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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]

@@ Line 14: / Line 14: @@
 ::Thanks for your comments.  A wiki page on this would clearly be welcome.  [[User:Katzmik|Katzmik]] ([[User talk:Katzmik|talk]]) 11:53, 8 September 2008 (UTC)
+== Revolutionary book by L.E.J. Brouwer ==
+Hi. A few days ago I posted an [http://www.gospelofthomas.org/brouwer.html 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 --[[User:Controle2|Controle2]] ([[User talk:Controle2|talk]]) 10:29, 9 May 2009 (UTC)