The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of ...

This paper concerns modal logics of provability -- Gödel-Löb system GL and Solovay logic S -- the smallest and the greatest representation of arithmetical theories in propositional logic respectively.

We often express our thoughts in words to communicate ideas, present arguments or make decisions. But what format and structure do these thoughts take in the brain? In the fields of philosophy, ...

We all have the habit of trying to guess the killer in a movie before the big reveal. That’s us making inferences. It’s what happens when your brain connects the dots without being told everything ...

Can a monkey, a pigeon or a fish reason like a person? It's a question scientists have been testing in increasingly creative ways—and what we've found so far paints a more complicated picture than you ...