Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to ...

A few years later, but independently, the Italian mathematician Giuseppe Peano also invented a version of predicate logic. Our course also will pay some attention to the relevance of symbolic logic to ...

Logic is an ancient discipline that has undergone striking modern developments through the introduction of rigorous formal methods, stimulated largely by foundational problems in mathematics.

A new formalism for predicate logic is introduced, with a non-standard method of binding variables, which allows a compositional formalization of certain anaphoric constructions, including 'donkey ...

From logic, it covers the basic metatheory of sentential and first-order predicate logic (up to the completeness theorems), continues with Gödel's famous incompleteness theorems concerning the ...

Modern mathematics is built on set theory, itself a logical system. Logic provides the structure and principles underpinning mathematical reasoning.

For thousands of years, mathematicians have adapted to the latest advances in logic and reasoning. Are they ready for artificial intelligence?

What's the secret to winning arguments in a world of divisive politics? According to the author of The Art of Logic in an Illogical World, the answer is math.

Mathematical Logic and Truth Theories Publication Trend The graph below shows the total number of publications each year in Mathematical Logic and Truth Theories.