In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional “spacetime” interpretation of the theory. Einstein initially dismissed Minkowski’s theory, remarking that “since the mathematicians have invaded the theory of relativity I do not understand it myself anymore.” Yet Minkowski’s theory soon found wide acceptance among physicists, including eventually Einstein himself, whose conversion to Minkowski’s way of thinking was engendered by the realization that he could profitably employ it for the (...) formulation of his new theory of gravity. The validity of Minkowski’s mathematical “merging” of space and time has rarely been questioned by either physicists or philosophers since Einstein incorporated it into his theory of gravity. Physicists often employ Minkowski spacetime with little regard to the whether it provides a true account of the physical world as opposed to a useful mathematical tool in the theory of relativity. Philosophers sometimes treat the philosophy of space and time as if it were a mere appendix to Minkowski’s theory. In this critical study, Joseph Cosgrove subjects the concept of spacetime to a comprehensive examination and concludes that Einstein’s initial assessment of Minkowksi was essentially correct. (shrink)

Life increasingly is understood in terms of information. I consider two attempts to formulate life in terms of mathematical information theory. G. J. Chaitin proposes to define life in terms of the relation between order and algorithmic compressibility in biological information. More recently, William Dembski, Winston Ewart, and Robert J. Mark’s suggest that Dembski’s notion of specified complexity can be mathematically expressed in information-theoretic terms through the concept of algorithmic specified complexity. The mathematical approaches are similar and in both cases (...) essentially dependent on the concept of randomness deficiency in algorithmic information theory: to subtract out the degree of randomness from an informational measure, yielding a remainder of organization (Chatin) or specified complexity (Dembski, Ewart, and Marks). I argue that these attempts must fail due the information-theoretic indistinguishability of organization and randomness. The failure is instructive, however, because it illustrates the inability of mathematical information theory to register biological organization. (shrink)

Simone Weil is widely recognized today as one of the profound religious thinkers of the twentieth century. Yet while her interpretation of natural science is critical to Weil's overall understanding of religious faith, her writings on science have received little attention compared with her more overtly theological writings. The present essay, which builds on Vance Morgan's Weaving the World: Simone Weil on Science, Necessity, and Love (2005), critically examines Weil's interpretation of the history of science. Weil believed that mathematical science, (...) for the ancient Pythagoreans a mystical expression of the love of God, had in the modern period degenerated into a kind of reification of method that confuses the means of representing nature with nature itself. Beginning with classical (Newtonian) science's representation of nature as a machine, and even more so with the subsequent assimilation of symbolic algebra as the principal language of mathematical physics, modern science according to Weil trades genuine insight into the order of the world for symbolic manipulation yielding mere predictive success and technological domination of nature. I show that Weil's expressed desire to revive a Pythagorean scientific approach, inspired by the "mysterious complicity" in nature between brute necessity and love, must be recast in view of the intrinsically symbolic character of modern mathematical science. I argue further that a genuinely mystical attitude toward nature is nascent within symbolic mathematical science itself. (shrink)

The philosophy of physics literature contains conflicting claims on the heuristic significance of general covariance. Some authors maintain that Einstein's general relativity distinguishes itself from other theories in that it must be generally covariant, for example, while others argue that general covariance is a physically vacuous and trivial requirement applicable to virtually any theory. Moreover, when general covariance is invested with heuristic significance, that significance as a rule is assigned to so-called “active” general covariance, underwritten by the principle of background (...) independence, rather than to general covriance as Einstein understood it. While agreeing with the latter group of commentators that general covariance indeed carries heuristic significance, I argue that a background independent theory need not be generally covariant and that instead the Principle of Equivalence as Einstein understood it provides the key to understanding the heuristic power of general covariance as a “mathematical sieve” for determining the gravitational field law. However, heuristic significance accrues to general covariance only indirectly, by its encompassing the relativity of frames underwritten by Einstein's principle of equivalence. (shrink)

The tension between beauty and technology is evinced in the modern distinction within technē itself between technology and “fine art.” Yet while beauty,as Kant observes, is never a means to an end, neither is it an “end in itself.” Beauty points beyond itself while refusing subordination to human interests. Both its noninstrumentality and its self-transcending character I trace to the intrinsic necessity of the beautiful, which is essentially impersonal while paradoxically being an object of love. I suggest that we conceive (...) of beauty as an “anonymous voice,” and I relate the latter to Heidegger’s critique of modern technology as a projection upon nature of “resource being.” I conclude that technology can be creative rather than destructive of beauty when it lets natural ends, which are inescapably in conflict with one another, transcend themselves through self-sacrifice. (shrink)

This paper interprets Descartes' conception of "certainty" as most fundamentally a function of the human will, controlling the cognitive encounter with the world.

The goal of the modern scientific project, as defined by such thinkers as Descartes and Bacon, is "mastery of nature." Martin Heidegger, in an interpretation of mastery of nature that has left its imprint on post-modern critique of science, maintains that the essence of modern science lies in a projection of "technological being" upon nature. This projective "assault" has its origin in the "self-grounding" project of modern metaphysics, in which the human subject attempts to secure a self-sufficient position over against (...) all possible objects. ;The dissertation examines Heidegger's "technological thesis" from the vantage point of the history and philosophy of science. Adopting the vis viva debate between Leibniz and the Cartesians as a point of departure, it identifies and develops, historically and systematically, two themes upon which hinges the question of the technological essence of modern science and its relationship to the "self-grounding" project: the "rationalism" of modern science, and modern science's view of natural teleology. The main argument of the dissertation is that examination of the relationship between these two themes reveals the "teleology of reason" in modern science. ;Chapter's One and Two focus on Leibniz' disagreement with Descartes over the ontology of corporeal substance. From that discussion emerge our two metaphysical themes, which are addressed in Chapter's Three and Four respectively. On the basis of the results of those chapters it is argued that the problem of "mastery of nature" resides in a clash, indigenous to reason, between the intrinsic teleology of nature, through which nature is rendered intelligible to reason, and the teleology of reason itself, which is freedom. ;The conclusion shows that Heidegger ignores tendencies within science, and within the very self-grounding project itself, which run counter to his pessimistic portrayal of science as an "assault" upon nature. Finally, the prospect for a non-coercive resolution to the clash of teleologies in modern science through the "ravishing of nature" is considered. (shrink)