Rules of Inference
Like all connectives in first-order logic, the biconditional has rules of inference that govern its use in formal proofs.
Read more about this topic: Logical Biconditional
Famous quotes containing the words rules and/or inference:
“Syntax and vocabulary are overwhelming constraints—the rules that run us. Language is using us to talk—we think we’re using the language, but language is doing the thinking, we’re its slavish agents.”
—Harry Mathews (b. 1930)
“Rules and particular inferences alike are justified by being brought into agreement with each other. A rule is amended if it yields an inference we are unwilling to accept; an inference is rejected if it violates a rule we are unwilling to amend. The process of justification is the delicate one of making mutual adjustments between rules and accepted inferences; and in the agreement achieved lies the only justification needed for either.”
—Nelson Goodman (b. 1906)