POV-Ray : Newsgroups : povray.off-topic : Quotable : Re: Quotable Server Time
8 Sep 2024 09:14:30 EDT (-0400)
  Re: Quotable  
From: Darren New
Date: 2 Jun 2008 16:09:08
Message: <48445364$1@news.povray.org>
Mueen Nawaz wrote:
> http://en.wikipedia.org/wiki/Tarski%27s_circle-squaring_problem

Interestingly, following the links from there to 
http://en.wikipedia.org/wiki/Non-measurable_subset give an example of 
what might be a reality inconsistent with math:

"""
These sets are rich enough to include every conceivable definition of a 
set that arises in standard mathematics, but they require a lot of 
formalism to prove that sets are measurable.
"""

So if reality actually includes non-measurable sets (something that 
wouldn't seem too impossible, given the definition, such as "space where 
you can't pick any random position", i.e., quantum space), you already 
have a serious problem.

-- 
   Darren New / San Diego, CA, USA (PST)
     "That's pretty. Where's that?"
          "It's the Age of Channelwood."
     "We should go there on vacation some time."


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