to measure simultaneously both of these complementary quantities with unlimited precision. In an experiment that measures its position, the electron is forced into a sharper localization; and its particle nature is evident. By contrast, in an experiment that measures its momentum, an interference experiment is involved; the electron must be able to display a certain wavelength, which requires an adequately extended region in space for its reacting. These two complementary and opposing demands can be brought into harmony only in the sense of a compromise; and the Heisenberg uncertainty relation formulates the best possible compromise. (see also complementarity principle)

Thus, it becomes at the same time clear that the state of the electron given in the wave-mechanical description before carrying out a new measurement experiment can establish only a statistical prediction for the result. The probability density for the appearance of an electron at a point in space is given by the square of the absolute value of the (complex) Schr?inger wave amplitude; for a definite result in measuring a wavelength or a momentum, the square of the absolute value of the (complex) Fourier coefficient belonging to it provides the standard. The general statistical transformation theory of quantum mechanics (as developed by Dirac and Jordan) gives a complete review of the measurable physical quantities for a microscopic mass point (or a system of such points). According to this theory, two different measurable quantities A and B can be simultaneously determined with unlimited precision only if the operators or matrices that describe A and B commute--i.e., if AB = BA.

A transformation in which the nucleus emits an electron and a neutrino is called beta decay, an example of nuclear radioactivity. The forces that thus come to light are those of the so-called weak interactions. It has been experimentally determined that for these forces the symmetry associated with reflections in a mirror does not hold. At least in certain circumstances, however, a remnant of this symmetry continues to hold, in which the so-called CPT (for the initials in charge/parity/time) theorem applies. This theorem states that basic physical laws remain of unaltered validity when a reflection of the space coordinates as in a mirror is combined with an interchange of positive and negative charge (which is largely synonymous with the interchange of particles and antiparticles) and with a reversal of the direction of time. Whether or not this symmetry law is valid without exception is by no means fully clarified at present.

 

3.1.1.3.3 Problems at the macrophysical level.

Proceeding from the properties of atoms and molecules that are described in terms of quantum theory, a theory of macrophysical substance aggregates has been built using statistical mechanics. The theories of heat, of gases, and of solid-state aggregates (crystal lattices) have been extensively clarified. Only the liquid state still poses certain unsolved problems for the statistical theory of heat.

In any case, Newtonian mechanics may be derived as a macroscopic consequence of the laws of the mechanics of atoms, and its validity for the motions of astronomical bodies presents no problem. It is not so simple to prove, however, that the statements of Newtonian mechanics for rotating bodies (i.e., the mechanical laws of centrifugal force and the Coriolis force) may be established from Einstein's general theory of relativity. Ernst Mach, a physicist and philosopher of science whose train of thought has substantially fertilized the modern development of physics from the point of view of the theory of knowledge, raised objections against Newton's idea that centrifugal force is a consequence of the absolute rotation of a body; he asserted instead that the rotation of a body relative to the very distant giant mass of the universe was the true cause of centrifugal force. This idea, often referred to as Mach's principle, has been corroborated, though in a different form, within the conceptual framework of Einstein's general theory. An irrotational coordinate system--specifically, a system not rotating with respect to the fixed stars (or, better, to the spiral nebulae)--is distinguished from a rotating system by the difference in the metric field for the two cases (i.e., in the properties of their respective space-times as expressed by the equation--(3) above--for the interval between two events). It is true that the local metric field (in the vicinity of the solar system) is influenced by the distant masses of the universe, but of course only in the sense of a local-action principle and therefore in no way such that the metric in the solar system is directly given as a function of these distant masses and of their motions.

The question of the precise circumstances in which Mach's principle can still be defended on the basis of Einstein's theory is somewhat complicated and thus remains obscure. In any case, it is certain that a deduction of this principle from Einstein's theory can only be given in conjunction with a complete solution of the cosmological problem; i.e., of the problem of what are the overall geometric and dynamic properties of the universe considered in its totality. The remaining problems involved in justifying the application of classical Newtonian mechanics in astronomy by means of Einstein's theory contain, however, no additional fundamental difficulties.

There is one more influence of cosmological relationships upon macroscopic physics, which arises in connection with thermodynamics. The existence of irreversible processes in thermodynamics indicates a distinction between the positive and negative directions in time. As Clausius recognized in the 19th century, this irreversibility reflects a quantity, first defined by him, called entropy, which measures the degree of randomness evolving from all physical processes by which their energies tend to degrade into heat. Entropy can only increase in the positive direction of time. In fact, the increase in entropy during a process is a measure of the irreversibility of that process. In contrast, it is true of the quantum theory of the atom that the positive and negative directions in time are equally justifiable (in the sense of the principle of CPT symmetry). Consequently, it is difficult to understand how statistical mechanics can make possible a thermodynamics in which the entropy grows with time.

It is true that there are fluctuating thermodynamic phenomena, even in a system in overall thermodynamic equilibrium--and here theory and experiment agree. Thus, the states that arise within any small partial volume of the system may be not only those that are thermodynamically most probable but also transitory deviations from the most probable state. The mention of these fluctuations, however, does not help to remove the above paradox.

