Hausdorff paradox
Paradoja de Hausdorff
- Date
- 1914 · confidence high
- Place
- Bonn, North Rhine-Westphalia, Germany
- Credited to
- Felix Hausdorff
- Field
- Knowledge & symbols
What was discovered
A mathematical paradox that, using the axiom of choice, shows the sphere's surface can be decomposed into a countable set of points and three pairwise-congruent disjoint subsets, two of which together are also congruent to each one alone; formulated by Felix Hausdorff.
What it led to
- Direct precursor to the Banach-Tarski paradox
- Showed counterintuitive consequences of the axiom of choice
- Spurred research in set theory and measure theory