Propositional Logic Basics

how simple statements are altered to form compound statements, and the way(s) in which truth is a function of the simple statements and the compounding elements.

a statement that does not have any other statement as a component

to facilitate the study of propositional logic

<p>tilde</p> Signup and view all the answers

<p>The truth values of its components and the definitions of the logical operators involved.</p> Signup and view all the answers

<p>to represent conjunction, which conjoins two distinct statements</p> Signup and view all the answers

<p>A truth-functional compound proposition that can be determined by the truth values of its components and the definitions of the logical operators involved.</p> Signup and view all the answers

<p>a compound statement made up of two conditionals</p> Signup and view all the answers

<p>A pattern of statement variables and logical operators.</p> Signup and view all the answers

<p>to create well-formed formulas, which are grammatically correct compound statement forms</p> Signup and view all the answers

<p>Inclusive disjunction allows both disjuncts to be true at the same time, while exclusive disjunction does not.</p> Signup and view all the answers

<p>the logical operator that has in its range the largest component or components in a compound statement</p> Signup and view all the answers

<p>A step-by-step method of generating a complete truth table, handling the logical operators in a specific order.</p> Signup and view all the answers

<p>A statement that is neither necessarily true nor necessarily false, but is sometimes true and sometimes false.</p> Signup and view all the answers

<p>A statement that is necessarily true.</p> Signup and view all the answers

<p>Two truth-functional statements that appear different but have identical truth tables.</p> Signup and view all the answers