Mathematical Universe Cheat Sheet Baggage Concepts and words that are invented by us humans for convenience, which aren’t necessary for describing the external physical reality Mathematical structure Set of abstract entities with relations between them; can be described in a baggage-independent way Equivalence Two descriptions of mathematical structures are equivalent if there’s a correspondence between them that preserves all relations; if two mathematical structures have equivalent descriptions, they are one and the same Symmetry The property of remaining unchanged when transformed; for
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