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relative consistency
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Equiconsistency
Given this, instead of outright consistency, one usually considers relative consistency: Let S and T be formal theories. Assume that S is a consistent theory.
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Axiomatic system - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Axiomatic_system
Beyond consistency, relative consistency is also the mark of a worthwhile axiom system. This is when the undefined terms of a first axiom system are provided ... |
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The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF. The proof builds upon a previous mechaniza- tion of the ...
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The Relative Consistency of the. Axiom of Choice. Mechanized Using Isabelle/ZF . Lawrence C. Paulson. Computer Laboratory ...
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The proof of the relative consistency of ¬AC is harder. We shall illustrate the technique by showing the relative consistency of mainly ¬CH. One begins with a ...
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THE JOURNAL OF SYMBOLIC LOGIC. Volume 18, Number 2, June 1953. SOME FORMAL RELATIVE CONSISTENCY PROOFS. ROBERT MCNAUGHTON. 1.
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A RELATIVE CONSISTENCY PROOF1. JOSEPH R. SHOENFIELD. 1. Introduction. Let C be an axiom system formalized within the first order functional calculus, ...
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Jul 15, 2002 ... Relative consistency. When we cannot prove a theory consistent, we can often show that it is consistent provided some other theory, e.g. Peano ...
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Relative Consistency and Accesible Domains. Wilfried Sieg. Carnegie Mellon University. This Technical Report is brought to you for free and open access by the ...
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Lecture 9: Relative Consistency I. February 16, 2009. 7 The Axiom of Regularity. Remark. We will now move more towards logic. We want to be able to show ...
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relative consistency
