In this mammoth work, he created the machinery needed to replace set theory with a new mathematical foundation, one based on infinity categories. “He created literally thousands of pages of this ...

So far, naive set theory seems to be holding up elsewhere, so we are still okay. The paradox comes in when we think about the inverse of A — the set of all sets that do not contain themselves as ...

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 ...

Set theory is about more than describing sets. Just as, in arithmetic, you learn to apply arithmetical operations to numbers—for example, addition or multiplication—you can also define set ...

This paper examines Quine’s set theory, New Foundations (NF), in the context of contemporary philosophy of set theory. Almost unanimously, philosophers of set theory now take the iterative conception, ...

Carolin Antos, Sy-David Friedman, Radek Honzik, Claudio Ternullo, Multiverse conceptions in set theory, Synthese, Vol. 192, No. 8, Special Section on HISTORY AND PHILOSOPHY OF INFINITY (August 2015), ...

Sets and Set Theory in Business Operations. 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 ...

Category theory arguably plays this role in modern mathematics: if mathematics is the science of analogy, the study of patterns, then category theory is the study of patterns of mathematical ...

God and Math at Dinner My son explains why some infinities are bigger than others. By Mike Kerrigan Jan. 4, 2023 5:50 pm ET ...