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Traduções para „axiom of choice“ no dicionário Inglês » Alemão (Salte para Alemão » Inglês)

axiom of choice SUBST

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However, specifying an isomorphism requires the axiom of choice.
en.wikipedia.org
Such theorems may depend on non-constructive foundational material such as the axiom of infinity, the axiom of choice, or the law of excluded middle.
en.wikipedia.org
Meanwhile, the negation of the axiom of choice is, curiously, an NF theorem.
en.wikipedia.org
The band was named after the mathematical concept, the axiom of choice.
en.wikipedia.org
As this could be done for any proposition, this completes the proof that the axiom of choice implies the law of the excluded middle.
en.wikipedia.org
Assuming the axiom of choice, the union of a countable set of countable sets is itself countable.
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The statement that every vector space has a basis is equivalent to the axiom of choice.
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Furthermore, assuming the axiom of choice, the free abelian groups are precisely the projective objects in the category of abelian groups.
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Indeed, their existence is a non-trivial consequence of the axiom of choice.
en.wikipedia.org
References to particular axioms typically then occurs only when tradition demands it, e.g. the axiom of choice is often mentioned when used.
en.wikipedia.org

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