例句與造句

1. This can be continued to transfinite ordinals by transfinite induction; the union of all the higher centers is called the "'hypercenter " '.
2. The jump can be iterated into transfinite ordinals : the sets for, where is the Church-Kleene ordinal, are closely related to the hyperarithmetic hierarchy.
3. To define this set, he defined the transfinite ordinal numbers and transformed the infinite indices into ordinals by replacing  " with ?, the first transfinite ordinal number.
4. To define this set, he defined the transfinite ordinal numbers and transformed the infinite indices into ordinals by replacing  " with ?, the first transfinite ordinal number.
5. Later Cantor proved that even if the set " S " on which f is nonzero is infinite, but the transfinite ordinal numbers, which appeared as the subscripts " ? " in " S " " ? ".
6. It's difficult to find transfinite ordinal in a sentence. 用transfinite ordinal造句挺難的
7. Gentzen's proof is arguably finitistic, since the transfinite ordinal ? 0 can be encoded in terms of finite objects ( for example, as a Turing machine describing a suitable order on the integers, or more abstractly as consisting of the finite trees, suitably linearly ordered ).
8. For a consistent recursively axiomatized theory T, one can prove in finitistic arithmetic that the well-foundedness of a certain transfinite ordinal implies the consistency of T . G鰀el's second incompleteness theorem implies that the well-foundedness of such an ordinal cannot be proved in the theory T.