Journal of Symbolic Logic

Analysis Without Actual Infinity

Jan Mycielski

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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.

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J. Symbolic Logic, Volume 46, Issue 3 (1981), 625-633.

First available in Project Euclid: 6 July 2007

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Mycielski, Jan. Analysis Without Actual Infinity. J. Symbolic Logic 46 (1981), no. 3, 625--633.

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