Abstract
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 language | English |
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Pages (from-to) | 519-546 |
Number of pages | 27 |
Journal | Review of Symbolic Logic |
Volume | 11 |
Issue number | 3 |
Early online date | 24 Jul 2018 |
DOIs | |
Publication status | Published - 26 Oct 2018 |