Publikation:

A Strong Reflection Principle

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2017

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1pt61odbuc20f3
DOI (zitierfähiger Link)
https://doi.org/10.1017/S1755020317000223
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Published

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The Review of Symbolic Logic. Cambridge University Press. 2017, 10(4), pp. 651-662. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020317000223

Zusammenfassung

This article introduces a new reflection principle. It is based on the idea that whatever is true in all entities of some kind is also true in a set-sized collection of them. Unlike standard reflection principles, it does not re-interpret parameters or predicates. This allows it to be both consistent in all higher-order languages and remarkably strong. For example, I show that in the language of second-order set theory with predicates for a satisfaction relation, it is consistent relative to the existence of a 2-extendible cardinal (Theorem 7.12) and implies the existence of a proper class of 1-extendible cardinals (Theorem 7.9).

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
100 Philosophie

Schlagwörter

set theory, reflection principles, large cardinals, intrinsic justification

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undefined / . - undefined, undefined

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ISO 690ROBERTS, Sam, 2017. A Strong Reflection Principle. In: The Review of Symbolic Logic. Cambridge University Press. 2017, 10(4), pp. 651-662. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020317000223
BibTex
@article{Roberts2017Stron-53567,
  year={2017},
  doi={10.1017/S1755020317000223},
  title={A Strong Reflection Principle},
  number={4},
  volume={10},
  issn={1755-0203},
  journal={The Review of Symbolic Logic},
  pages={651--662},
  author={Roberts, Sam}
}
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