Most physicists now hold that, until recently, this problem was treated erroneously in the usual textbook presentations. In the statistical theory of heat, entropy was regarded as proportional to the logarithm of the thermodynamic probability, and students came to regard it as a necessity of thought that nature progresses from states of lower probability to states of higher probability. In truth, however, the increase of entropy is a real physical property of the positive direction in time. Nonetheless, it was supposed that shaking a vessel containing red and white balls (or even grains of sand) in an originally ordered condition with the two colours neatly separated must result in a condition of extreme intermixing of balls. This result does not correspond, however, to some necessity of thought but to an empirical property of the real universe in which men live and experiment.

This interpretation, which was held for a long time and has only quite recently been recognized as erroneous, was allegedly supported by a famous mathematical theorem of Boltzmann, which seemed to show that, in an ideal gas for which the entropy--measured by its number of particles and its total energy--was not yet at its maximum value, the entropy must increase. If collisions of gas molecules are characterized by velocity vectors that are mechanically allowable (both before and after the collision), and if these vectors must satisfy both energy and momentum conservation, then what Boltzmann actually proved is that the entropy increase follows only when a correct count of the collision rate is made, according to which every kind of collision of gas molecules has a frequency of occurrence proportional to the product of the number of collision pairs that were present and the velocities that existed before the impact.

As one can subsequently see, the positive direction in time is already marked out by the collision rate count in a manner that no longer corresponds to the CPT principle. Although it is in fact possible to reason out the continuous increase in entropy on this basis, the paradox is not overcome. The question then remains of how it is physically justifiable--i.e., how it can correspond to reality--to regard this principle of collision rates as valid even though it fundamentally contradicts the CPT principle.

An answer to this paradox can now be given, thanks to the insight of modern theoreticians--among them Hermann Bondi, a mathematician and cosmologist--who have shown that the entropy principle must be understood in the sense that in the universe as a whole, one definite time direction is singled out, namely, the one for which the universe expands. The thermodynamic distinction of a positive direction in time--with increasing entropy on the macroscopic level and with collision rate counts on the microscopic level--results from an expansion of the universe. Surprisingly, the Hubble expansion of the system of all the galaxies--so named after Edwin Hubble, an extragalactic astronomer--thus displays physical effects right down to the level of everyday physics; specifically, when two bodies at different temperatures are brought into thermal contact, the temperature equalization that results is an irreversible process corresponding to an asymmetry of the positive and negative directions in time that depends upon the expansion of the universe. (see also cosmology )

 

3.1.1.3.4 Problems at the cosmological level.

A mathematical discovery by Alexander Friedmann has become of great significance for the mathematical derivation of cosmological models from Einstein's general theory of relativity. According to Friedmann, if the average mass density is constant throughout space, the gravitational field equations can be satisfied by a metric that embraces a three-dimensional space of constant curvature together with a time coordinate t such that the radius of curvature R(t) is a definite function of time; and these cosmologies turn out differently depending upon whether the curvature of space is positive, negative, or zero. Among the models of the universe that are mathematically allowable are models in which the time coordinate may run through all values from zero to infinity, models in which the time is limited to a finite interval, and models in which it may run from minus infinity to plus infinity. (see also Friedmann model)

For a time, many specialists working in the field of cosmology found the so-called steady-state theory, first projected by an astronomer, Sir Fred Hoyle, especially convincing. In a modified version, this theory was adapted to the Friedmann model by Bondi. By adopting the so-called perfect cosmological principle, which holds that the broadest features of the universe are the same at all times as well as at all places, the theory then satisfied the unusually high symmetry or homogeneity requirements not only of a three-dimensional space with constant time but also of the entire space-time manifold. This high-degree homogeneity was so convincing to many authors that, in deference to it, a fundamental deviation from Einstein's field equations was tolerated: Bondi and Hoyle supposed that a small but constant creation of hydrogen occurs in the intergalactic vacuum. This hypothesis was introduced in order to achieve, in spite of the Hubble expansion of space, a mass density that remained constant in the universe.

This theory, which in spite of its deviation from Einstein's field equations certainly advocates an allowable hypothesis worthy of consideration, no longer seems tenable, however, because of the discovery of background radiation with a present temperature of 3?Kelvin, which is interpreted as a remnant of an original "big-bang" beginning of the universe. It thus appears that it is no longer possible to uphold the steady-state theory or the perfect cosmological principle upon which it is based. Instead, one must favour either a Friedmann model, which has a beginning, from which it expands monotonically and without limit; or a Lema?re model, in which a quantity lambda, {lambda}, called the cosmical constant, arises that is, mathematically, a constant of integration, and physically, a force of cosmic repulsion that partially neutralizes that of gravitational attraction, and which lends a curvature to space even in its empty regions. For both of these models the time coordinate increases without limit from some initial value, which would naturally be called zero. For the beginning of time, one thinks, moreover, of a singularity R(0) = 0 and thus of a space that at the null point of time is still a mass point. Cyclical models that alternately expand and contract in an endless sequence have also been discussed. (see also big-bang model)

