By proving that some infinities are larger than others, Georg Cantor revolutionized mathematics—introducing the idea of countable and uncountable infinities and igniting a century-long debate.
- axiom of choice
- Banach–Tarski paradox
- Cantor’s theory of infinity
- controversial math axioms
- countable vs uncountable infinities
- Ernst Zermelo
- Georg Cantor
- infinite cardinality
- infinite sets
- infinity in mathematics
- mathematical axioms
- mathematical logic
- mathematical philosophy
- modern mathematics foundations
- non-measurable sets
- philosophical mathematics
- set theory history
- set theory paradoxes
- veritasium
- well-ordering theorem
- youtube
- Zermelo-Fraenkel set theory
