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Fhyve comments on Bad Concepts Repository - Less Wrong Discussion

20 Post author: moridinamael 27 June 2013 03:16AM

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Comment author: Fhyve 02 July 2013 05:03:01AM 1 point [-]

Nitpick: I would consider the Weierstrass function a different sort of pathology than non-standard models or Banach-Tarski - a practical pathology rather than a conceptual pathology. The Weierstrass function is just a fractal. It never smooths out no matter how much you zoom in.

Comment author: Stabilizer 02 July 2013 05:26:38AM 1 point [-]

I agree that the Weierstrass function is different. I felt a tinge of guilt when I included the Weierstrass function. But I included it since it's probably the most famous pathology.

That being said, I don't quite understand the distinction you're making between a practical and a conceptual pathology. The distinction I would make between the Weierstrass and the other two is that the Weierstrass is something which is just counter-intuitive whereas the other two can be used as a reason to reject the entire theory. They are almost antithetical to the purpose of the theory. Is that what you were getting at?