The empirical cosmological data, some of which, indeed, are more estimated than ascertained, seem to suggest that, in the present-day universe, the positive energy corresponding to the total rest mass of all the material existing in the universe may be exactly equal to the negative gravitational energy existing in the universe; thus, the total energy would then be equal to zero. This interesting singularity, however, needs further support. At one time, Dirac advocated the speculation that the total mass of the universe is not constant in time but is increasing--at a rate somewhat slower, however, than that in the steady-state theory. Ambartsumian's notion concerning prestellar material, which was mentioned above (see Problems at the formal level ), could perhaps be considered support for this idea. Many further discussions have followed another conjecture by Dirac, according to which the gravitational constant G should be liable to change in the course of cosmic development. This constant would thus have to be considered a scalar field quantity, which in a Friedmann universe is approximately independent of the three space variables but dependent on the time variable. In spite of extensive theoretical deliberations on this theme, no decision has yet been reached.

The way has been opened for some fundamental conjectures on certain emerging themes by the fact that the product of the mean mass density in the universe and the gravitational constant has the same order of magnitude as the square of the reciprocal of the radius of curvature of the universe. The aforementioned relation between the mass and gravitational energy in the universe presents a different expression for this ratio. The total mass of the universe divided by the proton mass probably has approximately the order of magnitude 1080, according to present cosmological notions. The order of magnitude of the radius of curvature of the universe is approximately 1040, when expressed as a multiple of an elementary length of which the order of magnitude is approximately that of the nuclear radius. Whether it is justifiable to presume that there is here a functional dependence--i.e., a proportionality of M to R squared--is a question for the present still undecidable. The speculative attempt of Dirac to find an answer, however, is still--at least provisionally--judged with skepticism by the majority of physicists. (P.W.J.)

 

3.1.2 PHILOSOPHY OF BIOLOGY

The sharp increase in man's understanding of biological processes that has occurred in recent years has stimulated philosophical interest in biology to an extent unprecedented since the development of evolutionary theory in the 19th century. Biologists and philosophers alike have devoted much attention to a variety of issues regarding the subject matter and the methodology of biology, resulting in a sizable output of written material, formulating philosophical questions that are still arising and framing answers to acknowledged difficulties. Most of the problems of the philosophy of biology are old questions now being investigated afresh in the light of biological advances and new standards of philosophical rigour. In this account contemporary questions will be stressed.

 

3.1.2.1 The range of topics.

An investigation of recent writings in biophilosophy reveals a continued preoccupation with unanswered--some say unanswerable--questions about evolutionary theory and a growing concern for a critical reappraisal of the question of whether biology is an autonomous discipline unamenable to reduction to mere physical and chemical underpinnings. Until the mid-20th century the biological sciences suffered from a lack of attention by philosophers; the principles that were generated were far less rigorously examined than were those of the physical sciences. There is now renewed hope, however, for a fresh approach to the age-old puzzles regarding life and its raison d'?re. This hope rests on the recrudescence of interest in all biological matters as a direct result of an increased understanding of biological processes, of the changing quality of life, of the growing awareness of man's stewardship of the Earth, and of the exploration of space. Biology has just begun to make the sort of impact that the physical sciences have already made. It has generated a life technology with genetic engineering, organ transplants, and artificial organs. Each innovation, each technical masterstroke, each conceptual knot united emphasizes the need for a definitive philosophy of biology, and developments toward this goal are now under way. Good biological work has been accomplished by investigators with varied philosophical outlooks ranging from Neo-Thomism to skeptical naturalism. No inevitable metaphysics evolves from the study of biology or any other natural science; nevertheless, some of the general conclusions of biology have a philosophical interest, defining the limits of reasonable belief about the nature of the living world.

Categorical discontinuities that are recognized for the purpose of scientific methodology often seem impossible to justify as "natural" distinctions. Many biologists have noted, for example, that it is easier to study life than it is to define it. Properties such as metabolism and reproduction undeniably characterize organisms and might be said to define them, yet such a definition is arbitrary to the extent that such properties are logically independent. What is true of all life forms today may not have been true of the very earliest ones and, what is more, might not be true of extra-terrestrial ones that might be encountered in the future. There is not as yet a set of nonarbitrary characteristics that mark the distinction between living and nonliving systems. Moreover, in the course of analysis, it becomes necessary to arrange all of the phenomena of nature in a more or less linear, continuous sequence of classes and then to describe events occurring in the class of more complex phenomena in terms of events in the classes of less complex phenomena (principle of hierarchical continuity). Within each class, however, there are numerous interrelations observed between events of the same order of complexity. It is thus possible to recognize a number of more or less autonomous disciplines, each permitting generalization, but ordered so that the more complex events treated by one discipline can also be analyzed in terms of less complex events treated by another discipline. It is possible, for example, to establish a body of generalizations about human society independent of the behaviour of individual persons; a number of generalizations about individual behaviour without consideration of the physiology of the sensory, conductor, and effector mechanisms involved; and a large body of generalizations about muscle or nerve physiology without considering the molecular mechanisms involved. A particularly striking feature of the hierarchy is that an increase in complexity is coupled with the emergence of new characteristics. The origin and development of life from small systems that synthesized biochemicals to organisms that perform highly complicated functions suggests that the hierarchical arrangement of nature and the sciences is correlated with the temporal order of evolution. The maintenance of a steady state by metabolism, reproduction, responsiveness, modification of response by experience, tradition, and social phenomena are just some of the more dramatic examples of emergent phenomena. The emergence of new qualities as evolution proceeds might generally characterize the universe.

