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Lexikon


set theory


ematics> A mathematical formalisation of the theory of "sets" (aggregates or collections) of objects ("elements" or "members"). Many mathematicians use set theory as the basis for all other mathematics. Mathematicians began to realise toward the end of the 19th century that just doing "the obvious thing" with sets led to embarrassing ef="module.php?name=Lexikon&file=search&eid=1&query=paradox">paradoxes, the most famous being {Russell' s Paradox}. As a result, they acknowledged the need for a suitable ef="module.php?name=Lexikon&file=search&eid=1&query=axiomatisation">axiomatisation for talking about sets. Numerous such axiomatisations exist the most popular among ordinary mathematicians is ef="module.php?name=Lexikon&file=search&eid=1&query=Zermelo Fränkel set theory">Zermelo Fränkel set theory. {The beginnings of set theory (http://www-groups.dcs.st-and.ac.uk/~history/HistoryTopics.html)}. (1995-05-10)

e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents:
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