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Baughn comments on Open thread, Jan. 18 - Jan. 24, 2016 - Less Wrong Discussion

4 Post author: MrMind 18 January 2016 09:42AM

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Comment author: Gunnar_Zarncke 19 January 2016 07:21:17PM 0 points [-]

Can you describe it?

Comment author: Baughn 20 January 2016 03:48:12AM 1 point [-]

It's circular, and square.

That's literally all there is. I can't imagine it visually, the way I usually would. Wonder why. :P

Comment author: Gunnar_Zarncke 20 January 2016 07:00:21AM 0 points [-]

Alice laughed. 'There's no use trying,' she said. 'One can't believe impossible things.'

I daresay you haven't had much practice,' said the Queen. 'When I was your age, I always did it for half-an-hour a day. Why, sometimes I've believed as many as six impossible things before breakfast. There goes the shawl again!

― Lewis Carroll

See also this article discussing the usefulness of believing impossible things.

Comment author: roystgnr 20 January 2016 06:05:47AM 0 points [-]

I can imagine it. You just have to embed it in a non-Euclidean geometry. A great circle can be constructed from 4 straight lines, and thus is a square, and it still has every point at a fixed distance from a common center (okay, 2 common centers), and thus is a circle.

Comment author: gjm 20 January 2016 08:06:10AM 2 points [-]

The four straight lines in your construction don't meet at right angles.