Moreover, photosynthesis, on the one hand, and reproduction followed by natural selection, on the other, provide a mechanism by which physically less probable systems can emerge locally from physically more probable ones. Though it frequently has been supposed that physical evolution is at an end, there is no reason to suppose that this is true of social development, for which Sir Julian Huxley, a biologist, philosopher, and educator, provided an evolutionary context. In his Romanes Lectures, published in 1943, Huxley wrote:

 

It is only through social evolution that the world-stuff can now realize radically new possibilities. Mechanical interaction and natural selection still operate, but have become of secondary importance. For good or evil, the mechanism of evolution has in the main been transferred [in man] onto the social or conscious level. . . . The slow methods of variation and heredity are outstripped by the speedier processes of acquiring and transmitting experience. . . .

And in so far as the mechanism of evolution ceases to be blind and automatic and becomes conscious, ethics can be injected into the evolutionary process. Before man that process was merely amoral. After his emergence onto life's stage it became possible to introduce faith, courage, love of truth, goodness--in a word moral purpose--into evolution. It became possible, but the possibility has been and is often unrealized.

It may well be that social evolution is only in its early stages. These stages, moreover, have for the most part taken place in a period during which systematic knowledge was undeveloped. A Russian mineralogist, Vladimir Vernadsky, the founder of biogeochemistry, regarded the envelope of the Earth as passing from a stage determined primarily by biological processes to one determined by conscious human effort. He called this layer of consciousness the no?phere. The concept was later extended, notably by Pierre Teilhard de Chardin, a French priest and paleontologist, who began the building of a new philosophic bridge between biology and religion.

 

3.1.2.2 The nature of biological systems.

Questions about the character of biological systems and of the biological world merge with those about the concepts and methods required for their understanding. Although the two cannot be wholly separated, in this account those matters most clearly related to the substantive philosophical aspects of biology will be stressed. Methodological issues will be touched on in respect to the concepts being elucidated.

 

3.1.2.2.1 Origin and definition of life.

Space exploration has directly influenced the development of life-detecting devices. This technological need spurred intensive study regarding the kinds of evidence living things display reflecting their aliveness. In his Chance and Necessity (1972) Jacques Monod, a biologist, deals with the invariance of genetic endowment, morphological autonomy, reproductive invariance, and teleonomy (the tendency to have a purpose or project written into their molecules) as the major properties of living systems; he considers that they involve the chance and necessity that determine the course and character of the entire biological world.

Philosophers have long deliberated over the definitive features of living systems. The distinction between living and nonliving, which was widely discussed at the turn of the 20th century, has lost much of its interest for current biology. A growing conviction, intuitively felt by many biologists, is that no clear line can be drawn between the living and the nonliving. The bridge between what is and is not obviously alive consists of a range of problematic agents, including viruses and genes, which appear to be living at times and nonliving at other times.

 

3.1.2.2.2 Viewpoints on the nature of life.

Basically and traditionally, there are three distinct philosophical stands regarding the biological nature of life: vitalism, mechanism, and organicism.

Essentially, vitalism holds that there exists in all living things an intrinsic factor--elusive, inestimable, and unmeasurable--that activates life. In its classic form, as espoused by many biologists at the turn of the 20th century--in particular, by Hans Driesch, a German biologist and philosopher--it has suffered severe criticism. Ernest Nagel, a philosopher of science, rang its death knell in 1951, when he wrote in Philosophy and Phenomenological Research (11:327 ff.):

 

Vitalism of the substantival type . . . is now a dead issue . . . less, perhaps, because of the methodological and philosophical criticism that has been leveled against the doctrine than because of the infertility of vitalism as a guide in biological research and because of the superior heuristic value of alternative approaches.

And whereas most biologists concur in renouncing this so-called na?e vitalism, some continue to espouse a so-called critical vitalism, perhaps indistinguishable from organicism (see below).

Simply stated, the view of the mechanists is that organisms are no different from subtle machines: the whole is the sum of its parts, which are arranged in such a way that an internal energy source can move them in accordance with a built-in program of purposeful action. In the mechanist's view, advances in molecular biology corroborate this claim and demonstrate that in principle organisms are no more than complicated physical systems. This is, in essence, the reductionist position, which states that biological principles can be reduced to physical and chemical laws. Antireductionists, of course, contend that molecular biology cannot explain all aspects of living forms.

It has often been said that, whereas biologists may think as vitalists--and hold the conviction that organisms are more than just complex machines--they perforce become practicing mechanists in the laboratory, required by the demands of scientific inquiry to view their experiments in terms of the measurable parameters of physics and chemistry. K.F. Schaffner, an American philosopher, suggested in 1967 that, even though reductionism may be correct, a better strategy may be to strive toward an independent biology.

