transfinite cardinal वाक्य
उदाहरण वाक्य
मोबाइल
- He called the cardinal numbers of these infinite sets transfinite cardinal numbers.
- Hartman, following Georg Cantor, uses reciprocals of transfinite cardinal numbers.
- Zermelo began to work on the problems of set theory under Hilbert's influence and in 1902 published his first work concerning the addition of transfinite cardinals.
- Since there are only countably many of those numbers at least one of them must be uncountable ( I'm using " number " to refer to include transfinite cardinals ).
- Georg Cantor developed a system of transfinite numbers, in which the first transfinite cardinal is aleph-null ( 5 ! 0 ( \ aleph _ 0 )-- > ), the cardinality of the set of natural numbers.
- Cantor also developed a large portion of the general theory of cardinal numbers; he proved that there is a smallest transfinite cardinal number ( \ aleph _ 0, aleph-null ), and that for every cardinal number there is a next-larger cardinal
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