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 ...

New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind.

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, ...

This is a preview. Log in through your library . Abstract We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the ...