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Synthese, Vol. 192, No. 8, Special Section on HISTORY AND PHILOSOPHY OF INFINITY (August 2015), pp. 2463-2488 (26 pages) We review different conceptions of the set-theoretic multiverse and evaluate ...

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 ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic objects in ...

Algebraic Geometry and Representation Theory have long served as twin pillars in modern mathematics, offering deep insights into the structural properties of algebraic varieties and symmetries ...

The grant will fund new research opportunities for undergraduates and outreach efforts in the local community.