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** Category of sets
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** and Category
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** and sets
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.
** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.
** The Lebesgue measure of a countable disjoint union of measurable sets is equal to the sum of the measures of the individual sets.
** In particular, the cofinality of any nonzero finite ordinal, or indeed any finite directed set, is 1, since such sets have a greatest element.
** Fisher – Yates shuffle, also known as the Knuth Shuffle, an algorithm for randomly permuting sets
** In many languages ( e. g., Czech, English, French, Interlingua, and Russian ), the sets of relative and interrogative pronouns are nearly identical.
** Andy Green sets the first supersonic land speed record for the ThrustSSC team, led by Richard Noble of the UK.
** The first domestic radio sets come to stores in the United States ; a Westinghouse radio costs $ 10.
** The Human Be-In takes place in Golden Gate Park, San Francisco ; the event sets the stage for the Summer of Love.
** Vietnam War: In New York City, 22-year-old Catholic Worker Movement member Roger Allen LaPorte sets himself on fire in front of the United Nations building in protest of the war.
** Peter the Great sets out to travel in Europe officially incognito as " Artilleryman Pjotr Mikhailov ".
** Papillons ( Butterflies )— music by Robert Schumann ( arranged by Nicolai Tcherepnin ), choreography by Michel Fokine, sets by Mstislav Dobuzhinsky, and costumes by Leon Bakst.
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