2014/08/11 by Cael L. Hasse, Hasse, Cael L.
Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Logic, Reasoning, and Knowledge #Statistics Theory (math.ST) #cs.AI #math.ST #stat.TH
paper · pdf · doi:10.48550/arxiv.1408.2287
arxiv created 2014/08/11 · openalex publication_date 2014/08/11 · arxiv updated 2014/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Probability theory as extended logic is completed such that essentially any probability may be determined. This is done by considering propositional logic (as opposed to predicate logic) as syntactically suffcient and imposing a symmetry from propositional logic. It is shown how the notions of `possibility' and `property' may be suffciently represented in propositional logic such that 1) the principle of indifference drops out and becomes essentially combinatoric in nature and 2) one may appropriately represent assumptions where one assumes there is a space of possibilities but does not assume the size of the space.