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 ...

Intro Propositional calculus and the predicate calculus are languages. Propositional: P may represent one story Predicate: Individual argument Calculus / Logic: can be used for theorem proving ...

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.

Introduction to Propositions and Predicates Recap of Propositions: For the purpose of propositional logic, propositions are (almost) atomic black-boxes: They have names and definitions, but their ...

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 ...

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 ...

This chapter contains sections titled: 4.1 Propositional Logic, 4.2 What Does It Mean to Be Constructive?, 4.3 First-Order Logic, 4.4 Predicates with Implicit Equality, 4.5 Recursive Predicates ...

But until now only methods yielding completeness results for propositional languages have been developed. In view of philosophical applications, analogous results with respect to languages of ...