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    Mathematics, as part of creative science, requires symbol... — Carmelics
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    Supports→Pure phenomenology is insufficient for understanding creative science, including mathematics

    Mathematics, as part of creative science, requires symbolic construction that goes beyond intuitively cognizable truths

    Philosophy of LanguageTruth & Knowledge
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    Related propositions within the same area of thought.
    Creative science necessarily transcends what is phenomenologically givenHilbert's formalist approach prevailing over intuitionism demonstrates that math...Pure phenomenology is insufficient for understanding creative science, including...

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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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