Publikation:

Triangulating non-archimedean probability

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2018

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1x0b6t9w1xem44
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https://doi.org/10.1017/S1755020318000060
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The Review of Symbolic Logic. Cambridge University Press. 2018, 11(3), pp. 519-546. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020318000060

Zusammenfassung

We relate Popper functions to regular and perfectly additive such non-Archimedean probability functions by means of a representation theorem: every such non-Archimedean probability function is infinitesimally close to some Popper function, and vice versa. We also show that regular and perfectly additive non-Archimedean probability functions can be given a lexicographic representation. Thus Popper functions, a specific kind of non-Archimedean probability functions, and lexicographic probability functions triangulate to the same place: they are in a good sense interchangeable.

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100 Philosophie

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ISO 690BRICKHILL, Hazel, Leon HORSTEN, 2018. Triangulating non-archimedean probability. In: The Review of Symbolic Logic. Cambridge University Press. 2018, 11(3), pp. 519-546. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020318000060
BibTex
@article{Brickhill2018-09Trian-48651,
  year={2018},
  doi={10.1017/S1755020318000060},
  title={Triangulating non-archimedean probability},
  number={3},
  volume={11},
  issn={1755-0203},
  journal={The Review of Symbolic Logic},
  pages={519--546},
  author={Brickhill, Hazel and Horsten, Leon}
}
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