Why Did Weyl Think that Formalism's Victory Against Intuitionism Entails a Defeat of Pure Phenomenology?

被引:1
|
作者
Toader, Iulian D. [1 ]
机构
[1] Univ Bucharest, Bucharest, Romania
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D O I
10.1080/01445340.2013.860732
中图分类号
B82 [伦理学(道德学)];
学科分类号
摘要
It has been contended that it is unjustified to believe, as Weyl did, that formalism's victory against intuitionism entails a defeat of the phenomenological approach to mathematics. The reason for this contention, recently put forth by Paolo Mancosu and Thomas Ryckman, is that, unlike intuitionistic Anschauung, phenomenological intuition could ground classical mathematics. I argue that this indicates a misinterpretation of Weyl's view, for he did not take formalism to prevail over intuitionism with respect to grounding classical mathematics. I also point out that the contention is false: if intuitionism fails, in the way Weyl thought it did, i.e. with respect to supporting scientific objectivity, then one should also reject the phenomenological approach, in the same respect.
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页码:198 / 208
页数:11
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