The logic of propositions is first presented, which is the one introduced by Aristotle and which reigned for two thousand years. Next, the logic of predicates is exposed, which imposed itself at the ...

Predicate logic Definition (first-order predicate logic). First-order predicate logic or sentential logic or statement logic is a branch of logic that deals with quantified variables, so that rather ...

This is a first version of a lecture on propositional and predicate logic. The lecture notes are incomplete as of yet, but the goal is to add notes for one lecture every week.

In traditional propositional logic(PL), the atomic part of formulas are proposition symbols. In first-order logic(FL) the atomic part of formulas are terms, predicates are relations among terms, and ...

Outline of topics Ever since modern symbolic logic was consolidated (in the mid 1900s), the standard format for an introductory logic class has been to learn the classical predicate calculus in three ...

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 ...

Chapter 2 Propositional Logic Definition: A system of symbols, formal language, operators and inference rules that lets you draw sound conclusions about the world around you. Two major classes of ...

We study predicate logic that is interpreted in Kripke models similarly to intuitionistic logic except that the accessibility relation of each model is not necessarily reflexive. Unlike in ...