axiom of choice वाक्य
उदाहरण वाक्य
मोबाइल
- There are models of ZF in which the axiom of choice fails.
- If the axiom of choice holds, then every successor cardinal is regular.
- Without the axiom of choice, there are cardinals which cannot be well-ordered.
- The construction of " f " relies on the axiom of choice.
- However, these may all be different if the axiom of choice fails.
- Indeed, their existence is a non-trivial consequence of the axiom of choice.
- The Axiom of Choice can be proven from the well-ordering theorem as follows.
- One consequence of Shoenfield's theorem relates to the axiom of choice.
- Meanwhile, the negation of the axiom of choice is, curiously, an NF theorem.
- But none of these theorems actually proves that the axiom of choice holds.
- Hence this statement is strictly weaker than the axiom of choice.
- This follows from Zorn's lemma, an equivalent formulation of the Axiom of Choice.
- If the axiom of choice holds, every cardinal number has an initial ordinal.
- For example, the MIT for rings implies the axiom of choice.
- Thus the axiom of choice is not generally available in constructive set theory.
- This theorem does not rely on the axiom of choice.
- The status of the axiom of choice varies between different varieties of constructive mathematics.
- The well-ordering principle is equivalent to the axiom of choice.
- This second definition makes sense without the axiom of choice.
- He continues to be involved with Axiom of Choice and with the Dastan ensemble.
axiom of choice sentences in Hindi. What are the example sentences for axiom of choice? axiom of choice English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.