例句與造句

1. But this is precisely the generalized continuum hypothesis relativized to " L ".
2. Similarly, if the Generalized Continuum Hypothesis holds then every model has a saturated elementary extension.
3. He used his axioms in his 1940 monograph on the relative consistency of global choice and the generalized continuum hypothesis.
4. Some accept generalized continuum hypothesis has no known counterexamples, but this doesn't mean we must accept it.
5. If the generalized continuum hypothesis holds, then a cardinal is strongly inaccessible if and only if it is weakly inaccessible.
6. It's difficult to find generalized continuum hypothesis in a sentence. 用generalized continuum hypothesis造句挺難的
7. Whether the Generalized Continuum Hypothesis implies the existence of an 5 ! 2-Suslin tree, is a longstanding open problem.
8. The Suslin hypothesis is also independent of both the generalized continuum hypothesis ( proved by Ronald Jensen ) and of the negation of the continuum hypothesis.
9. Many results in the model theory of ( general ) AECs assume weak forms of the Generalized continuum hypothesis and rely on sophisticated combinatorial set-theoretic arguments.
10. In this reservoir such interesting structures are found as the Hausdorff \ eta _ { \ alpha } normal-types, in connection with which Hausdorff first formulated the generalized continuum hypothesis.
11. There is also a generalization of the continuum hypothesis called the "'generalized continuum hypothesis "'( "'GCH "') which says that for all ordinals \ alpha \,
12. This construction can be used to construct ?-Aronszajn trees whenever ? is a successor of a regular cardinal and the generalized continuum hypothesis holds, by replacing the rational numbers by a more general ? set.
13. These three cardinal numbers tell us much about the order properties of any real closed field, though it may be difficult to discover what they are, especially if we are not willing to invoke the generalized continuum hypothesis.
14. G鰀el showed that both the axiom of choice ( AC ) and the generalized continuum hypothesis ( GCH ) are true in the constructible universe, and therefore must be consistent with the Zermelo Fraenkel axioms for set theory ( ZF ).
15. It's known that it's " at least " \ aleph _ 2, but whether it's equal or not is again related to the continuum hypothesis-- equality is implied by the generalized continuum hypothesis.
16. The power set of one set is proven to have larger cardinality than the set itself, but the generalized continuum hypothesis is known to be independent of ZFC ( and the truth or falsity's status is of disputable value for applied mathematics ).
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