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:
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. Its not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, Im able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)
“However diligent she may be, however dedicated, no mother can escape the larger influences of culture, biology, fate . . . until we can actually live in a society where mothers and children genuinely matter, ours is an essentially powerless responsibility. Mothers carry out most of the work orders, but most of the rules governing our lives are shaped by outside influences.”
—Mary Kay Blakely (20th century)
“I have heard that whoever loves is in no condition old. I have heard that whenever the name of man is spoken, the doctrine of immortality is announced; it cleaves to his constitution. The mode of it baffles our wit, and no whisper comes to us from the other side. But the inference from the working of intellect, hiving knowledge, hiving skill,at the end of life just ready to be born,affirms the inspirations of affection and of the moral sentiment.”
—Ralph Waldo Emerson (18031882)