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Function Quotes

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Function Quotes

“But it is recognized that punishment for the abuse of the liberty accorded to the press is essential to the protection of the public, and that the common law rules that subject the libeler to responsibility for the public offense, as well as for the private injury, are not abolished by the protection extended in our constitutions. The law of criminal libel rests upon that secure foundation. There is also the conceded authority of courts to punish for contempt when publications directly tend to prevent the proper discharge of judicial functions.”

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”

“Recognizing that we have the kind of blood we have because we have the kind of kidneys we have, we must acknowledge that our kidneys constitute the major foundation of our philosophical freedom. Only because they work the way they do has it become possible for us to have bones, muscles, glands and brains. Superficially, it might be said that the function of the kidney is to make urine; but in a more considered view one can say that the kidneys make the stuff of philosophy itself.”

“All societies are based on rules to protect pregnant women and young children. All else is surplusage, excrescence, adornment, luxury, or folly which can - and must - be dumped in emergency to preserve this prime function. As racial survival is the only universal morality, no other basic is possible. Attempts to formulate a "perfect society" on any foundation other than "Women and children first!" is not only witless, it is automatically genocidal. Nevertheless, starry-eyed idealists (all of them male) have tried endlessly - and no doubt will keep trying.”

“For the Humanist, . . . head and heart . . . must function together. . . . The constitution of the Phillips Exeter Academy reads: 'Though goodness without knowledge . . . is weak and feeble, yet knowledge without goodness is dangerous. . . . Both united form the noblest character and lay the surest foundation of usefulness to mankind.'”