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First order meta theories
Logic Journal of the IGPL 5 (1):97-144 (1997)
Abstract
Ian Mason [25] has shown that the meta-theory of propositional calculus is not axiomatizable. That is not to say that its meta-theory cannot be studied. There may be a sequence of theories, indexed by the ordinals, which encompass the entire meta-theory. The same goes for other forms of logic too. Herein is proposed one candidate for such a sequence, for a wide range of logicsMy notes
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