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    Benacerraf's dilemma shows any adequate epistemology must... — Carmelics
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    Supports→Platonism cannot adequately account for mathematical knowledge

    Benacerraf's dilemma shows any adequate epistemology must connect truth conditions to belief acquisition, which Platonism structurally cannot do.

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    Reasons For

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    • 1.Mathematical truths are abstract and causally inert, so Platonic objects cannot causally explain how we acquire beliefs about them.
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    • 2.Adequate epistemology requires explaining how truth-conditions constrain belief formation; Platonism severs this connection entirely.
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    • 3.We reliably acquire mathematical knowledge despite no causal interaction with abstract objects, suggesting Platonism cannot ground this reliability.
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    Reasons Against

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    Reason against
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    • 1.The dilemma assumes causation is necessary for knowledge; non-causal epistemic relations (like mathematical intuition) might justify beliefs.
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    • 2.Platonists can appeal to structural isomorphisms between abstract objects and physical instantiations, explaining indirect cognitive access.
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    • 3.The challenge conflates the metaphysical question (what mathematical objects are) with epistemology; these may require independent solutions.
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    Related

    Adequate epistemology requires explaining how truth-conditions constrain belief ...Mathematical truths are abstract and causally inert, so Platonic objects cannot ...Platonism cannot adequately account for mathematical knowledgePlatonists can appeal to structural isomorphisms between abstract objects and ph...
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    The challenge conflates the metaphysical question (what mathematical objects are...The dilemma assumes causation is necessary for knowledge; non-causal epistemic r...We reliably acquire mathematical knowledge despite no causal interaction with ab...

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