The basic claim of organicism is that organisms must be interpreted as functioning wholes and cannot be understood by means of physics and chemistry alone. Few scientists today call themselves organismic biologists or endorse the doctrines put forward by such organismic theorists as Ludwig von Bertalanffy and Edward Stuart Russell. Nevertheless, most antireductionists subscribe at least to part of the organismic doctrine, in particular to its wholistic claim. Russell, a foremost proponent of organicism, stated in his work The Interpretation of Development and Heredity (1930):

 

Any action of the whole organism would appear then to be susceptible of analysis to an indefinite degree--and this is in general the aim of the physiologist, to analyze, to decompose into their elementary processes the broad activities and functions of the organism. But . . . by such a procedure something is lost, for the action of the whole has a certain unifiedness and completeness which is left out of account in the process of analysis. . . . In our conception of the organism we must . . . take account of the unifiedness and wholeness of its activities . . . since . . . the activities of the organism all have reference to one or other of three great ends, and that both the past and the future enter into their determination. . . . Bio-chemistry studies essentially the conditions of action of cells and organisms, while organismal biology attempts to study the actual modes of action of whole organisms, regarded as conditioned by, but irreducible to, the modes of action of lower unities.

In some special sense, then, an organism is regarded as being more than a simple sum of its parts; an additional "something" has accrued to it as a result of the unique arrangement of its components. As Morton O. Beckner, a philosopher of biology, asserted in an article in The Encyclopedia of Philosophy (5:549):

 

In the history of biology it is difficult to disentangle vitalistic and organismic strands, since both schools are concerned with the same sorts of problems and speak the same sort of language. The distinction between them was drawn clearly only in the twentieth century. Organismic biology may be described as an attempt to achieve the aims of the murky organismic-vitalistic tradition, without appeal to vital entities.

Further (p. 551):

 

Organismic biology is to be interpreted as a series of methodological proposals, based on certain very general features of the organism--namely, the existence in the organism of levels of organization with the biological ends of maintenance and reproduction. These features are sufficient to justify "a free, autonomous biology, with concepts and laws of its own," whether or not the higher levels are ultimately reducible to the lower ones.

 

3.1.2.2.3 Organisms as systems.

The concept of an organism as a cybernetic, or automatic-control, system is currently influential in biology.

The holistic concept of an organism--i.e., the theory that the determining factors in biology are its irreducible wholes--owes its success primarily to the existence of control and regulation mechanisms operating at the molecular level that determine development and behaviour. The character of such systems at all levels of analysis--molecular through total organism--is nothing other than a sophisticated kind of cybernetics. Holism and reductionism are similar in this respect. Closely allied to organicism is the old problem of emergent properties dealt with earlier: at each successive level of organization, qualities emerge that cannot be anticipated by the components and that confer an added dimension to each hierarchical level in the biological world.

A theoretical and methodological program called general systems theory--presented in its fullest and most persuasive form by Bertalanffy--is an extension of the tenets of organismic biology. It is an attempt to provide a common methodological approach for all of the sciences, based upon the idea that systems of any kind--physical, biological, psychological, and social--operate in accordance with the same fundamental principles. Ideally, it should be possible to deduce the principles applying to a particular sort of system from the more general ones. This approach is one still very much in need of development.

Attributions of purpose (teleology) appear frequently in biological writing. Not only do biologists say that parts of organisms have a purpose with respect to the whole, but some hold that life itself is inherently purposive. But the term purpose is both vague and ambiguous. That every biological system--from self-replicating molecules (DNA) to biotic communities--involves specific and identifiable functions is undeniable. But whether, or in what way, functional ends like the reproduction of a cell resemble human intentions or purposes is a matter of some controversy. Even if this matter were settled, a larger question would still remain, viz., whether a biological system as a whole can have a goal that is in some way similar to a human goal--i.e., whether it is programmed with an ultimate purpose. Although resolution of this matter has long been and will continue to be a critical point in the philosophy of biology, much has been done to clarify the issues involved.

3.1.2.3 Philosophy in evolution.

3.1.2.3.1 Teleology and determinism.

Vitalists and those who subscribe to a Lamarckian view of evolution involving the inheritance of acquired characteristics claim that evolution involves a deterministic finalism, or directedness toward an end. Most evolutionists--among them George Gaylord Simpson--reject that claim and hold that natural selection is the non-random element in evolution, that which gives evolution direction. Other evolutionists--among them Theodosius Dobzhansky--argue that the chance factors in mutation and selection, in addition to the unpredictability of environmental change, make it impossible to formulate deterministic laws even in experimental populations, let alone in natural populations. Similar considerations by others have led to the claim that evolutionary biology is a paradigm of an after-the-fact exploratory science and that the course of evolution can never be predicted.

