Wittgenstein, Finitism, and the Foundations of Mathematics [Hardcover]

This pioneering book demonstrates the crucial importance of Wittgenstein's philosophy of mathematics to his philosophy as a whole. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between theTractatusand theInvestigations.

1. Wittgenstein's Anti-Platonism
2. Logicism without Classes
3. Arbitrary Functions
4. Quantification and Finitism
5. From Truth-Functional Logic to a Logic of Equations
6. Philosophy and Logical Foundations
7. The Continuum
8. Strict Finitism
Bibliography
Index