history-page43 - Set Theory in the 19th Century Its Genesis...

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Unformatted text preview: Set Theory in the 19th Century Its Genesis Terminology Bolzano gave us the word set in his 1851 publication of Paradoxes of the Infinite . Notation Peano introduced the symbols for intersection and for union in 1888. Peano introduced the symbol for membership in 1889. Bertrand Russell gave us the stylized in 1903. The symbol for the empty set was introduced by Andr Weil in 1939. Cantor introduced the enclosure of the elements of a set in curly braces {} in 1895. The history of the symbol for is a subset of is unclear. Theory Cantor is generally credited as the inventor of set theory. Particular innovations in- cluded: His work with infinite sets. His break from the Part-Whole theory of collections that was used by his pre- decessors and that had no distinction between a singleton { s } and s itself. The fundamental relationship for Cantorian set theory was that of membership....
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This note was uploaded on 12/29/2011 for the course MATH 378 taught by Professor Wen during the Fall '10 term at SUNY Stony Brook.

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