What are the five truth functions? Explaim briefly
Logic
ScanSolve AI Answer
The five truth functions, also known as logical connectives, are:
- Conjunction (AND): A compound statement formed by connecting two statements with "and" (symbolized as ). It is true only if both statements are true.
- Disjunction (OR): A compound statement formed by connecting two statements with "or" (symbolized as ). It is true if at least one of the statements is true.
- Negation (NOT): A statement that reverses the truth value of another statement (symbolized as ). If the original statement is true, its negation is false, and vice-versa.
- Conditional (IF...THEN): A compound statement formed by connecting two statements with "if...then" (symbolized as ). It is false only when the first statement (antecedent) is true and the second statement (consequent) is false.
- Biconditional (IF AND ONLY IF): A compound statement formed by connecting two statements with "if and only if" (symbolized as ). It is true when both statements have the same truth value (both true or both false).
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