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Brouwer-Hilbert controversy

It would be interesting to have a separate page for the Brouwer-Hilbert controversy concerning the foundational issues briefly mentioned here. Katzmik (talk) 11:55, 7 September 2008 (UTC)[reply]

For an ambitious soul a place to start is Stephen Kleene's Introduction to Metamathematics, Chapter III A CRITIQUE OF MATHEMATICAL REASONING. He discusses §11. The paradoxes, §12. First inferences from the paradoxes [ impredicative definitions, Logicism etc], §13. Intuitionism, §14. Formalism, §15. Formalization of a theory. Kleene's writing is so impressive is because he takes the debate seriously, and throughout his book he actually builds the two "formal systems" (for example, on page 119 where he shows those logical laws such as double negation that are disallowed in the Intuitionist system). Kleene's writing on this is the only such writing I've been able to understand. Bill Wvbailey (talk) 15:41, 7 September 2008 (UTC)[reply]

Thanks for your comments. A wiki page on this would clearly be welcome. Katzmik (talk) 11:53, 8 September 2008 (UTC)[reply]

Revolutionary book by L.E.J. Brouwer

Hi. A few days ago I posted an external link to the book Life, Art and Mysticism which Brouwer wrote at the age of 23. The link was then discarded as a spam link. It definitely is not spam and I believe this page wouldn't be complete without something about this book. I believe it has a big educational value in it. Elucidations of the book are included in the linkpage. I hope I will get some support on this. Greetings --Controle2 (talk) 10:29, 9 May 2009 (UTC)[reply]

Of course, the link is of immense importance. Among other things, it reveals the influence of Schopenhauer. This is manifested in Brouwer's concept of the "sad world" and his discussions of "will." As he aged, he partially suppressed such musings in order to try to focus on purely mathematical matters.Lestrade (talk) 17:24, 9 May 2009 (UTC)Lestrade[reply]

Good to see you support the importance of the book in the Brouwer article. Since nobody opposes I have added the link. --Controle2 (talk) 12:07, 10 May 2009 (UTC)[reply]

It *is* spam due to the commentary and other links. I've changed the link to one that just provides a pdf of the actual work.Ekwos (talk) 02:03, 29 June 2009 (UTC)[reply]

WW2

Here it states that Brouwer was considered reliable by the Nazis. [1]Here it states that he was supporting the resistance. What's known about his life actually? 213.93.89.128 (talk) 17:50, 18 May 2013 (UTC)[reply]

Revision as of 17:39, 18 May 2013 edit SineBot (talk \| contribs) Bots 2,548,910 edits m Signing comment by 213.93.89.128 - "" ← Previous edit		Revision as of 17:50, 18 May 2013 edit undo 213.93.89.128 (talk) →‎WW2 Next edit →
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	== WW2 ==		== WW2 ==
	[http://en.wikipedia.org/wiki/Oswald_Teichm%C3%BCller ~~here~~] it states that Brouwer was considered reliable by the Nazis. What's known about his life actually? ~~<span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures\|unsigned]] comment added by~~ [[Special:Contributions/213.93.89.128\|213.93.89.128]] ([[User talk:213.93.89.128\|talk]]) 17:38, 18 May 2013 (UTC)~~</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->~~		[http://en.wikipedia.org/wiki/Oswald_Teichm%C3%BCller Here] it states that Brouwer was considered reliable by the Nazis. [http://plato.stanford.edu/entries/brouwer/]Here it states that he was supporting the resistance. What's known about his life actually? [[Special:Contributions/213.93.89.128\|213.93.89.128]] ([[User talk:213.93.89.128\|talk]]) 17:50, 18 May 2013 (UTC)