Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/38693

Title: A Theory of Marginal and Large Difference
Authors: Dinis, Bruno
Jacinto, Bruno
Issue Date: 8-Jul-2023
Publisher: Springer
Citation: Dinis, B., Jacinto, B. A Theory of Marginal and Large Difference. Erkenntnis Volume 90, pages 517–544, (2025). https://doi.org/10.1007/s10670-023-00709-z
Abstract: We propose a new theory based on the notions of marginal and large difference which has natural models in the context of nonstandard mathematics. We introduce the notion of finite marginality and show a representation result which ensures, for finitely marginal countable models, the existence of a homomorphism of the structure of marginal and large difference into a nonstandard model of the natural numbers, and show the extent to which any such homomorphism is unique. Finally, we show that our theory constitutes part of the underlying abstract structure of three distinct philosophical theories of vagueness: Dean’s neofeasibilism, Itzhaki’s theory of nonstandard heuristics, and our own initial sketch of a nonstandard primitivism about vagueness
URI: https://doi.org/10.1007/s10670-023-00709-z
http://hdl.handle.net/10174/38693
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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