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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
by rocqua 9y ago
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.
- Retra 9y agoA map can have details left out of it, while a territory cannot.
- kazinator 9y agoDifferent maps with different levels of detail can all be separate universes.
- pron 9y agoNo definition could equate mathematical isomorphism with physical equivalence. That is part of the philosophical claim of the monist Platonist.