id author title date pages extension mime words sentences flesch summary cache txt work_bwdtsl4vofbf5o4u3jfytygzrm Vieri Benci Infinitesimal Probabilities: Table 1 2016 45 .pdf application/pdf 20120 2079 66 called NAP), which allows the assignment of non-zero probabilities to infinitely unlikely events (Benci et al. describe one particular theory of non-standard probability, called NAP Because of the Archimedean property of the real numbers (that are used in the value range of classical probability functions) and finite additivity, the probability of any particular ticket the semi-classical probability values collapse a distinction between any infinitely improbable but possible event ('remote contingency') on the one hand, This can be obtained directly by considering fair lotteries on finite sample spaces and by applying the transfer principle from NSA to it; see, in particular, Nelson's ([1987]) probability theory. There exists a representation theorem relating regular non-standard probability functions that only satisfy finite additivity (and not necessarily NAP's Concerning a non-standard probability function for a fair lottery on the natural numbers from (Wenmackers and Horsten [2013]), Kremer ./cache/work_bwdtsl4vofbf5o4u3jfytygzrm.pdf ./txt/work_bwdtsl4vofbf5o4u3jfytygzrm.txt