Delusions and occasional bleak truth
- From: Venkat Reddy <vreddyp@xxxxxxxxx>
- Date: Mon, 26 Nov 2007 19:34:28 -0800 (PST)
Today's Calvin & Hobbes comic has this final statement from Calvin:
"Isn't it sad how people grip on their lives is so precarious that
they'll embrace any preposterous delusion rather than face an
occasioanl truth". Though Calvin was wrong in the context of the
comic, this seems to be true with us to some extent.
I would say any branch of mathematics (topology etc) which desires to
model physical continuum and depends on the notion of "open and closed
intervals of continuum" needs clean up. Because by allowing those open
and close notions, we are modeling only descretum by assuming that it
is possible to strip off zero extent boundaries from their regions.
Why we can't strip off boundaries? because you can't subtract dogs
from kilometers. Regions are of one dimension higher than their
boundaries.
- venkat
.
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