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    Sensory experience appears to play an evidential role in ... — Carmelics
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    Home/Perception
    HistoryEditSee Inverse

    Sensory experience appears to play an evidential role in coming to know some mathematical facts.

    Perception
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Setting aside testimony-based knowledge, there remain cases where sensory experience seems to justify belief in a mathematical fact.
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    • 2.Visual experience has been shown (in earlier sections of the text) to play non-merely-enabling roles in mathematical proof and propositional discovery.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Mathematical truths are necessary truths, and sensory experience, which is contingent, cannot justify belief in what is necessarily the case.
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    • 2.What sensory experience provides is at best a heuristic trigger for a priori insight, not genuine evidential warrant for the mathematical proposition itself.
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    • 3.Frege and the logicist tradition establish that the justificatory ground of arithmetic lies in logical laws, not empirical observation.
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    Reason against 2 of 2
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    • 1.The 'non-merely-enabling' distinction collapses under scrutiny: causal facilitation of belief formation is not equivalent to epistemic justification of belief content.
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    • 2.Benacerraf's epistemological challenge shows that any causal account of mathematical knowledge faces insuperable problems given the acausal nature of mathematical objects.
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    PerceptionTruth & Knowledge

    Related

    Benacerraf's epistemological challenge shows that any causal account of mathemat...Frege and the logicist tradition establish that the justificatory ground of arit...Mathematical truths are necessary truths, and sensory experience, which is conti...Setting aside testimony-based knowledge, there remain cases where sensory experi...
    +3 moreShow less
    The 'non-merely-enabling' distinction collapses under scrutiny: causal facilitat...Visual experience has been shown (in earlier sections of the text) to play non-m...What sensory experience provides is at best a heuristic trigger for a priori ins...

    Similar

    Visual experience can play a merely enabling role in coming to know a ...91%Visual experience may help a person acquire concepts needed to underst...86%As understanding develops, mathematical truths come to be grasped in a...86%Visual experience has been shown (in earlier sections of the text) to ...82%

    Source

    AI-extracted1/3 agreementValid
    SEP: epistemology-visual-thinking
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    In coming to know a mathematical truth visual experience can play a merely “enabling” role. For example, visual experience may have been a factor in a person’s getting certain concepts involved in a mathematical proposition, thus enabling her to understand the proposition, without giving her reason to believe it. Or the visual experience of reading an argument in a text book may enable one to find out just what the argument is, without helping her tell that the argument is sound. In earlier sect
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit