FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 151-168

**Pure mathematics and physical reality (continuity and computability)**

J. Mycielski

Abstract

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Drawing upon the intuitive distinction between the real and imaginary
mathematical objects (i.e., these which have an actual or potential
physical interpretations and these which do not), we propose
a mathematical definition of these concepts.
Our definition of the class of real objects is based on a certain
universal continuous function.
We also discuss the class of computable reals, functions, functionals,
operators, etc.
and we argue that it is too narrow to encompass the class of real
objects.

Location: http://mech.math.msu.su/~fpm/eng/k05/k055/k05512h.htm

Last modified: February 26, 2006