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:
“... we have come to think of all idleness as hoggish, not as creative and radiant.”
—Brenda Ueland (1891–1985)
“Nothing exists until or unless it is observed. An artist is making something exist by observing it. And his hope for other people is that they will also make it exist by observing it. I call it “creative observation.” Creative viewing.”
—William Burroughs (b. 1914)
“Suppose that humans happen to be so constructed that they desire the opportunity for freely undertaken productive work. Suppose that they want to be free from the meddling of technocrats and commissars, bankers and tycoons, mad bombers who engage in psychological tests of will with peasants defending their homes, behavioral scientists who can’t tell a pigeon from a poet, or anyone else who tries to wish freedom and dignity out of existence or beat them into oblivion.”
—Noam Chomsky (b. 1928)
“Whether changes in the sibling relationship during adolescence create long-term rifts that spill over into adulthood depends upon the ability of brothers and sisters to constantly redefine their connection. Siblings either learn to accept one another as independent individuals with their own sets of values and behaviors or cling to the shadow of the brother and sister they once knew.”
—Jane Mersky Leder (20th century)