Definition
Plain language
Having the same underlying shape or structure, even when the surface details are completely different.
As stated in the literature
Structure-preserving equivalence between two objects; in IsoSci, two problems are isomorphic when their solution procedures are step-for-step identical while their required facts are disjoint.
Why it matters: Recognizing that two differently-dressed problems share the same underlying structure lets you reuse one solution method across many surfaces.
For example, calculating how fast a dropped rock falls and how fast a bank balance grows can be isomorphic if the exact same equation and steps solve both, despite the different subjects.
Heard on the show
“That's what "isomorphic" means here: same shape.”Episode 197 — Twin Problems Suggest AI Reasoning Gains Are Mostly Better Fact Recall