119 citations · 136 across the 7 of their papers we have counts for
7 papers
Axioms for typefree subjective probability
Cezary Cieslinski, Leon Horsten, Hannes Leitgeb
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 co…
Boolean-valued sets as arbitrary objects
Leon Horsten
This article explores the connection between boolean-valued class models of set theory and the theory of arbitrary objects in roughly Kit Fine's sense of the word. In particular, i…
Sets and Probability
Hazel Brickhill, Leon Horsten
In this article the idea of random variables over the set theoretic universe is investigated. We explore what it can mean for a random set to have a specific probability of belongi…
Generic structures
Leon Horsten
In this article ideas from Kit Fine's theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generic mathematical structures c…
Iterated reflection principles over full disquotational truth
Martin Fischer, Carlo Nicolai, Leon Horsten
Iterated reflection principles have been employed extensively to unfold epistemic commitments that are incurred by accepting a mathematical theory. Recently this has been applied t…
Popper Functions, Lexicographical Probability, and Non-Archimedean Probability
Hazel Brickhill, Leon Horsten
Standard probability theory has been extremely successful but there are some conceptually possible scenarios, such as fair infinite lotteries, that it does not model well. For this…
Non-Archimedean Probability
Vieri Benci, Leon Horsten, Sylvia Wenmackers
We propose an alternative approach to probability theory closely related to the framework of numerosity theory: non-Archimedean probability (NAP). In our approach, unlike in classi…