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pro vyhledávání: '"Horsten, Leon"'
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
Externí odkaz:
http://arxiv.org/abs/2203.04879
Autor:
Horsten, Leon
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, it explores the hypothesis that the set theoretic universe as a whole c
Externí odkaz:
http://arxiv.org/abs/2002.02181
Autor:
Brickhill, Hazel, Horsten, Leon
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 belonging to an antecedently given class of sets.
Externí odkaz:
http://arxiv.org/abs/1903.08361
Akademický článek
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Autor:
Horsten, Leon
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 can be viewed as generic systems of mathematical objects, where mathema
Externí odkaz:
http://arxiv.org/abs/1805.04962