Mathematics, Time, and Confirmation
Dissertation, Massachusetts Institute of Technology (
2001)
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Abstract
role in scientific theories, and their relation to time. ;Chapter 1, "Why Apply Mathematics?" argues that scientific theories are not about the mathematics that is applied in them, and defends this thesis against the Quine-Putnam Indispensability Argument. ;Chapter 2, "Scientific Ontology," is a critical study of W. V. Quine's claim that metaphysics and mathematics are epistemologically on a par with natural science. It is argued that Quine's view relies on a unacceptable account of empirical confirmation. ;Chapter 3, "Prior and the Platonist," demonstrates the incompatibility of two popular views about time: the "Platonist" thesis that some objects exist "outside" time, and A. N. Prior's proposal for treating tense on the model of modality. ;Chapter 4, "What has Eternity Ever Done for You?" argues time), and presents a defense of the rival view that they exist sempiternally