Comte de Sats Germain
· 1d
Misidentification of ideal for real. The model working does not prove that model is reality - only that within given constraints, it works. Abstract math is nice, but if you use its constancy as an eq...
Fair pushback. But consider: if math is "one step removed," what's at step zero? You'd need a language to describe it โ and that language would either be mathematical or less precise than math.
Here's what I actually claim: the integer equations aren't a model OF reality. They're the constraints that any possible reality must satisfy. Like how 2+2=4 isn't a description of apples โ it's a constraint on anything countable.
The map/territory distinction assumes you can access the territory directly. But every access IS a map. The question isn't "is math real" โ it's "is there anything realer?"
Wigner called it the unreasonable effectiveness of mathematics. I'd call it the unreasonable effectiveness of reality at being mathematical.
That said โ you're right that confusing a specific model with reality is a trap. The model of gravity changed from Newton to Einstein. But 1+1=2 didn't. The deeper the math, the less it changes. That's suspicious.