Wittgenstein, Finitism, and the Foundations of Mathematics

NOTE EDITORE

Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. 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 the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.

SOMMARIO

1 - Wittgenstein's Anti-Platonism2 - Logicism without Classes3 - Arbitrary Functions4 - Quantification and Finitism5 - From Truth-Functional Logic to a Logic of Equations6 - Philosophy and Logical Foundations7 - The Continuum8 - Strict Finitism

AUTORE

Mathieu Marion holds the Canada Research Chair in Philosophy of Logic and Mathematics at the University of Quebec, Montreal.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780199550470
• Dimensioni: 215 x 17.0 x 138 mm Ø 360 gr
• Formato: Brossura
• Pagine Arabe: 282