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And none of those are scientific inquiries where I proffer rigorous methodology.

But it obviously works, I did not confuse the ship and the plank or you and the TV series, which tells us that identity is a useful concept we can use to navigate the world. The fact, that it may be hard to formalize the concept and deal with all the edge cases, does not change that.

Yet various exact scientific inquiries work very well without assuming it's existence or that there be a difference between same and different identity.

Can you provide any example?

It is a very simple problem. The answer is: “identity is a pseudoscientific concept that is “not even wrong”.”.

It is so vague, so bereft of any definition that the claim of whether that two references share the same identity is “not even wrong”.

I am pretty sure people doing homotopy type theory [1] would disagree. And I am just picking this because it has gotten quite a bit of attention in recent years but people have put a lot of work into thinking about identity and equality over the centuries.

And that is why the various models of exact sciences typically to not require that such arbitrary lines be drawn of what is and isn't a different “thing”.

Same as above, I would like to hear an example.

[1] https://en.wikipedia.org/wiki/Homotopy_type_theory



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