home questions looks like is like not like modelling
posted by Jack Butler on November 09, 1999 at 08:31:43:
in reply to: ENS AB ALIO posted by Juan Geuer on November 09, 1999 at 08:12:08:


Goedel's Contention

Ever since I saw the notes on the blackboard that
you had set up during your presentation at last
year's Subtle Technology conference at
InterAccess, notes that you did not get to
discuss, I suspected that you turn to analytic
philosophy to find an anchor for your practices in
art and in science. I was so sorry your
presentation did not get so far as to explain your
intentions in presenting us with Kant's analytical
terms for his "Critique of Pure Reason". And now,
today, you start your response to our website
about the art and science of (embryological)
modelling with a reference to Goedel's theorem and
its influence over much contemporary thought. Your
(and Goedel's) conclusion that mathematics is not
a self-referential system (dispite what would seem
to be evidence to the contrary from the entire
tradition of analytic mathematical logic from
Frege to Russell), begs, I believe, a summary
statement of Goedel's contention. What was it that
Goedel discovered that so turned the course of
contemporary mathematics? I think, Juan, that if
anyone can make this idea accessible to our web
audience it will be you. With much appreciation
for joining our conversation, Jack



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