Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

It might come as a surprise to some people that this prediction hasn’t already come to pass. Given that mathematics is a subject of logic and precision, it would seem to be perfect territory for ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...

Students who made math history when they were in high school have now published new ways of proving the Pythagorean Theorem using trigonometry.

This study aims to investigate a construct of reading comprehension of geometry proof (RCGP). The research aims to investigate (a) the facets composing RCGP, and (b) the structure of these facets.

The goal of geometry ought to be to develop logic and the idea of proof — that is, presenting statements to show a mathematical argument is true. Here, however, an answer is declared without ...

The logic of God: Why metaphysical proofs still matter by Matthew Levering in the April 27, 2016 issue Illustration from God In Proof, by Nathan Schneider, used by permission ...