On mathematical realism and applicability of hyperreals

DOI10.15330/ms.51.2.200-224zbMath1436.00032arXiv1907.07040OpenAlexW3105089534WikidataQ125047481 ScholiaQ125047481MaRDI QIDQ2323044

Emanuele Bottazzi, David Sherry, Mikhail G. Katz, Thomas Mormann, Kanovei, Vladimir

Publication date: 30 August 2019

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07040

zbMATH Keywords

automorphismrigidityLebesgue measureLotka-Volterra modelhyperrealsinfinitesimalsapplicabilityinstrumentalism\(\sigma\)-additivityobject realismtruth-value realism

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Nonstandard models in mathematics (03H05)

Related Items (4)

Infinitesimal analysis without the axiom of choice ⋮ Infinitesimals via Cauchy sequences: refining the classical equivalence ⋮ Spaces of measurable functions on the Levi-Civita field ⋮ Procedures of Leibnizian infinitesimal calculus: an account in three modern frameworks

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