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    Mathematics is a motley of techniques of proof and does n... — Carmelics
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    Challenges→Set theory is unnecessary for mathematics.

    Mathematics is a motley of techniques of proof and does not require a foundation.

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    Mathematics cannot be given a self-evident foundation.Set theory is unnecessary for mathematics.Set theory was invented to provide mathematics with a foundation.

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    Related propositions within the same area of thought.
    A proof of P ≠ NP is beyond the reach of currently known proof techniq...83%A proof of P ≠ NP is beyond the reach of current techniques81%A proof of P ≠ NP is beyond the reach of currently known proof techniq...81%Demonstrative proofs are neither possible nor required in science78%

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    Largely a product of his anti-foundationalism and his criticism of the extension-intension conflation, Wittgenstein’s later critique of set theory is highly consonant with his intermediate critique (PR §§109, 168; PG 334, 369, 469; LFM 172, 224, 229; and RFM III, §43, 46, 85, 90; VII, §16). Given that mathematics is a “MOTLEY of techniques of proof” (RFM III, §46), it does not require a foundation (RFM VII, §16) and it cannot be given a self-evident foundation (PR §160; WVC 34 & 62; RFM IV,

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