PHIL 1200 Chapter Notes - Chapter 14: Logical Biconditional, Material Conditional
Document Summary
A truth table is a table that displays a functional correspondence between two sets of truth-values. In truth-functional logic, a conditional sentence whose truth conditions are understood in terms of this table is called a material conditional. In truth-functional logic, a biconditional sentence whose truth conditions are understood in terms of this table is called a material biconditional. A conjunction (p&q) is only true when both conjuncts are true, otherwise it is false. A disjunction (pvq) is only false when both disjuncts are flase, otherwise it is true. A negation (-p) is always opposite in truth-value to the sentence negated. A material conditional (p)q) is only false when the antecedent (p) is true and the consequent (q) is false, otherwise it is true. A material biconditional (p=q) is only true when both sides match in truth value. We employ the replacement method to calculate the truth-values of compound sentences based on the values assigned to the part.
