Constructivism (mathematics)

Choice sequence

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 that 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. (Wikipedia).

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Related pages

Numbering (computability theory) | Axiom | Primitive recursive function | Dice | Function (mathematics) | L. E. J. Brouwer | Intuitionism | Sequence | Algorithm