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    When visual inspection of a diagram reveals a geometric p... — Carmelics
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    Challenges→Visual experience can play a merely enabling role in coming to know a mathematical truth without serving as evidence for that truth.

    When visual inspection of a diagram reveals a geometric proof, the visual experience is doing epistemic work indistinguishable from evidential support.

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    1 reason for
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    Reasons For

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    • 1.Visual systems reliably extract geometric relationships that satisfy formal proof requirements without conscious logical inference.
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    • 2.We recognize proofs as valid through diagram inspection in precisely the same way we recognize empirical evidence—by pattern recognition.
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    • 3.The distinction between 'seeing that P is true' and 'having evidence that P' collapses when perception directly grounds justified belief.
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    Reasons Against

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    Reason against
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    • 1.Visual illusions demonstrate diagrams can appear to prove false claims, revealing perception is unreliable evidence without formal verification.
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    • 2.Geometric proofs require logical necessity; visual experience provides only contingent observation about particular instantiations drawn.
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    • 3.Evidential support requires mind-independence, but visual experience is subjective and varies across observers and viewing conditions.
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    Truth & Knowledge1 linkedPerception1 linked

    Related

    Evidential support requires mind-independence, but visual experience is subjecti...Geometric proofs require logical necessity; visual experience provides only cont...The distinction between 'seeing that P is true' and 'having evidence that P' col...Visual experience can play a merely enabling role in coming to know a mathematic...
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    Visual illusions demonstrate diagrams can appear to prove false claims, revealin...Visual systems reliably extract geometric relationships that satisfy formal proo...We recognize proofs as valid through diagram inspection in precisely the same wa...

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    2 (1 for, 1 against)
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