How different is it to say, the behaviors of electricity are tangible metaphors for hydraulics

remove the implication of oversimplification.
A really good metaphor is an analogy or a synonym. Look at physical systems: How different is it to say, the behaviors of electricity are tangible metaphors for hydraulics for example?

We’re accustomed to a split between literary metaphor and the numbers. Yet, I believe they’re in the same family (more metaphors, see?). Metaphors are for sensemaking. Numbers are for sensemaking. Numbers oversimplify reality in a specific way, allowing us to ignore MANY MANY MANY details in order to focus on even DEEPER metaphors hidden within.

We use different terms for convenience but if you remove the implication (not the definition, mind you) of “oversimplification” or “error” and allow the metaphor to be an abstraction of equivalence (yet not necessarily equal) – mathematics falls into metaphors without any need for change.

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