Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant.

As an academic discipline, logic is the study of reasoning. Logic puzzles, therefore, involve making a series of inferences ...

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 ...

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 ...

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, ...

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 ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...