3.1.2.3.2 The species problem.

Whether biological species can be said to have a real existence in the world is a question that has been receiving much consideration. The issue may be posed in the words of Benjamin Burma, a paleontologist, who, writing in Evolution (3:369), asked:

 

What, then, is a species? It would seem thus far to be the whole of any one series of breeding populations. . . . [But the] definition as it stands unfortunately puts all living and fossil animals in one species, since there is a continuity of germ-plasm back from John [an individual animal] to the original primordial cell, and from it forward to every living animal (not to mention plant). Thus, if we ignore time, we end up with only one species. . . .

The temporal difficulty, however, is not the only stumbling block to the question of species reality; for, if the species is redefined as the whole of any one series of breeding populations as it exists at any one time, then there is an infinity of species, since time itself is infinitely divisible. On the basis of these and other objections, some biologists have concluded that species have only a subjective existence merely as convenient labels for arbitrary assemblages and have only a minimum of biological significance. On the other hand, there are proponents of the idea that species have an objective reality. Ernst Mayr, a U.S. evolutionist representing the latter group, has written--also in Evolution (3:372):

 

In all multidimensional situations an inference has to be made (Simpson, 1943) on the basis of the objective species of the non-dimensional system. The subjectivity of this expanded species concept by no means invalidates the species concept per se. The species of the local naturalist or of the paleontologist within a given horizon is clearly delimited against other species and can thus be considered as having objective reality.

Although the controversy is confused by semantic difficulties, one of the chief contributions of the philosophy of biology has, in fact, been to separate mere linguistic puzzles from matters of substance. Many taxonomists are guilty of ambiguity of reference; they often fail to distinguish their entities clearly, with the result that there is widespread befuddlement over just what stand is held by whom. The problems are now clearer than they have ever been, and with few exceptions biologists and philosophers tend to agree about the nature of biological species and the definition of the species category.

 

3.1.2.3.3 Evolutionary theory.

Although most of the issues connected with evolution as a theory are methodological ones, two issues go beyond the limits of logic. Some philosophers have tried to demonstrate, for example, that evolutionary theory is circular and offers no real understanding of the process of evolution. Others have argued that the notions of types of organisms must be used to understand evolution and that evolutionary change takes place when a new type emerges.

Two clear viewpoints regarding evolutionary theory have come to the fore since 1950. One is expressed in detail by George Gaylord Simpson, in his work The Major Features of Evolution (1953), and the other is put forward by a paleontologist, Otto Schindewolf, in his Grundfragen der Pal?ntologie (1950). In 1959, Marjorie Grene, a philosopher of biology, writing in the British Journal of the Philosophy of Science (9:11 ff.), summarized their positions as follows:

 

Professor Simpson is the principal American spokesman of neo-Darwinism. . . . He sees evolution as a continuous series of minute changes in innumerable directions, in which all alterations of any significance, larger as well as smaller, quicker as well as slower, are determined by the great cooperating "pressures" of mutation, geographical isolation, and selection, with adaptation as the universal effect, and criterion, of systematic change. The basic concept, ultimately is variation in the occurrence of genes; out of such variations all the systematic relations of living things have been gradually evolved.

Schindewolf's principles are simpler. He sees typical shapes, and sees again and again what appear to be new shapes. Therefore he assumes that living things are able to originate novel types. Mutation, he agrees, must have been the mechanism by which they originated; but the adaptive control of mutation occurs only within, not between types. The basic pattern is of change from type to type, and always, as we have seen, with the more general appearing before its specialised subdivisions.

The controversy between these two opposing viewpoints is a complex one filled with both philosophical and scientific issues. In the opinion of most biologists, Schindewolf's view is persuasive only with respect to the paleontological evidence and is not supported by the experimental study of evolution in current organisms. Most of them thus tend to accept the synthetic theory in more or less the form expressed by Simpson. It remains possible, however, that the process that Schindewolf is talking about is fundamentally different from that explored in population genetics and that typostrophic mutations are so rare, on the time scale of man, as to be beyond hope of detection in the laboratory.

 

3.1.2.4 Evolution as a world view.

Very few attempts have been made in recent years to employ the concept of evolution as a scheme for viewing all knowledge and experience. Sir Julian Huxley, who remains one of the best representatives of such an effort, continues to claim that the entire universe is in a process of evolution, which, however, has different aspects, viz., physical, biological, and social. Life and nonlife alike must be understood as part of the process of cosmic evolution, and from this follows a host of metaphysical and ethical implications. The other chief representative of this viewpoint is the evolutionist priest Teilhard de Chardin, who has woven into the fabric of cosmic evolution the panoply of a Christocentric religion that sees the perfection of all things in an "Omega" point toward which evolution is moving.

Metaphysics of the more piecemeal kind--exploring the implications that biological knowledge has on beliefs and attitudes--is fostered by Simpson, a consistent antagonist of Huxley and Chardin. Simpson suggests, for instance, that knowledge of man's origins and of the process that has brought him to his current state in no way threatens belief in his own uniqueness. Man is an animal, but a very special sort of animal. Other matters of a similar kind--purpose in nature and man's evolutionary future--are considerations that constitute the implications of biology in general and of evolutionary biology in particular.

