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The same facts are compatible with different simple theories... that all retrodict the facts exactly and make isomorphic future predictions?https://twitter.com/SteveStuWill/status/1069756255835586560 …
I know this is pedantic and spoilsport, but the quibble matters. Equally regular-looking theories that exactly fit the past facts often do not give different predictions for the future. Hence the whole issue with “interpretations” of quantum mechanics.
The classic rabbit-versus-duck picture exhibits different informal theories that both messily fit the data. Pedantically, that *is* a substantive difference about when to warn people to beware the unconsidered alternative explanations.
Is there a name for models like these that gives isomorphic predictions?
I was wondering that too. I don't know of one? Would be nice to have terms for both "two equivalent models" and "an equivalence class of models that give isomorphic predictions (even if the models aren't equally simple or regular)".
I don't know if this applies, but Artem Kaznatcheev https://egtheory.wordpress.com/ would probably classify these types of models as interchangeable 'abstrations' as opposed to 'hueristic models' or 'idealizations.'
Charitably: the dots represent the easily-observed part of the phenomenon, and the lines are hard-to-detect but important actually-in-the-map parts that we want to predict (maybe they're deadly lasers).
Argh I meant actually-in-the-territory, not actually-in-the-map. Hard to distinguish those two sometimes.
We often confuse model with reality. For example air waves. We have a pretty good model with pressure differentials propagating. But we shouldn’t forget that pressure, air or sound is a name we come up to make reality possible to reason about.
In this particular example I think maybe yes? On a related note is the work of W. V. Quine of interest in your circles?
In this example, certainly. Of course, it was carefully designed for this very purpose
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