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Matheology § 173
Posted:
Dec 7, 2012 1:34 AM


Matheology § 173
The question of language is also particularly relevant, for Brouwer would continue to emphasize that mathematics does not depend on language or logic, being prior to language and logic. Language is merely an instrument of social domination, and it makes impossible a real communication: ?nobody has ever communicated his soul to someone else by means of language.? In 1908, this line of thought would derive into a denounce of classical logic and of axiomatic systems, which obviously from his standpoint cannot be the real foundation of mathematics. [...] Brouwer stressed that he had been elaborating these ideas since 1907, before his involvement with topology, and mentioned how (in his opinion) they also forced him to disagree with Hilbert?s conviction that all mathematical problems are solvable. He emphasized that the foundations for set theory provided both by the logicists and Zermelo were to be rejected. [José Ferreirós: "Paradise Recovered? Some Thoughts on Mengenlehre and Modernism", (2008)]
Regards, WM



