Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
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Berka I 481
Properties/class/definability/Tarski: a property P of a class is only defined if there is an propositional function that determines E.
>Propositional functions.
Then you can show that there are other properties of classes: e.g. emptiness, containing only one element, two , etc.
>Cardinality.
Tarski: Problem: to contain infinitely many elements is not defined.(1)
>Element relation, >Sets, >Subsets, >Set theory.


1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol. 1, Lemberg 1935

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