Definition of "cardinality" []

• Of a set, the number of elements it contains. (noun)
• 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. (noun)

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• "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.”"