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Analysis without actual infinity

Published online by Cambridge University Press:  12 March 2014

Jan Mycielski
Jan Mycielski*
Affiliation:
University of Colorado, Boulder, Colorado 80309
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Abstract

We define a first-order theory FIN which has a recursive axiomatization and has the following two properties. Each finite part of FIN has finite models. FIN is strong enough to develop that part of mathematics which is used or has potential applications in natural science. This work can also be regarded as a consistency proof of this hitherto informal part of mathematics. In FIN one can count every set; this permits one to prove some new probabilistic theorems.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 3 , September 1981 , pp. 625 - 633
Copyright
Copyright © Association for Symbolic Logic 1981

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References

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