Triangulating non-Archimedean probability

Hazel Brickhill, Leon F M Horsten

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
222 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)519-546
Number of pages27
JournalReview of Symbolic Logic
Issue number3
Early online date24 Jul 2018
Publication statusPublished - 26 Oct 2018


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