axiom of choice sentence in Hindi

Examples

1. The continuum hypothesis and the axiom of choice, are examples of possible transcendental decision points.
2. This has been used as an argument against the use of the axiom of choice.
3. A form of the axiom of choice is a theorem, yet excluded middle is not.
4. A parallel example uses the axiom of choice ( AC ) and ZF set theory.
5. Two famous statements in set theory are the axiom of choice and the continuum hypothesis.
6. In ZF without the axiom of choice, it is possible that every ultrafilter is principal.
7. The proof of this requires the axiom of choice.
8. The axiom of choice asserts the existence of such elements; it is therefore equivalent to:
9. One of those proofs relies on ultraproducts hinging on the axiom of choice as follows:
10. The properties of total boundedness mentioned above rely in part on the axiom of choice.