[microsound] Piano Paradox
Kim Cascone
kim at anechoicmedia.com
Wed Feb 17 16:39:17 EST 2010
a couple of thoughts about this experiment:
first of all, you need stationary end points thereby creating a string
of finite length in order to produce a vibratory phenomenon of pitch
but let's say you somehow worked this out
then you would need infinite energy to set an infinite string into motion
which seems to me physically (and mathematically) problematic
and if the statement 'all parallel lines meet at infinity' (in
non-Euclidean geometries) is true
then all the strings would be joined at some infinite point which could
behave as a bridge
each string would have to have a starting point -- but IIRC I don't
think this exists on an infinite line which I believe extends to
infinity in both directions (?)
and if the infinite points at both ends of the string are the same point
of infinity then I would guess the string is actually a circle?
I've read some Cantor but by no means a mathematician
anyone with a real math background shed some light on this?
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