This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

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 ...

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, ...

Solutions are available by request for course instructors and the self-taught. These documents are intended for the spring 2024 version of PHI 201, Introductory Logic. However, they will be fine-tuned ...

Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

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 ...