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Topic: Infinitary


In the News (Thu 16 Feb 12)

  
  Infinitary Logic (Stanford Encyclopedia of Philosophy)
In §1 the basic syntax and semantics of infinitary languages are laid down; their expressive power is then displayed by means of examples.
We remarked at the beginning that infinitary languages were suggested by the possibility of thinking of formulas as set-theoretical objects, so let us try to obtain our coding structure by thinking about what kind of set-theoretical objects we should take infinitary formulas to be.
Infinitary propositional and predicate languages seem to have made their first explicit appearance in print with the papers of Scott and Tarski [1958] and Tarski [1958].
plato.stanford.edu /entries/logic-infinitary   (6676 words)

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