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Axioms for typefree subjective probability

Logic 2022-03-10 v1

Abstract

We formulate and explore two basic axiomatic systems of typefree subjective probability. One of them explicates a notion of finitely additive probability. The other explicates a concept of infinitely additive probability. It is argued that the first of these systems is a suitable background theory for formally investigating controversial principles about typefree subjective probability.

Cite

@article{arxiv.2203.04879,
  title  = {Axioms for typefree subjective probability},
  author = {Cezary Cieslinski and Leon Horsten and Hannes Leitgeb},
  journal= {arXiv preprint arXiv:2203.04879},
  year   = {2022}
}

Comments

19 pages

R2 v1 2026-06-24T10:07:38.404Z