Michael Morley
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metalogicSatisfaction of a theory by a structure: finite and infinite models…1963 by the American mathematician Michael Morley, if a theory is categorical in any uncountable cardinality (i.e., any cardinality higher than the countable), then it is categorical in every uncountable cardinality. On the other hand, examples are known for all four combinations of countable and uncountable cardinalities: specifically, there are…
Read More…1963 by the American mathematician Michael Morley, if a theory is categorical in any uncountable cardinality (i.e., any cardinality higher than the countable), then it is categorical in every uncountable cardinality. On the other hand, examples are known for all four combinations of countable and uncountable cardinalities: specifically, there are…
Read More- metalogicGeneralizations and extensions of the Löwenheim-Skolem theorem
…theory is the theorem by Michael Morley, as follows:
Read More…theory is the theorem by Michael Morley, as follows:
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