JP Journal of Algebra, Number Theory and Applications
Volume 47, Issue 2, Pages 217 - 233
(August 2020) http://dx.doi.org/10.17654/NT047020217 |
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DIAGONALIZATION EXHIBITED IN THE LIAR PARADOX, RUSSELL’S PARADOX AND GÖDEL’S INCOMPLETENESS THEOREM
Tarek Sayed Ahmed and Omar Ossman
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Abstract: By formulating a property on a class of relations on the set of natural numbers, we make an attempt to provide an alternative proof to the insolvability of Hilbert’s tenth problem, Gödel’s incompleteness theorem, Tarski’s definability theorem and Turing’s halting problem. |
Keywords and phrases: Gödel’s incompleteness theorem, Hilbert’s tenth problem.
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