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It is not the case that Visual experience can play a merely enabling role in coming to know a mathematical truth without serving as evidence for that truth.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
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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2.
The enabling/evidential distinction collapses when the visual content is constitutively sufficient to justify the mathematical belief it produces.
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3.
Giaquinto's own work on visual mathematical thinking shows that diagram-based reasoning tracks truth in ways that satisfy standard criteria for evidence.
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Reason for 2 of 2
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1.
Reliabilist epistemology counts a process as evidence-generating whenever it reliably produces true beliefs, regardless of its phenomenological or functional label.
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2.
Visual experiences that reliably occasion mathematical knowledge satisfy the reliabilist criterion for evidential status, making the enabling/evidence distinction theory-laden rather than principled.
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Reasons Against
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Reason against
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1.
Visual experience may help a person acquire concepts needed to understand a mathematical proposition without giving reason to believe the proposition.
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2.
The visual experience of reading an argument may reveal the argument's content without helping one determine whether the argument is sound.
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