Gödel's FIT (1931)

Following on from Sheafification of G - On the Use Of Cack-eulators in Skool:

There is a web site: https://jamesrmeyer.com/ffgit/godel-original-english#PROP-VI. See also Martin Hirzel's translation:

The key word is effectively, which is omitted from James R Meyer's translation: 


But present in the original:


This matters, because it shows how Gödel's proof rests on fixing the representation, without this nothing significant results, but the representation is arbitrary! See John Searle - Syntax is Observer-Relative and John Searle's Chinese Room Argument.

It is this idea of Gödel's which is the origin of Church and Kleene's notion of realization. 

 

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