[FOM] Platonism and metamathematics
pratt at cs.stanford.edu
Mon Apr 26 19:47:10 EDT 2010
Is there anything Platonic about metamathematics, e.g. as envisaged by
Kleene (*Introduction to Metamathematics*, NH, 1952), or Rasiowa and
Sikorski (*The Mathematics of Metamathematics*, 1963), or Halmos
(*Algebraic Logic*, 1962), or Tarski (cf. Blok and Pigozzi's "Alfred
Tarski's Work on General Metamathematics", JSL 53:1, 36-50), etc?
If not then what makes it less Platonic than mathematics?
If so then how does one go about differentiating the Platonism of
mathematics from that of metamathematics?
Or is there no difference?
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