cardinality

• “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).”

  A Short Critique of Bradley Monton's Paper

• “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.”

  The Early Development of Set Theory

• “(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.””

  Vienna Circle

• “At recess, one boy, Joshua, used a pointer to illustrate a math concept known as cardinality, by completing place settings on a whiteboard.”

  NYT > Home Page

• “One boy, Joshua, used a pointer to illustrate a math concept known as cardinality, by completing place settings on a whiteboard.”

  KansasCity.com: Front Page

• “Needless to say, general relativity has models which employ the cardinality of the continuum, hence general relativity will possess models of every cardinality.”

  Mathematical logic and multiverses

• “(In the case of a complete theory, the models of different cardinality will be elementarily equivalent, even if they are non-isomorphic).”

  Mathematical logic and multiverses

• “The latter entails that any theory which has a model of any infinite cardinality, will have models of all infinite cardinalities.”

  Mathematical logic and multiverses

• “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.”

  Mathematical logic and multiverses

• “We are talking about the cardinality of the null set here.”

  None is, none are: Grammar according to Clarkson « Motivated Grammar

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