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A large cardinal axiom is an axiom stating that there exists a cardinal (or perhaps many of them) with some specified large cardinal property. Most working set theorists believe that the large cardinal axioms that are currently being considered are consistent with ZFC. [ 2 ] These axioms are strong enough to imply the consistency of ZFC.
Armstrong's axioms are a set of axioms (or, more precisely, inference rules) used to infer all the functional dependencies on a relational database. They were developed by William W. Armstrong in his 1974 paper. [1] The axioms are sound in generating only functional dependencies in the closure of a set of functional dependencies (denoted as ...
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The probability of an event is a non-negative real number: where F is the event space. It follows (when combined with the second axiom) that P E is always finite, in contrast with more general measure theory. Theories which assign negative probability relax the first axiom.
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