Примери коришћења The axiom на Енглеском и њихови преводи на Српски
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In fact, Zermelo initially introduced the axiom of choice in order to formalize his proof of the well-ordering theorem.
Contemporary set theorists also study axioms that are not compatible with the axiom of choice, such as the axiom of determinacy.
He proved that Zermelo-Fraenkel set theory together with the Generalized continuum hypothesis imply the Axiom of choice.
computer science that use it, the axiom of pairing is one of the axioms of Zermelo- Fraenkel set theory.
Unlike the axiom of choice, these alternatives are not ordinarily proposed as axioms for mathematics,
His 1920 proof employed the axiom of choice, but he later(1922
He proved that Zermelo- Fraenkel set theory together with the Generalized continuum hypothesis imply the Axiom of choice.
With this alternate notion of choice function, the axiom of choice can be compactly stated as.
Protestantism's scriptural principle finds expression in the axiom Ecclesia reformata sed semper reformanda,"a church reformed but always open to further reformation.".
Another argument against the axiom of choice is that it implies the existence of counterintuitive objects.
computer science that use it, the axiom of infinity is one of the axioms of Zermelo-Fraenkel set theory….
develop most of classical calculus, while using neither the axiom of choice nor proof by contradiction,
Without the axiom of choice, one cannot assert that such a function exists for pairs of socks,
Without the axiom of choice, one cannot assert that such a function exists for pairs of socks,
This set C is again unique by the axiom of extensionality, and is denoted{A1,…,An}.
a phenomenon that dismays Jews raised on the axiom that progressivism is sympathetic to Jews.
equivalent to, or stronger than the axiom of choice, depending on the strength of the technical foundations.