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 Dupinthe creative and the resolvent.”
—Edgar Allan Poe (18091849)
“Womens art, though created in solitude, wells up out of community. There is, clearly, both enormous hunger for the work thus being diffused, and an explosion of creative energy, bursting through the coercive choicelessness of the system on whose boundaries we are working.”
—Adrienne Rich (b. 1929)
“What seems to be, is, to those to whom
It seems to be, and is productive of the most dreadful
Consequences to those to whom it seems to be, even of
Torments, despair, eternal death.”
—William Blake (17571827)
“Analysis as an instrument of enlightenment and civilization is good, in so far as it shatters absurd convictions, acts as a solvent upon natural prejudices, and undermines authority; good, in other words, in that it sets free, refines, humanizes, makes slaves ripe for freedom. But it is bad, very bad, in so far as it stands in the way of action, cannot shape the vital forces, maims life at its roots. Analysis can be a very unappetizing affair, as much so as death.”
—Thomas Mann (18751955)