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 of, rules and/or inference:
“Trust men, and they will be true to you; treat them greatly, and they will show themselves great, though they make an exception in your favor to all their rules of trade.”
—Ralph Waldo Emerson (1803–1882)
“This was Pharaoh, direct descendent of our deity Amon, god of the sun, who rules the heavens as Pharaoh rules the earth. Again, he brought treasure, gold, and precious jewels taken from our enemies. For to Pharaoh riches were power and power was to be desired. And also again he brought many captives. For is it not by slaves that one becomes even richer and then has even more power?”
—William Faulkner (1897–1962)
“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)