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Comment by j16sdiz

20 hours ago

> They care about if it’s true.

Not always.

If it is NOT true, they sometimes simply play "what if" and construct a new system where it could be true.

> If it is NOT true, they sometimes simply play "what if" and construct a new system where it could be true.

I trust you have some examples of this?

  • Complex numbers and Schwartz distributions (the thing the dirac delta is) come immediately to mind. “Not all numbers have square roots, but what if they did?” It seems like a common pattern.

  • I think they're talking about conjectures that are unproven but seem "likely true" and people build further math off the assumption. E.G Reimann hypothesis