Predicate logic is an extension of propositional logic. Here we consider what is called first-order predicate logic, abbreviated FOL (sometimes abbreviated PL1, not to be confused with the programming ...

This article, the second in a series of three, deals with the classical logics which will give rise to mathematical logic at the end of the 19th century. The logic of propositions is first presented, ...

Historically, it was initially a formalization of mathematical language and reasoning, proposed by G. Frege between the end of the 19th and the beginning of the 20th century, and "popularized" by B.

Abstract: The paper introduces a predicate version of two-layered fuzzy probability logic, extending the known propositional probability logic based on the infinite-valued logic of Lukasiewicz. The ...

Truth diagrams (TDs) are introduced as a novel graphical representation for propositional logic (PL). To demonstrate their epistemic efficacy a set of 28 concepts are proposed that any comprehensive ...

This paper provides a logic framework for investigations of game theoretical problems. We adopt an infinitary extension of classical predicate logic as the base logic of the framework. The reason for ...

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 ...