measure theory

Felix Hausdorff and the Basic Principles of Set Theory

Felix Hausdorff and the Basic Principles of Set Theory

On November 8, 1868, German mathematician Felix Hausdorff was born. He is considered a co-founder of general topology and made significant contributions to general and descriptive set theory, measure theory, functional analysis and algebra. In addition to his profession, he also worked as a philosophical writer and literary figure under the pseudonym Paul Mongré. Felix Hausdorff – Early Years Felix Hausdorff was born in Breslau, Kingdom of Prussion, today Wroclaw in Poland. Hausdorff’s…
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Émile Borel and the Infinite Monkey Problem

Émile Borel and the Infinite Monkey Problem

On January 7, 1871, French mathematician Félix Édouard Justin Émile Borel was born. Borel is known for his founding work in the areas of measure theory and probability. In one of his books on probability, he proposed the thought experiment that a monkey hitting keys at random on a typewriter keyboard will – with absolute certainty – eventually type every book in France’s Bibliothèque nationale de France (National Library). This is now…
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