Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920sBirkhäuser, 6 de des. 2012 - 448 pàgines The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings. |
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Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s Dennis E. Hesseling Previsualització no disponible - 2003 |
Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s Dennis E. Hesseling Previsualització no disponible - 2012 |
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argues argument axiom of choice axiomatic axioms Barzin and Errera Becker Berlin Bernays Bieberbach Borel Brouwer Brouwer and Weyl Brouwer's intuitionism Brouwer's view Brouwerian Burkamp Carnap choice sequences claims classical logic classical mathematics concept consistency proof constructive continuum contradiction contributions Dalen daſ defined definition discussion dissertation Dresden ematics excluded middle formalistic foundational crisis foundational debate foundations of mathematics Fraenkel geometry German Glivenko Gödel Gonseth Göttingen Heyting's Hilbert idea infinite interpretation intuition intuitionistic logic intuitionistic mathematics intuitionistic point intuitionistic view Kolmogorov Kronecker language later Lebensphilosophie lecture letter Lévy Logik Mannoury math mathematical existence mathematical objects mathematicians Mathematik Mathematische means Mehrtens Mengenlehre Menger metaphors natural numbers negation Neumann ordinal number paper philosophy Poincaré point of view position presented principle problem proposition propositional logic provable proved published question reactions real numbers remarks Rickert set theory Skolem Spengler tertium non datur theorem tion translation view on mathematical Wavre Weyl's Wittgenstein