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The Monist

Volume 83, Issue 2, April 2000
Applying Mathematics

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1. The Monist: Volume > 83 > Issue: 2
Frank Arntzenius Are There Really Instantaneous Velocities?
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Zeno argued that since at any instant an arrow does not change its location, the arrow does not move at any time, and hence motion is impossible. I discuss the following three views that one could take in view of Zeno's argument:(i) the "at-at" theory, according to which there is no such thing as instantaneous velocity, while motion in the sense of the occupation of different locations at different times is possible,(ii) the "impetus" theory, according to which instantaneous velocities do exist but these are only contingently and causally related to the temporal developments of positions,(iii) the "no instants" theory, according to which instants in time do not exist, and hence instantaneous velocities do not exist, while motion, in the sense of different areas occupied during different time intervals, is possible.I argue that, despite the fact that there have been interesting and relevant developments in mathematics and physics since the time of Zeno, each of these views still has serious drawbacks.
2. The Monist: Volume > 83 > Issue: 2
Jody Azzouni Applying Mathematics: An Attempt to Design a Philosophical Problem
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3. The Monist: Volume > 83 > Issue: 2
Robert W. Batterman A ‘Modern’ (=Victorian?) Attitude Towards Scientific Understanding
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4. The Monist: Volume > 83 > Issue: 2
Lawrence Sklar Topology Versus Measure in Statistical Mechanics
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5. The Monist: Volume > 83 > Issue: 2
Sheldon R. Smith Resolving Russell’s Anti-Realism About Causation: The Connection Between Causation and the Functional Dependencies of Mathematical Physics
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In "On the Notion of Cause," Bertrand Russell expressed an eliminativist view about causation driven by an examination of the contents of mathematical physics. Russell's primary reason for thinking that the notion of causation is absent in physics was that laws of nature are mere "functional dependencies" and not "causal laws." In this paper, I show that several ordinary notions of causation can be found within the functional dependencies of physics. Not only does this show that Russell's eliminitivism was misguided, but it shows that Russell's opponents, such as Nancy Cartwright, who think that mere functional dependenciescannot capture causal claims, also underestimate the causal content of such equations.
6. The Monist: Volume > 83 > Issue: 2
Mark Wilson The Unreasonable Uncooperativeness of Mathematics in The Natural Sciences
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7. The Monist: Volume > 83 > Issue: 2
Books Received
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