axiom of choice वाक्य
उदाहरण वाक्य
मोबाइल
- Other uses of the axiom of choice are more subtle.
- All these are linked in one way or another to the axiom of choice.
- In 1964, model of NBG with global choice replaced by the axiom of choice.
- If the axiom of choice is not assumed we need to do something different.
- The proof requires either the axiom of choice or a weakened form of it.
- The answer to that question involves the axiom of choice.
- In the absence of the axiom of choice, the reverse implications are all unprovable.
- As far as I can tell, you're interpreting the axiom of choice as saying
- :: : : Using the axiom of choice is extremely ambitious in this context.
- This requires a suitable version of the axiom of choice.
- The continuum hypothesis and the axiom of choice, are examples of possible transcendental decision points.
- This has been used as an argument against the use of the axiom of choice.
- A form of the axiom of choice is a theorem, yet excluded middle is not.
- A parallel example uses the axiom of choice ( AC ) and ZF set theory.
- Two famous statements in set theory are the axiom of choice and the continuum hypothesis.
- In ZF without the axiom of choice, it is possible that every ultrafilter is principal.
- The proof of this requires the axiom of choice.
- The axiom of choice asserts the existence of such elements; it is therefore equivalent to:
- One of those proofs relies on ultraproducts hinging on the axiom of choice as follows:
- The properties of total boundedness mentioned above rely in part on the axiom of choice.
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