transfinite cardinal मीनिंग इन हिंदी

उदाहरण वाक्य

1. He called the cardinal numbers of these infinite sets transfinite cardinal numbers.
2. Hartman, following Georg Cantor, uses reciprocals of transfinite cardinal numbers.
3. 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.
4. 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 ).
5. 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.
6. 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