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Mathematicians who are finitists.
#51
RE: Mathematicians who are finitists.
(June 29, 2019 at 6:44 pm)polymath257 Wrote:
(June 29, 2019 at 5:55 pm)A Toy Windmill Wrote: Finitism is stricter than simply assuming there are no infinite sets. The finitist goes so far as to say that one cannot even quantify over the natural numbers! The most cited formal system which tries to capture what limited reasoning is left is "Primitive Recursive Arithmetic."

The finitist will accept that "n + 1 > n", but will regard this as a schema. to be filled in with particular numbers that they can muster.

Well, that does depend on the brand of finitism you subscribe to. Yours is one of the more extreme versions.

Not many mathematicians are finitists; in fact, after my OP, I updated the Wikipedia article:

Wikipedia -- Finitism

to reflect that Reuben Goodstein, a finitist mathematician, had died in the 1980s.
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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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