İngilizce
Almanca
Almanca
İngilizce
PONS OpenDict
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Tek dilli örnekler (PONS yazı işleri tarafından onaylanmamıştır)
The union involved need not be disjoint (a non-disjoint union can't be any bigger than the disjoint version, also assuming the axiom of choice).
en.wikipedia.org The existence of strong partition cardinals contradicts the axiom of choice.
en.wikipedia.org This definition assigns a representative to every cardinal number even when not every set can be well-ordered (an assumption equivalent to the axiom of choice).
en.wikipedia.org The statement that every vector space has a basis is equivalent to the axiom of choice.
en.wikipedia.org This has been used as an argument against the use of the axiom of choice.
en.wikipedia.org İnternetten örnekler (PONS yazı işleri tarafından onaylanmamıştır)
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www-madlener.informatik.uni-kl.de [ Additional Operators in F0, 8P ] To cope with formulas from the whole set F in the deductive system F0 we can introduce further axioms.
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[ Zusätzliche Operatoren in F0, 8P ] Um Formeln aus ganz F im deduktiven System F0 betrachten zu können, kann man weitere Axiome einführen.
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www-madlener.informatik.uni-kl.de If F = ( Ax, R ) is a deductive system with sound axioms ( i.e. the axioms are tautologies ) and sound rules, then F is sound.
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Ist F = ( Ax, R ) ein deduktives System mit korrekten Axiomen ( d.h. Tautologien als Axiome ) und korrekten Regeln, so ist F korrekt.
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www.informatik.uni-hamburg.de The emphasis of this project is put on the analysis of interactions between different sets of axioms from a mathematical point of view.
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Der Schwerpunkt dieses Projekts liegt auf der Analyse der Wechselwirkungen zwischen verschiedenen Mengen von Axiomen aus mathematischer Sicht.
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www-madlener.informatik.uni-kl.de I.e. if two terms t1 and t2 are equivalent in propositional logic and if an interpretation I satisfies your axioms, then I ( t1 ) = I ( t2 ) must hold.
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D.h. sind zwei Terme t1 und t2 äquivalent im Sinne der Aussagenlogik und erfüllt eine Interpretation I Ihre Axiome, dann soll I ( t1 ) = I ( t2 ) gelten.
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www.math.uni-bonn.de Further research has shown that some simple properties of infinite sets like “ how many real numbers are there ” are not decided by the Zermelo-Fraenkel axioms.
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Weitere Untersuchungen haben gezeigt, dass auch einfache kombinatorische Eigenschaften unendlicher Mengen wie die Frage wieviele reelle Zahlen gibt es? von den Zermelo-Fraenkelschen Axiomen nicht entschieden werden.
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