Creative And Productive Sets
In computability theory, productive sets and creative sets are types of sets of natural numbers that have important applications in mathematical logic. They are a standard topic in mathematical logic textbooks such as Soare (1987) and Rogers (1987).
Read more about Creative And Productive Sets: Definition and Example, Properties, Applications in Mathematical Logic, History
Famous quotes containing the words creative and, creative, productive and/or sets:
“Observing him in these moods, I often dwelt meditatively upon the old philosophy of the Bi-Part Soul, and amused myself with the fancy of a double Dupin—the creative and the resolvent.”
—Edgar Allan Poe (1809–1849)
“Assuming that rapture is nature’s play with man, the Dionysian artist’s creative activity is the play with rapture.”
—Friedrich Nietzsche (1844–1900)
“The result of civilization, at the Sandwich Islands and elsewhere, is found productive to the civilizers, destructive to the civilizees. It is said to be compensation—a very philosophical word; but it appears to be very much on the principle of the old game, “You lose, I win”: good philosophy for the winner.”
—Herman Melville (1819–1891)
“Certain anthropologists hold that man, having discovered tools, ceased to evolve biologically. Animals, never having discovered them, continue to fashion drills out of their beaks, oars out of their hind feet, wings out of their forefeet, suits of armor out of their hides, levers out of their horns, saws out of their teeth. Whether this be true or not, all authorities agree that man is the tool-using animal. It sets him off from the rest of the animal kingdom as drastically as does speech.”
—Stuart Chase (1888–1985)