Titlebook: Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum; Symposium Proceeding Peter Schuster,Ulrich Berger,Horst Ossw

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Conference proceedings 2001 and philosophical issues, the topics of the contributions range from the foundations, the practice, and the applications of constructive and nonstandard mathematics, to the interplay of these areas and the development of a unified theory. .

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Reuniting the Antipodes - Constructive and Nonstandard Views of the ContinuumSymposium Proceeding

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0166-6991 use it makes a rather unrestricted use of classical logic and set theory and, in particular, of the axiom of choice. Recent developments, however, have given rise to the hope that the distance between constructive and nonstandard mathematics is actually much smaller than it appears. So the time was

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On Hyperfinite Approximations of the Field ,,y of some matrix groups implies the impossibility to approximate . by a hyperfinite field in a such way that the operation of taking an inverse element in . is approximated by the similar operation in approximating hyperfinite field.

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