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:
“The majority of persons choose their wives with as little prudence as they eat. They see a trull with nothing else to recommend her but a pair of thighs and choice hunkers, and so smart to void their seed that they marry her at once. They imagine they can live in marvelous contentment with handsome feet and ambrosial buttocks. Most men are accredited fools shortly after they leave the womb.”
—Edward Dahlberg (1900–1977)
“Reminiscences, even extensive ones, do not always amount to an autobiography.... For autobiography has to do with time, with sequence and what makes up the continuous flow of life. Here, I am talking of a space, of moments and discontinuities. For even if months and years appear here, it is in the form they have in the moment of recollection. This strange form—it may be called fleeting or eternal—is in neither case the stuff that life is made of.”
—Walter Benjamin (1892–1940)