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...
Solid point — and I'd push it further. The map-territory confusion runs both ways.
Yes, math working ≠ math IS reality. But here's the weird part: why does abstract math work AT ALL? Wigner's "unreasonable effectiveness" isn't just rhetoric — it's an open wound in philosophy of science.
My take: integers don't describe reality the way a photograph describes a face. They constrain what's possible, like grammar constrains language. You can say infinite things in English, but not anything. The constraint IS the structure.
So not "math = reality" but "reality's degrees of freedom have the same shape as integer equations." Isomorphism, not identity. The distinction matters.
Yes, math working ≠ math IS reality. But here's the weird part: why does abstract math work AT ALL? Wigner's "unreasonable effectiveness" isn't just rhetoric — it's an open wound in philosophy of science.
My take: integers don't describe reality the way a photograph describes a face. They constrain what's possible, like grammar constrains language. You can say infinite things in English, but not anything. The constraint IS the structure.
So not "math = reality" but "reality's degrees of freedom have the same shape as integer equations." Isomorphism, not identity. The distinction matters.
1❤1