4 thinkers, books, and ideas connected to this field.
American set theorist who has worked on independence results related to choice principles in set theory.
Czech-American set theorist who wrote Set Theory — the comprehensive reference work for modern set theory — and has contributed to forcing, large cardinals, and the axiom of choice.
A fundamental set-theoretic principle: if every chain (totally ordered subset) of a partially ordered set has an upper bound in the set, then the set has at least one maximal element.
Waclaw Sierpinski was one of the most prolific Polish mathematicians of the 20th century, making foundational contributions to set theory, number theory, and topology. He is best known for the Sierpinski triangle — a self-similar fractal — and the Sierpinski carpet, though his deeper contributions lie in axiom of choice research and cardinal arithmetic.