dbaupp comments on Rationality Quotes May 2012 - Less Wrong

6 Post author: OpenThreadGuy 01 May 2012 11:37PM

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Comment author: dbaupp 04 May 2012 06:44:39AM *  3 points [-]

I don't understand. Continents are just big islands, they have shorelines too.

Comment author: DanArmak 04 May 2012 03:17:50PM 3 points [-]

If a continent takes up more than half the world, then the shorter the shoreline, the bigger the continent.

Comment author: dlthomas 04 May 2012 06:56:09PM 2 points [-]

But the cutoff is obviously not "continent"/"not continent", but rather "takes up more than half the world" versus "doesn't take up more than half the world" - possibly with an additional constraint of a sufficiently simple shoreline...

Comment author: DanArmak 04 May 2012 09:53:02PM 1 point [-]

"Continent" vs. "island" is an arbitrary line, a matter of definition. Whereas smaller/bigger than half the world is precise and objective.

Comment author: chaosmosis 04 May 2012 06:49:22PM -1 points [-]

Geometry. Big areas with less big corresponding perimeters.

Comment author: dbaupp 05 May 2012 01:08:52AM *  3 points [-]

This is answer is about as informative as answering "Why do aeroplanes fly?" with "Calculus. Differential equations with forces.".

If you are talking about continents larger than half the world, then DanArmak has already pointed it out and much more politely. However, as dlthomas points out the distinction is not based on it being a continent or not, but on it covering more than half the word.

Also, everything we call a continent on Earth takes up less than half of it, and for such things there is a minimum perimeter that increases as the area increases. (The minimum perimeter is something a little bit like 2*sqrt(pi*Area) (except different because the Earth is a sphere rather than a plane).)

Comment author: arundelo 05 May 2012 02:00:33AM 1 point [-]

Were you trying to point out that the shoreline's length varies as the square root of the size of the island?

Comment author: TheOtherDave 05 May 2012 03:06:21AM 1 point [-]

Doesn't that depend a lot on how convoluted the shoreline is?

Comment author: arundelo 05 May 2012 03:55:52AM 2 points [-]

Yes, but only if the shape varies too.

Comment author: dlthomas 05 May 2012 04:31:53AM 0 points [-]

I'm not sure immediately what it means for the shape not to vary if you are growing a complexly shaped island on a sphere.

Comment author: arundelo 05 May 2012 04:35:42AM *  1 point [-]

You're right. I was imagining it on a plane.

Edit: Only later did I look at this comment out of context and start daydreaming about making some sort of Snakes on a Plane joke.