This is a preview. Log in through your library . Abstract We prove the following surprising property of Heyting's intuitionistic propositional calculus, IpC. Consider the collection of formulas, φ, ...

We are hardly ever consciously aware that we use logic to solve everyday problems. But what is logic? Is the logic used to prove theorems in mathematics the same kind that we use for our practical ...

We investigate and classify the notion of final derivability of two basic inconsistency-adaptive logics. Specifically, the maximal complexity of the set of final consequences of decidable sets of ...

Logic is among the oldest and most foundational of the university disciplines. The goal is to equip students with most general possible framework for sound and rigorous reasoning — one that works ...