The Axiom of Choice and Zorn's Lemma - The Concept of 'Choice' That Shook the Foundations of Mathematics
Categories
6 pages
Set Theory
Cantor's Diagonal Argument - Proof That Real Numbers Are 'Overwhelmingly More' Than Rational Numbers
Continuum Hypothesis - Cantor's Ultimate Question and the 'Unprovable and Undisprovable' Conclusion
Richard's Paradox: The Contradiction Caused by Infinite Decimals and the "Diagonal Argument"
Hilbert's Grand Hotel: How to Accommodate Infinite New Guests in a Fully Booked Hotel
Banach-Tarski Paradox: Cut one sphere and get two spheres of the same size?
