Mathematics
- Georg Cantor's paper, "Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen" ("On a Characteristic Property of All Real Algebraic Numbers"), published in Crelle's Journal, considered as the origin of set theory.
- W. Stanley Jevons publishes his comprehensive treatise on logic, The Principles of Science.
- Sofia Kovalevskaya is awarded a doctorate in mathematics at the University of Göttingen, the first woman in Europe to hold that degree. Her submission includes a paper on partial differential equations containing a presentation of the Cauchy-Kovalevski theorem.
Read more about this topic: 1874 In Science
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“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)