"consistency" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- In the 19th century, the main method of proving the consistency of a set of axioms was to provide a model for it.
- But then to prove the consistency of that system one needs a yet more powerful system, and so on ad infinitum.
- He thought there was some meaning and truth in mathematics, which is precisely why he was trying to prove the consistency of number theory.
- This refuted Hilbert's assumption that a finitistic system could be used to prove the consistency of a stronger theory.
- A theory will be unable to prove the consistency of another theory with a higher proof theoretic ordinal.
- At that time, the main method for proving the consistency of a set of axioms was to provide a model for it.
- His goal was to prove the consistency of the real numbers.
- As such, any theorem, lemma, or property which establishes convergence in probability may be used to prove the consistency.
- The existence of a concrete model proves the consistency of a system.
- In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories.
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