 

3.1.2.5 Biology and ethics.

3.1.2.5.1 The question of innate aggressiveness.

One of the best known issues threatening accepted beliefs about moral responsibility is probably that raised by the proponents of the theory of innate aggression, in particular by such spokesmen as Konrad Lorenz, an Austrian student of animal behaviour, and Robert Ardrey, a U.S. writer. If there is an instinct for aggressiveness, then the notion that it is acceptable to blame individuals and society for outbreaks of violence or war loses its validity. The thrust must then be elsewhere: not in faultfinding but in shoring up against what is felt to be pedestrian and inevitable. As Ardrey puts the theory in his African Genesis (1961):

 

But we were born of risen apes, not fallen angels, and the apes were armed killers besides. And so what shall we wonder at? Our murders and massacres and missiles, and our irreconcilable regiments? Or our treaties whatever they may be worth; our symphonies however seldom they may be played; our peaceful acres, however frequently they may be converted into battlefields; our dreams however rarely they may be accomplished. The miracle of man is not how far he has sunk but how magnificently he has risen. We are known among the stars by our poems, not our corpses.

Raymond Dart, a South African anatomist and anthropologist, in an article entitled "The Predatory Transition from Ape to Man," published in the International Anthropological and Linguistic Review (1:201-208), expressed the thesis of innate depravity on which Ardrey's more popular presentation is based.

Another aspect of the innate aggression inherited from man's primate forebears is militant enthusiasm, which Lorenz described in Das sogenanannte B?e: zur Naturgeschichte der Aggression (1963; Eng. trans., On Aggression, 1966):

 

In reality, militant enthusiasm is a specialized form of communal aggression, clearly distinct from and yet functionally related to the more primitive forms of petty individual aggression. Every man of normally strong emotions knows, from his own experience, the subjective phenomena that go hand in hand with the response of militant enthusiasm. A shiver runs down the back and, as more exact observation shows, along the outside of both arms. One soars elated, above all the ties of everyday life, one is ready to abandon all for the call of what, in the moment of this specific emotion, seems to be a sacred duty. All obstacles in its path become unimportant; the instinctive inhibitions against hurting or killing one's fellows lose, unfortunately, much of their power. Rational considerations, criticism, and all reasonable arguments against the behavior dictated by militant enthusiasm are silenced by an amazing reversal of all values, making them appear not only untenable but base and dishonorable. Men may enjoy the feeling of absolute righteousness even while they commit atrocities. Conceptual thought and moral responsibility are at their lowest ebb. As a Ukrainian proverb says: "When the banner is unfurled, all reason is in the trumpet."

Equally notable opponents of the theory of innate aggression see it much as M.F. Ashley Montagu, a British-U.S. anthropologist, does, as "original sin revisited," and deplore the tendency to neglect authoritative studies in favour of simplistic popularization. In Man and Aggression (1968), he writes:

 

While the findings of these disciplines [anthropology and the behavioral sciences] are wholly opposed to the deeply entrenched view that man is an innately aggressive creature, most people tend to dismiss these findings out of hand or ridicule them as a rather eccentric idealistic heterodoxy, which do not deserve to become generally known. In preference to examining the scientific findings they choose to cast their lot with such "authorities" as William Golding who, in his novel Lord of the Flies, offers a colorful account of the allegedly innate nastiness of human nature, and Robert Ardrey who, in African Genesis and more recently in The Territorial Imperative, similarly seeks to show that man is an innately aggressive creature. . . .

. . . when through the distorting glass of his prejudgments he looks at a tool it becomes not simply a scraper but a weapon, a knife becomes a dagger, and even a large canine tooth becomes "the natural dagger that is the hallmark of all hunting animals," while in "the armed hunting primate" it becomes "a redundant instrument." "With the advent of the lethal weapon natural selection turned from the armament of the jaw to the armament of the hand." But the teeth are no more an armament than is the hand, and it is entirely to beg the question to call them so. Virtually all the members of the order of primates, other than man, have large canine teeth, and these animals, with the exception of the baboons, are predominantly vegetarians, . . . that such teeth may, on occasion, serve a protective purpose is entirely secondary to their main function, which is to rip and shred the hard outer coverings of plant foods.

Further responses to Ardrey's and Lorenz' thesis are the interpretations of field studies of primate groups, such as those on the gorilla, chimpanzee, and orangutan. These researches suggest that the majority of such groups are singularly free of belligerence. According to Montagu,

 

The myth of the ferocity of "wild animals" constitutes one of Western man's supreme rationalizations, for it not only has served to "explain" to him the origins of his own aggressiveness, but also to relieve him of the responsibility for it--for since it is "innate," derived from his early apelike ancestors, he can hardly, so he rationalizes, be blamed for it! And some have gone so far as to add that nothing can be done about it, and that therefore wars and juvenile delinquents, as Mr. Ardrey among others tells us, will always be with us! From one not-so-minor error to another Mr. Ardrey sweeps on to the grand fallacy.

The matter remains moot; but there appears to be a growing consensus that, given a certain genetic constitution--and within the bounds of that endowment--whatever man is, he learns to be, especially in respect to values, morality, and customs. Baser appetitive needs, however, may have a genetic component that is greater than an environmental one.

