14 citations · 44 across the 14 of their papers we have counts for
4 papers · 1 filter
A real-valued measure on non-Archimedean field extensions of
Emanuele Bottazzi
We introduce a real-valued measure on non-Archimedean ordered fields that extend the field of real numbers . The definition of is i…
Internality, transfer, and infinitesimal modeling of infinite processes
Emanuele Bottazzi, Mikhail G. Katz
A probability model is underdetermined when there is no rational reason to assign a particular infinitesimal value as the probability of single events. Pruss claims that hyperreal…
Infinite lotteries, spinners, and the applicability of hyperreals
Emanuele Bottazzi, Mikhail G. Katz
We analyze recent criticisms of the use of hyperreal probabilities as expressed by Pruss, Easwaran, Parker, and Williamson. We show that the alleged arbitrariness of hyperreal fiel…
Integration with filters
Emanuele Bottazzi, Monroe Eskew
We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in…