Mathematics
- May/June - Russell's paradox: Bertrand Russell shows that Georg Cantor's naive set theory leads to a contradiction.
- Élie Cartan develops the exterior derivative.
- Leonard Eugene Dickson publishes Linear groups with an exposition of the Galois field theory in Leipzig, advancing the classification of finite simple groups and listing almost all non-abelian simple groups having order less than one billion.
- Aleksandr Lyapunov proves the central limit theorem rigorously using characteristic functions.
Read more about this topic: 1901 In Science
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