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Unformatted text preview: Infnite Ordinals and Cardinals or nite ordinals and cardinals, the distinction is linguistic and conceptual, not mathematical. Transnite ordinal numbers were introduced by Cantor in 1883. Order types of wellordered sets. Noncommutative arithmetic. (More to come on the reason for their discovery.) Transnite cardinal numbers were introduced by Cantor in 1895. Some algebraic rules. Hyperreal Numbers More or less invented by Abraham Robinson in 1960s to allow working with diFerentials in a rigorous matter. Nonstandard analysis. Not widely used. (Maybe more to come.)...
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 Fall '10
 wen
 Logic, Real Numbers

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