Abstract: This article is devoted to systematic studies of some extensions of first-order Gödel logic. The first extension is first-order rational Gödel logic which is an extension of first-order ...

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 ...

The solution grew out of his work on related questions in the general field of mathematical logic. His invitation to speak at the Institute came from Professor Kurt Godel whose work in 1931 led to ...

In proof theory, a discipline within mathematical logic, double-negation translation, sometimes called negative translation, is a general approach for embedding classical logic into intuitionistic ...

“Godel’s achievement in modern logic is singular and monumental – indeed it is more than a monument, it is a landmark which will remain visible far in space and time.” From our morning ...

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Abstract: We provide a constructive, direct and simple proof of the completeness of the cut-free part of the hypersequential calculus HG for Gödel logic (thereby proving both completeness of the ...

Although little known, it is a landmark of 20th-century thought. The proof brought to light certain astonishing limitations which have always been inherent in mathematics and mathematical logic ...

From classical logic, the course deals with propositional and first-order inference from both semantic and axiomatic viewpoints, with also some material on first-order theories including celebrated ...

Using a unique pedagogical approach, this text introduces mathematical logic by guiding students in implementing the underlying logical concepts and mathematical proofs via Python programming. This ...

This course is available on the MPhil/PhD in Philosophy of the Social Sciences, MSc in Economics and Philosophy, MSc in Philosophy of Science and MSc in Philosophy of the Social Sciences. This course ...