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Logic of Arithmetic (Lectures on Mathematical Logic) [Hardcover]

By Walter Felscher (Author)
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Item description for Logic of Arithmetic (Lectures on Mathematical Logic) by Walter Felscher...

For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulas. This volume begins with a method to decide this for the quantified formulas of those fragments of arithmetic which express the properties of order-plus-successor and of order-plus-addition (Presburger arithmetic); it makes use of an algorithm eliminating quantifiers which, in turn, is also applied to obtain consistency proofs for these fragments. Stronger fragments of arithmetic, also containing multiplication, are sufficiently rich to express a primitive recursive encoding of terms, formulas and deductions, and this leads to Godel's theorem exhibiting statements already undecidable in these fragments. Its central idea, isolated in Tarski's fixpoint lemma, has a certain analogy with Eubulides' antinomy of the Liar, and in a non-technical chapter, accessible to a wider class of readers, this analogy is exploited for an informal discussion of undefinability and incompleteness. The technical

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Item Specifications...

Studio: CRC Press
Pages   312
Est. Packaging Dimensions:   Length: 9.5" Width: 6.2" Height: 0.99"
Weight:   1.49 lbs.
Binding  Hardcover
Release Date   May 30, 2000
Publisher   CRC
ISBN  9056992686  
ISBN13  9789056992682  

Availability  0 units.

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1Books > Subjects > Medicine > Basic Science > Anatomy
2Books > Subjects > Professional & Technical > Medical > Basic Sciences > Anatomy
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Logic
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Set Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Popular & Elementary > Arithmetic
8Books > Subjects > Science > Mathematics > Pure Mathematics > Logic
9Books > Subjects > Science > Mathematics > Pure Mathematics > Set Theory

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