Mathematicians who are finitists.

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Mathematicians who are finitists.

A Toy Windmill Offline

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#90

RE: Mathematicians who are finitists.

July 9, 2019 at 1:34 pm

(July 9, 2019 at 9:56 am)polymath257 Wrote: After thinking a bit, this does not quite prove the convergence since you need to show that
|x_n^2 -2|<eps for ALL n>=p where p is that smallest exponent.

Is there a finitistic definition that gets around this issue?

Yes, you're right, but that use of a quantifier is still legal.

n >= p implies that |x_n^2 - 2| <= 1/2^n <= 1/2^p < ε.

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Mathematicians who are finitists. - by Jehanne - April 2, 2019 at 8:49 am

RE: Mathematicians who are finitists. - by Fireball - April 2, 2019 at 10:08 am

RE: Mathematicians who are finitists. - by Jehanne - April 3, 2019 at 12:10 pm

RE: Mathematicians who are finitists. - by Smaug - April 4, 2019 at 4:49 pm

RE: Mathematicians who are finitists. - by Jehanne - April 5, 2019 at 3:14 pm

RE: Mathematicians who are finitists. - by Smaug - April 5, 2019 at 4:04 pm

RE: Mathematicians who are finitists. - by chimp3 - April 4, 2019 at 5:43 pm

RE: Mathematicians who are finitists. - by Sal - April 5, 2019 at 3:55 pm

RE: Mathematicians who are finitists. - by Jehanne - April 6, 2019 at 9:26 am

RE: Mathematicians who are finitists. - by Smaug - April 6, 2019 at 4:33 pm

RE: Mathematicians who are finitists. - by Jehanne - April 6, 2019 at 10:46 pm

RE: Mathematicians who are finitists. - by Smaug - April 7, 2019 at 1:49 pm

RE: Mathematicians who are finitists. - by Jehanne - April 7, 2019 at 3:52 pm

RE: Mathematicians who are finitists. - by Smaug - April 7, 2019 at 5:25 pm

RE: Mathematicians who are finitists. - by Jehanne - April 8, 2019 at 6:08 pm

RE: Mathematicians who are finitists. - by Little lunch - April 7, 2019 at 5:50 pm

RE: Mathematicians who are finitists. - by possibletarian - April 7, 2019 at 7:23 pm

RE: Mathematicians who are finitists. - by polymath257 - April 8, 2019 at 9:56 pm

RE: Mathematicians who are finitists. - by Fireball - April 9, 2019 at 10:32 am

RE: Mathematicians who are finitists. - by robvalue - April 9, 2019 at 6:18 am

RE: Mathematicians who are finitists. - by polymath257 - April 9, 2019 at 6:54 pm

RE: Mathematicians who are finitists. - by Jehanne - April 9, 2019 at 9:46 pm

RE: Mathematicians who are finitists. - by polymath257 - April 10, 2019 at 8:42 am

RE: Mathematicians who are finitists. - by Jehanne - April 10, 2019 at 8:59 am

RE: Mathematicians who are finitists. - by polymath257 - April 11, 2019 at 10:48 am

RE: Mathematicians who are finitists. - by Jehanne - April 11, 2019 at 11:09 am

RE: Mathematicians who are finitists. - by polymath257 - April 11, 2019 at 11:24 am

RE: Mathematicians who are finitists. - by Jehanne - April 11, 2019 at 2:13 pm

RE: Mathematicians who are finitists. - by polymath257 - April 11, 2019 at 3:33 pm

RE: Mathematicians who are finitists. - by Jehanne - April 11, 2019 at 3:39 pm

RE: Mathematicians who are finitists. - by polymath257 - April 11, 2019 at 5:17 pm

RE: Mathematicians who are finitists. - by Jehanne - April 14, 2019 at 7:15 am

RE: Mathematicians who are finitists. - by polymath257 - April 14, 2019 at 9:31 am

RE: Mathematicians who are finitists. - by Jehanne - April 14, 2019 at 12:07 pm

RE: Mathematicians who are finitists. - by polymath257 - April 14, 2019 at 1:38 pm

RE: Mathematicians who are finitists. - by Fireball - April 9, 2019 at 10:03 pm

RE: Mathematicians who are finitists. - by Jehanne - April 9, 2019 at 11:05 am

RE: Mathematicians who are finitists. - by robvalue - April 9, 2019 at 1:22 pm

RE: Mathematicians who are finitists. - by Sal - April 9, 2019 at 9:28 pm

RE: Mathematicians who are finitists. - by polymath257 - April 9, 2019 at 9:44 pm

RE: Mathematicians who are finitists. - by polymath257 - April 15, 2019 at 9:58 am

