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The nature of number
#23
RE: The nature of number
(July 16, 2012 at 7:23 pm)jonb Wrote: You said this-

(July 16, 2012 at 2:14 pm)CliveStaples Wrote: The torus would be topologically distinguishable from a sphere--any loop enclosing the hole could not be shrunk to a point while remaining on the torus, whereas every loop on a sphere can be shrunk to a point.

What shape is a point?

I don't even know how to answer that. The notion of "shape" is incredibly general. Are you asking for an equation defining a point? What do you mean by "shape"?
“The truth of our faith becomes a matter of ridicule among the infidels if any Catholic, not gifted with the necessary scientific learning, presents as dogma what scientific scrutiny shows to be false.”
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Messages In This Thread
The nature of number - by jonb - July 10, 2012 at 8:02 am
RE: The nature of number - by Cato - July 10, 2012 at 12:17 pm
RE: The nature of number - by jonb - July 10, 2012 at 12:58 pm
RE: The nature of number - by Tobie - July 10, 2012 at 1:57 pm
RE: The nature of number - by Whateverist - August 24, 2012 at 10:49 am
RE: The nature of number - by jonb - July 10, 2012 at 2:06 pm
RE: The nature of number - by Cato - July 10, 2012 at 2:20 pm
RE: The nature of number - by Categories+Sheaves - July 10, 2012 at 6:25 pm
RE: The nature of number - by jonb - July 10, 2012 at 8:17 pm
RE: The nature of number - by Categories+Sheaves - July 12, 2012 at 6:15 am
RE: The nature of number - by Whateverist - August 26, 2012 at 10:11 am
RE: The nature of number - by jonb - July 12, 2012 at 6:02 am
RE: The nature of number - by jonb - July 12, 2012 at 8:10 am
RE: The nature of number - by Categories+Sheaves - July 12, 2012 at 3:02 pm
RE: The nature of number - by jonb - July 16, 2012 at 8:30 am
RE: The nature of number - by CliveStaples - July 16, 2012 at 2:14 pm
RE: The nature of number - by jonb - July 16, 2012 at 2:37 pm
RE: The nature of number - by CliveStaples - July 16, 2012 at 6:47 pm
RE: The nature of number - by jonb - July 16, 2012 at 7:00 pm
RE: The nature of number - by CliveStaples - July 16, 2012 at 7:17 pm
RE: The nature of number - by jonb - July 16, 2012 at 7:23 pm
RE: The nature of number - by CliveStaples - July 17, 2012 at 1:24 am
RE: The nature of number - by Categories+Sheaves - July 17, 2012 at 1:41 am
RE: The nature of number - by CliveStaples - July 17, 2012 at 1:51 am
RE: The nature of number - by Categories+Sheaves - July 17, 2012 at 3:14 am
RE: The nature of number - by CliveStaples - July 17, 2012 at 10:49 am
RE: The nature of number - by jonb - July 17, 2012 at 6:39 am
RE: The nature of number - by Angrboda - July 16, 2012 at 2:06 pm
RE: The nature of number - by jonb - July 16, 2012 at 6:15 pm
RE: The nature of number - by Angrboda - July 16, 2012 at 8:07 pm
RE: The nature of number - by Categories+Sheaves - July 17, 2012 at 7:56 pm
RE: The nature of number - by jonb - July 18, 2012 at 9:59 am
RE: The nature of number - by Angrboda - July 17, 2012 at 11:25 pm
RE: The nature of number - by jonb - July 18, 2012 at 10:40 am
RE: The nature of number - by Cato - July 18, 2012 at 12:59 am
RE: The nature of number - by Categories+Sheaves - July 18, 2012 at 1:21 am
RE: The nature of number - by jonb - July 18, 2012 at 6:13 am
RE: The nature of number - by Categories+Sheaves - July 18, 2012 at 10:05 am
RE: The nature of number - by jonb - July 19, 2012 at 11:44 am
RE: The nature of number - by Categories+Sheaves - July 28, 2012 at 3:22 am
RE: The nature of number - by jonb - July 28, 2012 at 8:17 am
RE: The nature of number - by Categories+Sheaves - July 28, 2012 at 12:52 pm
RE: The nature of number - by jonb - July 29, 2012 at 4:04 am
RE: The nature of number - by Categories+Sheaves - July 29, 2012 at 4:18 pm
RE: The nature of number - by CliveStaples - July 29, 2012 at 8:54 pm
RE: The nature of number - by Categories+Sheaves - July 29, 2012 at 9:17 pm
RE: The nature of number - by CliveStaples - July 30, 2012 at 2:39 am
RE: The nature of number - by Categories+Sheaves - July 30, 2012 at 5:33 am
RE: The nature of number - by jonb - August 1, 2012 at 11:26 am
RE: The nature of number - by Categories+Sheaves - August 1, 2012 at 4:53 pm
RE: The nature of number - by jonb - August 8, 2012 at 8:41 am
RE: The nature of number - by Categories+Sheaves - August 8, 2012 at 11:41 am
RE: The nature of number - by jonb - August 8, 2012 at 11:50 am
RE: The nature of number - by CliveStaples - August 9, 2012 at 8:23 am
RE: The nature of number - by jonb - August 24, 2012 at 7:43 am
The nature of number - by Categories+Sheaves - August 24, 2012 at 12:51 pm
RE: The nature of number - by jonb - August 26, 2012 at 4:30 pm
The nature of number - by Categories+Sheaves - August 26, 2012 at 5:13 pm
RE: The nature of number - by jonb - August 26, 2012 at 5:27 pm
RE: The nature of number - by jonb - September 3, 2012 at 10:47 am
RE: The nature of number - by Categories+Sheaves - September 3, 2012 at 6:52 pm
RE: The nature of number - by jonb - September 3, 2012 at 7:20 pm
The nature of number - by Categories+Sheaves - September 5, 2012 at 5:47 am
RE: The nature of number - by jonb - September 5, 2012 at 6:00 am
The nature of number - by Categories+Sheaves - September 5, 2012 at 6:19 am
RE: The nature of number - by jonb - September 5, 2012 at 6:29 am
RE: The nature of number - by Categories+Sheaves - September 7, 2012 at 12:12 am
RE: The nature of number - by jonb - September 7, 2012 at 1:31 am
RE: The nature of number - by Categories+Sheaves - September 11, 2012 at 2:32 pm
RE: The nature of number - by jonb - September 11, 2012 at 11:11 pm
RE: The nature of number - by Categories+Sheaves - September 12, 2012 at 4:19 am
RE: The nature of number - by jonb - October 4, 2012 at 7:56 am
RE: The nature of number - by Categories+Sheaves - October 5, 2012 at 5:26 am
RE: The nature of number - by jonb - October 10, 2012 at 6:07 am
The nature of number - by Categories+Sheaves - October 12, 2012 at 11:22 pm
RE: The nature of number - by CliveStaples - October 17, 2012 at 7:01 pm
RE: The nature of number - by Categories+Sheaves - October 18, 2012 at 1:31 am
RE: The nature of number - by jonb - October 12, 2012 at 11:30 pm
The nature of number - by Categories+Sheaves - October 13, 2012 at 3:27 am
The nature of number - by Categories+Sheaves - October 13, 2012 at 7:54 am
RE: The nature of number - by jonb - October 13, 2012 at 11:22 am
RE: The nature of number - by Categories+Sheaves - October 22, 2012 at 3:21 pm
RE: The nature of number - by jonb - October 28, 2012 at 11:02 pm

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