New understanding of environmental factors and the consequences of man's actions with respect to them has made it clear that man has acquired responsibilities that he did not recognize before. It has become increasingly accepted that standards and values with respect to the environment must be established; this is perhaps the most dramatic case in which recent biological knowledge has generated a crisis of a moral kind. The classic work Science and Survival (1966) by a biologist, Barry Commoner, is particularly noteworthy in connecting theoretical and philosophical issues about reductionism and holism to practical matters of environmental understanding and problem solving.

The metaphysical issue of man's place in nature is now being construed as one that requires that man make value decisions, assign responsibilities, and plan for the future of his planet. Environmental problems have become intertwined with problems of social planning, racial tension, transportation and housing crises, genetic engineering, and a host of other current concerns.

3.1.2.5.2 Evolutionary ethics.

The question of whether nature provides guides to the actions of humankind has held a fascination for many biologists. Those who call themselves evolutionary ethicists say that it does. The defenders of evolutionary ethics contend that external moral standards exist in the facts and process of evolution.

Toward the end of the 19th century, Herbert Spencer, in England, and others advanced a series of principles that came to be called Social Darwinism. It espoused such ideas as the inevitability of progress, survival of the fittest, and the struggle for existence, expressions that have become bywords although they have since been discredited in their original sense, as applied to social phenomena. Social Darwinism, as C.H. Waddington, a biologist, explains in his book The Ethical Animal (1960, has been superseded by (see also ethics)

 

. . . the more recent phase of evolutionary ethical thought beginning in the early 1940s, [which] comprises a number of rather different methods of approach. At one extreme we have discussions framed in terms of extremely wide scope, which treat of evolution not only in the animal world but throughout the cosmos, and attempt to relate such broad concepts to man's religious and spiritual life. The pre-eminent example of this tendency in recent years is Teilhard de Chardin, but a rather similar approach can be found in the works of several biologists, such as Conklin, Holmes, and Huxley. The opposite tendency, which of course is also found expressed to various extents in these authors, particularly in Julian Huxley, is the attempt to demonstrate, in a logically coherent argument, a real connection between evolutionary processes and man's ethical feelings.

Some biologists continue to insist, therefore, that biological facts can provide a yardstick by which to measure the morality of a given course of action. Julian Huxley, for one, has long claimed that moral principles can be found in nature and in the evolutionary process in particular:

 

When we look at evolution as a whole, we find, among the many directions which it has taken, one which is characterized by introducing the evolving world-stuff to progressively higher levels of organization and so to new possibilities of being, action, and experience. This direction has culminated in the attainment of a state where the world-stuff (now moulded into human shape) finds that it experiences some of the new possibilities as having value in or for themselves; and further that among these it assigns higher and lower degrees of value, the higher values being those which are more intrinsically or more permanently satisfying, or involve a greater degree of perfection.

Huxley further asserts that, although the Golden Rule, the policy of action based on sympathy--doing as one would be done to by others--may be an immediate good, it ultimately leads to the suppression of those qualities most needed for survival and the continuation of a species. Rather, he argues:

 

The facts of nature, as demonstrated in evolution, give us assurance that knowledge, love, beauty, selfless morality, and firm purpose are ethically good. . . . In the broadest possible terms evolutionary ethics must be based on a combination of a few main principles: that it is right to realize ever new possibilities in evolution, notably those which are valued for their own sake; that it is right both to respect human individuality and to encourage its fullest development; that it is right to construct a mechanism for further social evolution which shall satisfy these prior conditions as fully, efficiently, and as rapidly as possible.

 

Simpson, however, contends, in the article "Biological Sciences," in The Great Ideas Today (1965):

 

The facts and the processes of evolution are neither ethical nor unethical. The questions of good or bad are simply irrelevant to this field, with the important reservation that evolution has produced a species, Homo sapiens, concerned with ethics. Denial of man's naturalistic origin and animal nature is flatly false, and any ethic based on such denial is invalid. Evolution controverts primitive creation myths, but it is consistent with higher values in the Judeo-Christian tradition and those in most now-current religions and philosophical systems. One need only think of the brotherhood of mankind--a biological fact, not only an ethical idea.

Beyond such considerations as those, efforts to combine science and religion may be noble in intention but usually end up distorting or stultifying both. One of the most striking examples at present is the cult, as it may fairly be called, of Pierre Teilhard de Chardin. He preaches--necessarily posthumously, for the Roman Catholic Church suppressed his views during his life--a mystical Christianity ostensibly derived from evolutionary principles. But since the mysticism is primary, the evolutionary principles are distorted and downright falsified for seeming coherence with the nonscientific, nonnaturalistic premises. In turn, the mystical views advanced as having that false basis are thereby vitiated. The result (in my opinion) has been a disservice to true religion and to true science.

At the same time, no one can deny the purity of Father Teilhard's intentions or the correctness of his view that evolution and religious feeling should be considered congruent aspects of the nature of man. It is almost as irrational to deny evolution as to deny gravity. The management of life and the goals of aspiration, to be sane, must take account of all such truths of nature. They need not thereby become brutal or earthbound.

(J.R.Mn./ R.C.Y.)

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