Foundations of Mathematics in the Twentieth Century

Mathematical practice and logic and foundations indicate that mathematics is the art, rather than the science, of constructing deductive theories. A brief history of mathematics in the twentieth-century is offered.

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Veröffentlicht in:The American mathematical monthly 2001-05, Vol.108 (5), p.449-468
Hauptverfasser: Marek, V. Wiktor, Mycielski, Jan
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container_title The American mathematical monthly
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creator Marek, V. Wiktor
Mycielski, Jan
description Mathematical practice and logic and foundations indicate that mathematics is the art, rather than the science, of constructing deductive theories. A brief history of mathematics in the twentieth-century is offered.
doi_str_mv 10.1080/00029890.2001.11919775
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ispartof The American mathematical monthly, 2001-05, Vol.108 (5), p.449-468
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source Jstor Complete Legacy; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; JSTOR Mathematics & Statistics
subjects Academic Achievement
Axioms
History
Logic
Logical theorems
Logical Thinking
Mathematical functions
Mathematical Logic
Mathematical set theory
Mathematical sets
Mathematical theorems
Mathematics
Numbers
The Evolution of
Theory
Turing machines
Zermelo Frankel set theory
title Foundations of Mathematics in the Twentieth Century
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