RE: Mathematicians who are finitists. - by LastPoet - April 15, 2019 at 12:32 pm

RE: Mathematicians who are finitists. - by polymath257 - April 15, 2019 at 5:06 pm

RE: Mathematicians who are finitists. - by LastPoet - April 16, 2019 at 12:58 pm

RE: Mathematicians who are finitists. - by Fireball - April 16, 2019 at 3:25 pm

RE: Mathematicians who are finitists. - by polymath257 - April 16, 2019 at 5:43 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - June 29, 2019 at 5:55 pm

RE: Mathematicians who are finitists. - by polymath257 - June 29, 2019 at 6:44 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - June 30, 2019 at 3:39 am

RE: Mathematicians who are finitists. - by Jehanne - June 30, 2019 at 12:03 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - June 30, 2019 at 1:10 pm

RE: Mathematicians who are finitists. - by LastPoet - June 30, 2019 at 1:30 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - June 30, 2019 at 1:47 pm

RE: Mathematicians who are finitists. - by Jehanne - June 30, 2019 at 3:34 pm

RE: Mathematicians who are finitists. - by polymath257 - July 1, 2019 at 2:02 pm

RE: Mathematicians who are finitists. - by Jehanne - July 2, 2019 at 7:50 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 2, 2019 at 9:12 am

RE: Mathematicians who are finitists. - by Jehanne - July 2, 2019 at 11:36 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 2, 2019 at 12:19 pm

RE: Mathematicians who are finitists. - by Jehanne - July 2, 2019 at 11:29 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - July 3, 2019 at 2:52 am

RE: Mathematicians who are finitists. - by Jehanne - July 3, 2019 at 11:51 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 3, 2019 at 1:14 pm

RE: Mathematicians who are finitists. - by Jehanne - July 3, 2019 at 10:06 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - July 4, 2019 at 3:42 am

RE: Mathematicians who are finitists. - by Jehanne - July 4, 2019 at 7:33 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 4, 2019 at 11:27 am

RE: Mathematicians who are finitists. - by polymath257 - July 4, 2019 at 11:24 am

RE: Mathematicians who are finitists. - by Fireball - June 29, 2019 at 10:00 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - June 30, 2019 at 1:23 pm

RE: Mathematicians who are finitists. - by LastPoet - July 1, 2019 at 2:38 pm

RE: Mathematicians who are finitists. - by polymath257 - July 2, 2019 at 1:45 pm

RE: Mathematicians who are finitists. - by Jehanne - July 4, 2019 at 6:46 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - July 5, 2019 at 1:33 am

RE: Mathematicians who are finitists. - by Jehanne - July 5, 2019 at 6:36 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 5, 2019 at 8:20 am

RE: Mathematicians who are finitists. - by Jehanne - July 5, 2019 at 9:09 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 5, 2019 at 10:50 am

RE: Mathematicians who are finitists. - by polymath257 - July 7, 2019 at 3:38 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 7, 2019 at 6:22 am

RE: Mathematicians who are finitists. - by Jehanne - July 8, 2019 at 7:05 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 8, 2019 at 8:19 am

RE: Mathematicians who are finitists. - by Jehanne - July 8, 2019 at 3:38 pm

RE: Mathematicians who are finitists. - by A Toy Windmill - July 9, 2019 at 2:54 am

RE: Mathematicians who are finitists. - by Jehanne - July 9, 2019 at 7:51 am

RE: Mathematicians who are finitists. - by polymath257 - July 9, 2019 at 9:56 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 9, 2019 at 1:34 pm

RE: Mathematicians who are finitists. - by polymath257 - July 10, 2019 at 4:55 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 10, 2019 at 6:10 am

RE: Mathematicians who are finitists. - by Jehanne - July 10, 2019 at 7:55 am

RE: Mathematicians who are finitists. - by polymath257 - July 10, 2019 at 8:34 am

RE: Mathematicians who are finitists. - by Jehanne - July 10, 2019 at 8:19 pm

RE: Mathematicians who are finitists. - by polymath257 - July 11, 2019 at 2:52 am

RE: Mathematicians who are finitists. - by Jehanne - July 11, 2019 at 9:30 am

RE: Mathematicians who are finitists. - by polymath257 - July 11, 2019 at 10:20 am

RE: Mathematicians who are finitists. - by A Toy Windmill - July 11, 2019 at 1:53 pm

RE: Mathematicians who are finitists. - by LastPoet - July 5, 2019 at 12:16 pm

RE: Mathematicians who are finitists. - by Jehanne - July 5, 2019 at 1:38 pm

RE: Mathematicians who are finitists. - by The Grand Nudger - July 5, 2019 at 2:00 pm

RE: Mathematicians who are finitists. - by Jehanne - July 9, 2019 at 2:29 pm

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