Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint) - Brossura

Cantone, D.

 
9781334016745: Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint)

Sinossi

This book presents a novel and effective technique for reducing Hilbert's tenth problem to decidable classes of set theory. The tenth problem concerns polynomial Diophantine equations, that is, whether or not they have integer solutions. The author demonstrates the unsolvability of the problem by providing a transformation that associates polynomial equations with unsatisfiable formulas in elementary set theory. By reducing Hilbert's problem to set theory in this way, the author provides a new perspective on the problem and its implications for the foundations of mathematics.

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9780267458554: Set-Theoretic Reductions of Hilbert's Tenth Problem (Classic Reprint)

Edizione in evidenza

ISBN 10:  026745855X ISBN 13:  9780267458554
Casa editrice: Forgotten Books, 2018
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