Abstract
This chapter presents the logical framework for strict finitism. I will first present a logical formal system for strict finitism. Then, I will introduce a system of semi-formal notations to allow the presentation of the constructions and inferences in strict finitism in a simplified and more readable format. This will allow us to state ordinary mathematics in strict finitism in an informal way and make it look very similar to classical mathematics. This includes allowing us to talk about sets and functions in strict finitism, although we are not really committed to such entities.
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Ye, F. (2011). Strict Finitism. In: Strict Finitism and the Logic of Mathematical Applications. Synthese Library, vol 355. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1347-5_2
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DOI: https://doi.org/10.1007/978-94-007-1347-5_2
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