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    Platonist appeals to rational intuition (à la Gödel) lack... — Carmelics
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    Supports→Platonism cannot adequately account for mathematical knowledge

    Platonist appeals to rational intuition (à la Gödel) lack any principled account of why intuition reliably tracks mind-independent abstract reality.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Empirical reliabilism about perception lacks principled accounts of why sensory mechanisms track physical reality, yet we accept perceptual knowledge.
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    • 2.Mathematical intuitions show convergence across cultures and centuries without causal contact, suggesting non-arbitrary alignment with abstract truths.
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    • 3.The demand for a causal-mechanical explanation of intuitive access may smuggle in physicalist assumptions that beg the question against platonism.
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    Reasons Against

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    • 1.Sensory perception has evolutionary explanation for reliability; abstract mathematical intuition lacks analogous naturalistic selection pressure.
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    • 2.Disagreement among mathematicians about foundational axioms (continuum hypothesis, large cardinals) suggests intuition doesn't reliably track determinate facts.
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    • 3.Unless platonists explain the mechanism linking human minds to abstract objects, the theory remains epistemically idle—compatible with any intuitive output.
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    Related

    Disagreement among mathematicians about foundational axioms (continuum hypothesi...Empirical reliabilism about perception lacks principled accounts of why sensory ...Mathematical intuitions show convergence across cultures and centuries without c...Platonism cannot adequately account for mathematical knowledge
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    Sensory perception has evolutionary explanation for reliability; abstract mathem...The demand for a causal-mechanical explanation of intuitive access may smuggle i...Unless platonists explain the mechanism linking human minds to abstract objects,...

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