Tõeväärtustabel

Tõeväärtustabel, also known as a truth table, is a fundamental tool in logic and mathematics used to determine the truth value of a compound statement. It systematically lists all possible combinations of truth values for the individual propositions within a statement and then shows the resulting truth value of the entire statement for each combination.

Each row in a truth table represents a unique assignment of truth values (true or false) to the elementary propositions. The columns typically represent the elementary propositions and any intermediate or final compound propositions. By following the rules of logical connectives such as "and" (conjunction), "or" (disjunction), "not" (negation), "if...then" (implication), and "if and only if" (biconditional), the truth value of the compound statement can be deduced for every possible scenario.

Truth tables are invaluable for verifying the logical equivalence of different statements, proving theorems, and understanding the behavior of logical operations. They provide a clear and unambiguous method for analyzing complex logical expressions and are a cornerstone of propositional calculus. The systematic nature of truth tables ensures that all possibilities are considered, making them a reliable method for logical analysis.