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A comment on Is the Universe Made of Math?. Parent comment

Re:Is the Universe Made of Math? by rocqua on Saturday July 01, 2017 @04:45PM (#14678918)
A map that leaves out no details is, by definition, equivalent or 'isomorphic' to the territory.

Equivalence is a weird concept though. Is the factor group O(3)/SO(3) equivalent to Z/2Z? As a group, the answer is yes. As transformations of R^3, most definitely not.

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Re:Is the Universe Made of Math? by pron on Saturday July 01, 2017 @07:09PM (#14679613)
No definition could equate mathematical isomorphism with physical equivalence. That is part of the philosophical claim of the monist Platonist.
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Re:Is the Universe Made of Math? by Retra on Saturday July 01, 2017 @06:30PM (#14679424)
A map can have details left out of it, while a territory cannot.
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Re:Is the Universe Made of Math? by kazinator on Sunday July 02, 2017 @10:41AM (#14682669)
Different maps with different levels of detail can all be separate universes.
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