Some applications of numerosities in measure theory
Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso
TL;DR
This paper explores how the concept of numerosity can be applied in measure theory, notably constructing a non-Archimedean probability model for infinite coin toss sequences.
Contribution
It introduces a novel application of numerosity in measure theory, creating a non-Archimedean probability framework for infinite sequences.
Findings
Developed a non-Archimedean probability model for infinite sequences
Applied numerosity to measure theory contexts
Provided new insights into infinite sequence probabilities
Abstract
We present some applications of the notion of numerosity to measure theory, including the construction of a non-Archimedean model for the probability of infinite sequences of coin tosses.
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