Moldoveanu, M. C., and H. H. Stevenson. "Hard Problems, Godel's Theorem, Dostoyevsky's Devil, and Idiopathic Neuroses: Reflections on the Structure of Theories of ...

Kurt Gödel's incompleteness theorems of 1931 are among the most iconic scientific achievements of the 20th century. Gödel's results led to the development of formal languages and algorithmic ...

In 1931 century Kurt Godel published a startling discovery in mathematics with wide implications for our theories of ...

Maths is meant to be certain, either right or wrong. Turns out, it's not that simple. For Gödel's theorem has proved that there are "undecidable" theories, which one can neither prove nor disprove.

If by 'great' we mean 'heroic', then Andrew Wiles' proof of Fermat's Theorem deserves mention. But for sheer intellectual surprise, and alarming insight, it is hard to think of any result that ...

Topics include propositional logic, boolean algebras and rings, first-order logic and systems of deduction. Time permitting, we will touch on Tarski's notion of model, and the completeness and ...

While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a ...

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PAKHOMOV, FEDOR and WALSH, JAMES 2021. REFLECTION RANKS AND ORDINAL ANALYSIS. The Journal of Symbolic Logic, Vol. 86, Issue. 4, p. 1350. CHENG, YONG 2021. CURRENT ...