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• ##### Bullshit! I'll show you the map right now(1+ / 0-)
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BoogieMama

& I don't even need a full "euclidean solid".

Take a sphere of any radius R>0. Set it down on the infinite plane at any point on the plane. Pick any point on the plane. Draw a line between it & the center of the sphere. The point on the surface of the sphere where that line intersects it defines the mapping of that point.

And I only used half the sphere.

So long as both the plane and the surface of the sphere are defined as continuous--i.e., that for any two points no matter how close together there is always at least one point between them--this mapping is one-to-one: for every point on the plane, there exists a unique point on the sphere it maps to, and vice versa.

Note that I do not dispute the point you were trying to make (that infinite growth is impossible with finite resources). I am simply pointing out that, presumably out of ignorance, you have put forth an analogy that most any undergraduate math student could rapidly demonstrate is flat-out wrong (took me all of 90 seconds, & I haven't done any theoretical math for decades) & will simply get you laughed at by anyone who actually knows the field.

Essentially you pulled a Full Romney here: You tried to sound smart & snappy & instead showed you didn't comprehend what you were talking about.

Anyone else out there who's tempted to make a technical argument in a discipline s/he doesn't understand should take to heart Abelson's Fourth Law:

Don't talk Greek if you don't know the English translation.

Fuck the mythical “moral high ground”. There’s plenty of time to shower after the election. (h/t danah gaz (fka gaz) @ Balloon-Juice)

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