(October 10, 2012 at 6:07 am)jonb Wrote: I think I may have distilled my difficulty.The sense in which you're using series is still not entirely clear to me. But are these two things equivalent as sets? If we're talking about all the real numbers between 6 and 7 or all the relevant points in such-and-such region of euclidean space, then no, the first set is strictly bigger than the second one.
Is a series of all the numbers between two points say 6 to 7 thought of as the same as say an infinity of (to use Cantor) multiples of three? Are these thought of as different categories of series?
I don't think they are the same sort of series.
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The nature of number
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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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