Well, your discovery was certainly empirical.
The explanation is mathematical, having to do what you can do with an
oriented surface. BTW, did you take a picture when you put it on upside
down? I can visualize a couple of ways you could have done that, but if
you weren’t doing hand stands the pictures are not pretty.
—Barry
On 3 Sep 2021, at 11:23, thompnicks...@gmail.com wrote:
Colleagues,
Years ago, my daughter, who knows I hate to shop, bought me a bunch of
plain
T-shirts. The label's on the shirts were printed, rather than
attached, and
so have faded. Each morning, this leaves me with the problem of
decerning
which is the front and which the back of the shirt, and even, which
the
inside and which the out-. After years of fussing with these shirts I
decerned a pattern. Up/down, inside-in/inside-out, left/right,
front/back,
crossed arms/uncrossed arms, you can't do one transformation without
doing
at least one other.
Is this an empirical discovery or a mathematical one?
I guess it boils down to whether "front/back" entails in its meaning
another
transformation. Should we call empirical discoveries "discoveries"
and
mathematical discoveries "revelations"?
Nick
Nick Thompson
thompnicks...@gmail.com <mailto:thompnicks...@gmail.com>
https://wordpress.clarku.edu/nthompson/
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