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 ...

Inspired by Curry’s observation, the mathematical logician William Alvin Howard discovered a deeper link between computation and logic in 1969, showing that running a computer program is a lot like ...

These are not biologists, climatologists or physicists. They don’t come from a field in which empirical models get a say in determining what counts as true. Instead they are mathematicians, ...

DETAILED COURSE TOPICS: All sections will deal with topics from Part I (Proofs and Mathematical Preliminaries), as well as a selection of topics from Parts II-IV. Part I: Proofs, and Mathematical ...

The ontological proof for the existence of God (really "proofs" or perhaps "arguments," as there are various versions) has popped up in the blogs a few times recently: e.g. Ophelia Benson, Josh ...

Logical Deduction in Economics . Economics is not readily verifiable or falsifiable by empirical quantitative analysis but flows from logical proofs.