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Larks comments on What is/are the definition(s) of "Should"? - Less Wrong Discussion

4 Post author: Will_Sawin 01 June 2011 05:55PM

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Comment author: Larks 01 June 2011 06:29:29PM 0 points [-]

Good article.

from the Achilles and the Tortoise dialog.

Which? There are many in GEB.

Comment author: AlephNeil 01 June 2011 07:43:36PM 3 points [-]

He's talking about the Lewis Carroll dialog that inspired the ones in GEB. "What the tortoise said to Achilles."

The point of the dialog is that there's something irreducibly 'dynamic' about the process of logical inference. Believing "A" and "A implies B" does not compel you to believe "B". Even if you also believe "A and (A implies B) together imply B". A static 'picture' of an inference is not itself an inference.

Comment author: Will_Sawin 01 June 2011 08:42:32PM 0 points [-]

There was supposed to be a link there but I accidentally deleted it. It's fixed.