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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that If axiom choice itself depends on conventions shaped by sensorimotor experience, sense perception is never fully expelled from geometric reasoning.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Formal proofs in geometry succeed precisely because they suspend sensory dependence through explicit axiomatization and logical derivation rules.
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    • 2.Alternative axiom systems (non-Euclidean geometries) are proven consistent despite contradicting sensory intuitions, showing reasoning transcends perception.
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    • 3.The origin of axiom choice (evolutionary or embodied) is causally distinct from whether those axioms yield objective mathematical truths.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematical axioms are chosen by human mathematicians whose conceptual frameworks evolved through embodied interaction with physical space.
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    • 2.The parallel postulate's historical rejection in some cultures correlates with different spatial intuitions shaped by environmental affordances.
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    • 3.Even abstract set theory uses spatial metaphors (membership, containment) that originate in sensorimotor schemas of physical objects.
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