Paradoxes of set theory This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter-intuitive …

Dec 8, 1995 · Russell’s paradox is a contradiction—a logical impossibility—of concern to the foundations of set theory and logical reasoning generally. It was discovered by Bertrand …

Jun 17, 2025 · The paradox shows that this set cannot exist, as it leads to a contradiction. Richard's Paradox: This paradox, discovered by Jules Richard, is a self-referential paradox …

Russell’s paradox, statement in set theory, devised by the English mathematician-philosopher Bertrand Russell, that demonstrated a flaw in earlier efforts to axiomatize the subject.

Set theoretic paradoxes such as Cantor's, Burali-Forti's, Russell's, and the barber, expose contradictions or complications in set theory. Semantic paradoxes, such as the liar, Richard's, …

In this paper, we focus on paradoxes of set theory. Specifi-cally, we show their analogy with the known paradox of causality, and we use this analogy to come up with similar set-theoretic …

Apr 19, 2025 · An overview of set theory, Part 2: Russell’s paradox. How the paradox forever changed the progression of set theory.

This contradiction is Russell's paradox. It was significant due to reshaping the definitions of set theory, which was of particular interest at the time as the fundamental axioms of mathematics …

Two influential ways of avoiding the paradox were both proposed in 1908: Russell's own type theory and the Zermelo set theory. In particular, Zermelo's axioms restricted the unlimited …

In 1901, the brilliant British philosopher and mathematician, Bertrand Russell, made a groundbreaking discovery that shook the very foundations of mathematics: Russell’s Paradox.