ISBN:
9789401700832
Language:
English
Pages:
Online-Ressource (X, 251 p)
,
digital
Edition:
Springer eBook Collection. Humanities, Social Sciences and Law
Series Statement:
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 310
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Keywords:
Science Philosophy
;
Logic, Symbolic and mathematical
;
Philosophy and science.
;
Mathematics
;
Logic
;
Mathematical logic.
;
Science—Philosophy.
;
Arithmetik
;
Logischer Schluss
Abstract:
Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's 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 Kronecker's 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
DOI:
10.1007/978-94-017-0083-2
URL:
Volltext
(lizenzpflichtig)
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