- n. set theory Of a set, the number of elements it contains.
- n. data modeling The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
- n. (mathematics) the number of elements in a set or group (considered as a property of that grouping)
- cardinal + -ity (Wiktionary)
“For example, it certainly depends on whether your set of trials is countably infinite or uncountably infinite (in other words the cardinality of your set of trials).”
“Thus, if you write card (N) = µ 0 (read: aleph sub zero), his theorems justified calling the cardinality of the “second number class” µ 1.”
“(Newman 1928, 144) To see how this so-called cardinality constraint applies to ramseyfications of theories, note that in Carnap's hands, the non-observational part of reconstructed theories, their theoretical entities, were represented by “purely logico-mathematical entities, e.g. natural numbers, classes of such, classes of classes, etc.””
“At recess, one boy, Joshua, used a pointer to illustrate a math concept known as cardinality, by completing place settings on a whiteboard.”
“One boy, Joshua, used a pointer to illustrate a math concept known as cardinality, by completing place settings on a whiteboard.”
“Needless to say, general relativity has models which employ the cardinality of the continuum, hence general relativity will possess models of every cardinality.”
“(In the case of a complete theory, the models of different cardinality will be elementarily equivalent, even if they are non-isomorphic).”
“The latter entails that any theory which has a model of any infinite cardinality, will have models of all infinite cardinalities.”
“Models of different cardinality obviously cannot be isomorphic, hence any theory, complete or incomplete, which has at least one model of infinite cardinality, will have a multiverse associated with.”
“We are talking about the cardinality of the null set here.”
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