Sentence examples for axioms from high-quality English sources.

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axioms sentence examples

  • There were two main candidates for new axioms that underwent intensive investigation in the 1970s and 1980s: Axioms of definable determinacy and large cardinal axioms.

  • The close connections between preference axioms and choice axioms can also be employed to construct a preference ordering from a choice function that satisfies certain axioms.

  • In particular, Hilbert demonstrates the consistency of various sub-groups of the axioms, the independence of a number of axioms from others, and various relations of provability and of independence of important theorems from specific sub-groups of the axioms.

  • In 1946 he proposed as new axioms large cardinal axiomsaxioms of infinity that assert that there are very large levels of the hierarchy of types—and he went so far as to entertain a generalized completeness theorem for such axioms, according to which all statements of set theory could be settled by such axioms (Gödel 1946, 151).


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    On this page, there are 20 sentence examples for axioms. They are all from high-quality sources and constantly processed by lengusa's machine learning routines.

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    • 18 sentence examples for axioms from Stanford Encyclopedia of Philosophy
    • 2 sentence examples for axioms from Encyclopedia Britannica

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