Internal Logic: Foundations of Mathematics from Kronecker to Hilbert Y. Gauthier

ISBN: 9789048160525

Published: December 9th 2010

Paperback

251 pages


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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert  by  Y. Gauthier

Internal Logic: Foundations of Mathematics from Kronecker to Hilbert by Y. Gauthier
December 9th 2010 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 251 pages | ISBN: 9789048160525 | 9.25 Mb

Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kroneckers general arithmetic of forms (polynomials) together with Fermats infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kroneckers work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics.

It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.



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