Metamathematical investigations on the theory of Grossone

Gabriele Lolli

Applied Mathematics and Computation, 2015, vol. 255, issue C, 3-14

Abstract: We propose an axiomatization of Sergeyev’s theory of Grossone, trying to comply with his methodological principles. We find that a simplified form of his Divisibility axiom is sufficient. We use for easier readability a second order language and a predicative second order logic. Our theory is not finitely axiomatizable and is a conservative extension of Peano’s arithmetic.

Keywords: Grossone; Infinite; Arithmetic; Divisibility; Conservativeness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:255:y:2015:i:c:p:3-14

DOI: 10.1016/j.amc.2014.03.140

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