This paper is surprisingly hard to google for, but thanks to trusty old Pinboard I found it again! Here is a neat physics example of a classical system (no quantum shenanigans) that is indeterminate. The ball could sit there for eons or for a femtosecond http://www.pitt.edu/~jdnorton/Goodies/Dome/index.html …
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Hmmm. Realized my initial comment was too quick by half, so deleted it. I get the tricky point here where ODE uniqueness thms fail; that said, I’d hesitate to conclude anything other than that this is a mathematical curiosity. Interesting to think through tho; thanks for posting.
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No worries; glad you found it interesting!
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