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Mathematicians who are finitists.
#68
RE: Mathematicians who are finitists.
(July 3, 2019 at 1:14 pm)A Toy Windmill Wrote:
(July 3, 2019 at 11:51 am)Jehanne Wrote: What mathematical constructions are infinite?

All uncomputable reals, which is most of them according to classical mathematics. We might argue that such things are not "constructions", in which case, swap "mathematical object" for "mathematical construction" in my previous posts.

My point is that Cantor, using a finite number of symbols, proved that some infinite sets (the Reals) are infinite and uncountable:

Wikipedia -- Cantor's diagonal argument

The rational numbers are, however, countable:

Wikipedia -- Countable set

And, so, what's the issue here?  Is finitism any different than Creationism?
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Messages In This Thread
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 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 polymath257 - June 29, 2019 at 6:44 pm
RE: Mathematicians who are finitists. - by Jehanne - June 30, 2019 at 12:03 pm
RE: Mathematicians who are finitists. - by LastPoet - June 30, 2019 at 1:30 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 Jehanne - July 2, 2019 at 11:36 am
RE: Mathematicians who are finitists. - by Jehanne - July 2, 2019 at 11:29 pm
RE: Mathematicians who are finitists. - by Jehanne - July 3, 2019 at 11:51 am
RE: Mathematicians who are finitists. - by Jehanne - July 3, 2019 at 10:06 pm
RE: Mathematicians who are finitists. - by Jehanne - July 4, 2019 at 7:33 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 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 Jehanne - July 5, 2019 at 6:36 am
RE: Mathematicians who are finitists. - by Jehanne - July 5, 2019 at 9:09 am
RE: Mathematicians who are finitists. - by polymath257 - July 7, 2019 at 3:38 am
RE: Mathematicians who are finitists. - by Jehanne - July 8, 2019 at 7:05 am
RE: Mathematicians who are finitists. - by Jehanne - July 8, 2019 at 3:38 pm
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 polymath257 - July 10, 2019 at 4:55 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 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 Jehanne - July 9, 2019 at 2:29 pm

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