This book espouses an innovative theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws (...) of nature, causation, and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians, and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science. (shrink)

Eminent Harvard astrophysicist David Layzer offers readers a unified theory of natural order and its origins, from the permanence, stability, and orderliness of sub-atomic particles to the evolution of the human mind. Cosmogenesis provides the first extended account of a controversial theorythat connects quantum mechanics with the second law of thermodynamics, and presents novel resolutions of longstanding paradoxes in these theories, such as those of Schroedinger's cat and the arrow of time. Layzer's main concerns in the second half of the (...) book are with the philosophical issuessurrounding science. He develops a highly original reconciliation of the conflict between traditional scientific determinism and the intuitive notion of individual freedom. He argues that although the elementary processes underlying biological evolution and human development are governed byphysical laws, they are nevertheless genuinely creative and unpredictable. (shrink)

Those who think of some aspects of the world as "physically necessary" usually think of this kind of necessity as being confined to the general law of nature, initial conditions being "contingent." Tachyon theory and general relativity provide independent but related reasons for thinking that some initial states are, however, "impossible." And statistical mechanics seems to lead us to conclude that some initial conditions are, if not impossible, "highly improbable." We are then, led from these aspects of physics to wonder (...) if initial conditions are always "freely specifiable" and in the domain of physical contingency. (shrink)

Physicists often allow the "laws" of a discipline, formulated as partial differential equations, to be disobeyed along various surfaces, arrayed along the boundary and inside the medium under study. What kinds of considerations permit these lapses in the applicability of the equations? This paper surveys a variety of answers found in the physical literature.