In intuitionistic mathematics, a choice sequence is a constructive formulation of a sequence. Since the Intuitionistic school of mathematics, as formulated by L. E. J. Brouwer, rejects the idea of a completed infinity, in order to use a sequence (which is, in classical mathematics, an infinite object), we must have a formulation of a finite, constructible object which can serve the same purpose as a sequence. Thus, Brouwer formulated the choice sequence, which is given as a construction, rather than an abstract, infinite object.
Read more about Choice Sequence: Lawlike and Lawless Sequences, Axiomatization
Famous quotes containing the words choice and/or sequence:
“When there is a choice about it, a great sacrifice is preferable to a small sacrifice, because we compensate ourselves for a great one with self-admiration, which is not possible with a small one.”
—Friedrich Nietzsche (1844–1900)
“It isn’t that you subordinate your ideas to the force of the facts in autobiography but that you construct a sequence of stories to bind up the facts with a persuasive hypothesis that unravels your history’s meaning.”
—Philip Roth (b. 1933)