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Gentzen's consistency proof
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Gentzen's consistency proof is a result of proof theory in mathematical logic, published by Gerhard Gentzen in 1936. It shows that the Peano axioms of1943 in philosophy (93 words) [view diff] case mismatch in snippet view article find links to article
Scholl (born 1921) August 24 - Simone Weil (born 1909) Zach, Richard. "Hilbert's Program". The Stanford Encyclopedia of Philosophy (SEP). Retrieved 19 FebruaryRichard Zach (384 words) [view diff] exact match in snippet view article find links to article
development. In the philosophy of mathematics Zach has worked on Hilbert's program and the philosophical relevance of proof theory. In mathematical logicHilbert's second problem (1,500 words) [view diff] case mismatch in snippet view article find links to article
ISBN 0-7695-2631-4. Detlefsen, Michael (1990). "On an alleged refutation of Hilbert's Program using Gödel's First Incompleteness Theorem". Journal of PhilosophicalHilbert's ninth problem (251 words) [view diff] exact match in snippet view article find links to article
this led to the development of the class field theory, realizing Hilbert's program in an abstract fashion. Certain explicit formulas for norm residuesPaul Lorenzen (584 words) [view diff] exact match in snippet view article find links to article
also on Gerhard Gentzen's cut elimination to find a way to continue Hilbert's program after the results of Gödel. In the theory of geometry and physicsThe Ancient Tradition of Geometric Problems (823 words) [view diff] exact match in snippet view article find links to article
foundational crisis of mathematics of the early 20th century, in which David Hilbert's program of reducing mathematics to a system of axioms and calculational rulesSteve Simpson (mathematician) (481 words) [view diff] case mismatch in snippet view article
MR 0753869. Simpson, Stephen G. (1988), "Partial realizations of Hilbert's Program", Journal of Symbolic Logic, 53 (2): 349–363, doi:10.2307/2274508Michael Detlefsen (692 words) [view diff] case mismatch in snippet view article find links to article
University of Notre Dame and the Paris Diderot University) from 2010. Hilbert's Program: An Essay on Mathematical Instrumentalism, vol. 182 of the SyntheseJohn Penn Mayberry (4,580 words) [view diff] exact match in snippet view article find links to article
the very heart of their thinking. The Formalist movement, following Hilbert's program of saving the mathematical fruits of Cantor's Axiom of Infinity viaList of agnostics (34,719 words) [view diff] exact match in snippet view article find links to article
consistency proofs." David Hilbert, Die Grundlagen der Mathematik, Hilbert's program, 22C:096, University of Iowa. "Also, when someone blamed Galileo forTilman Sauer (1,748 words) [view diff] exact match in snippet view article find links to article
early history of GR and the Hilbert-Einstein priority dispute and Hilbert's program on the foundations of physics. The priority dispute is, among otherThe MANIAC (2,451 words) [view diff] exact match in snippet view article find links to article
Gábor Szegő. It climaxes with von Neumann's participation in David Hilbert's program to create a logical basis for mathematics based on a consistent set