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    The prevalence of Hilbert's approach indicates that mathe... — Carmelics
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    Supports→Intuitionism, restricted to intuitively cognizable truths, is insufficient as a foundation for mathematics as actually practiced

    The prevalence of Hilbert's approach indicates that mathematical practice requires symbolic representation beyond intuitive evidence

    Philosophy of LanguageTruth & Knowledge
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    Hilbert's formalist doctrine began to prevail over intuitionism by 1927Intuitionism, restricted to intuitively cognizable truths, is insufficient as a ...Nothing in pure intuitionism compels extension to symbolic construction, yet suc...

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    In Weyl’s eyes, Hilbert’s approach embodied the “symbolic representation of the transcendent, which demands to be satisfied”, and so he regarded its emergence as a natural development. But by 1927 Weyl saw Hilbert’s doctrine as beginning to prevail over intuitionism, and in this an adumbration of “a decisive defeat of the philosophical attitude of pure phenomenology, which thus proves to be insufficient for the understanding of creative science even in the area of cognition that is most p

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