[FOM] Remark on Paradoxes
Michael Kremer
kremer at uchicago.edu
Fri Jul 14 10:41:03 EDT 2006
Harvey Friedman provides a three point analysis of the origin of Paradox,
and claims that Russell's paradox is a case in point. According to the
proposed analysis, there must be "some fundamental principles surrounding
certain concepts that are seen to be essential, and people use them to good
effect" and "there are some obvious extensions of these principles" which
turn out to be inconsistent.
I would appreciate some enlightenment as to what is intended with regard to
Russell's paradox. What are the "obvious principles," what are the
"certain concepts" they "surround" and are "essential" to, and what are the
"obvious extensions" of those principles which lead to inconsistency? I
have my guesses, but I am not sure. in particular I am not sure where the
"obvious principles" I am guessing at are "used to good effect."
--Michael Kremer
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