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==bugs me==
The definition of reversibility in terms of infinitesimal changes acting over
infinite time has always seemed to me something like defining 0/0.
I think some mathematicians should be brought in to examine this language.
In the Schaum's on thermodynamics, they put it as an "infinitesimal rate".
That is not the kind of language I ever encountered in calculus, though
Dirac delta functions were pretty out there.

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bugs me

The definition of reversibility in terms of infinitesimal changes acting over infinite time has always seemed to me something like defining 0/0. I think some mathematicians should be brought in to examine this language. In the Schaum's on thermodynamics, they put it as an "infinitesimal rate". That is not the kind of language I ever encountered in calculus, though Dirac delta functions were pretty out there.