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