Set Theory
The branch of mathematics that studies sets and their operations. It serves as the foundational language of modern mathematics and, once axiomatized, forms the ZFC system.
Timeline (last 90 days)
Cantor founded set theory and discovered that an infinite set can be in one-to-one correspondence with a proper subset of itself (for example, there are as many natural numbers as even numbers).
In 1901 Russell proposed Russell's paradox: let R be the set of all sets that do not contain themselves—then does R contain itself? This paradox shook the foundations of set theory.
Set theory was founded by Cantor in the 1870s and was later axiomatized by Zermelo-Fraenkel to form the ZFC axiom system
All Facts (3)
Cantor founded set theory and discovered that an infinite set can be in one-to-one correspondence with a proper subset of itself (for example, there are as many natural numbers as even numbers).
50%UnverifiedIn 1901 Russell proposed Russell's paradox: let R be the set of all sets that do not contain themselves—then does R contain itself? This paradox shook the foundations of set theory.
50%UnverifiedSet theory was founded by Cantor in the 1870s and was later axiomatized by Zermelo-Fraenkel to form the ZFC axiom system
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