What are the five truth functions? Explaim briefly

Logic

ScanSolve AI Answer

The five truth functions, also known as logical connectives, are:

  1. Conjunction (AND): A compound statement formed by connecting two statements with "and" (symbolized as ∧\land). It is true only if both statements are true.
  2. Disjunction (OR): A compound statement formed by connecting two statements with "or" (symbolized as ∨\lor). It is true if at least one of the statements is true.
  3. Negation (NOT): A statement that reverses the truth value of another statement (symbolized as ¬\neg). If the original statement is true, its negation is false, and vice-versa.
  4. Conditional (IF...THEN): A compound statement formed by connecting two statements with "if...then" (symbolized as →\to). It is false only when the first statement (antecedent) is true and the second statement (consequent) is false.
  5. Biconditional (IF AND ONLY IF): A compound statement formed by connecting two statements with "if and only if" (symbolized as ↔\leftrightarrow). It is true when both statements have the same truth value (both true or both false).
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