The Reasons Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics Bob Hale

ISBN: 9780198236399

Published: June 21st 2001

Hardcover

455 pages


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The Reasons Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics  by  Bob Hale

The Reasons Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics by Bob Hale
June 21st 2001 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 455 pages | ISBN: 9780198236399 | 6.35 Mb

The authors of this work draw together the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics. The two main components in Freges mathematical philosophy were his platonism and hisMoreThe authors of this work draw together the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics.

The two main components in Freges mathematical philosophy were his platonism and his logicism - the claims, respectively, that mathematics is a body of knowledge about independently existing objects, and that this knowledge may be acquired on the basis of general logical laws and suitable definitions. The central thesis of this collection is that Frege was - his own eventual recantation notwithstanding - substantially right in both claims. Where neo-Fregeanism principally differs from Frege is in taking a more optimistic view of the kind of contextual explanation (proceeding via what are now commonly called abstraction principles) of the fundamental concepts of arithmetic and analysis which Frege considered and rejected.

On this basis, neo-Fregeanism promises defensible and attractive answers to some of the most important ontological and epistemological questions in the philosophy of mathematics.



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