Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

Set theory is a mathematical abstract concerned with the grouping of sets of numbers that have commonality. For example, all even numbers make up a set, and all odd numbers comprise a set. All numbers ...

A Platonistic set theory with a universal set, CUSɩ, in the spirit of Alonzo Church's "Set Theory with a Universal Set," is presented; this theory uses a different sequence of restricted equivalence ...

The conjunction and disjunction fallacies are famous for revealing the limits of human reasoning about probability. This can be measured by telling people a short story about a character and then ...

It is shown that a class of infinite, block-partitioned, stochastic matrices has a matrix-geometric invariant probability vector of the form (x0,x1,...), where xk=x0Rk, for k≥ 0. The rate matrix R is ...

Discrete Mathematics is a subject that has gained prominence in recent times. Unlike regular Maths, where we deal with real numbers that vary continuously, Discrete Mathematics deals with logic that ...