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    The appearance of learning without new data is thus an il... — Carmelics
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    Challenges→Thought experiments can teach us something new about the world without new empirical data.

    The appearance of learning without new data is thus an illusion masking implicit empirical premises that have not been rigorously tested.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Logical deduction from axioms cannot generate genuinely new knowledge without assuming unstated empirical facts about how reality instantiates those axioms.
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    • 2.Mathematical proofs often rely on hidden assumptions about consistency and completeness that require empirical validation in actual systems.
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    • 3.Claims of pure reasoning frequently smuggle in intuitions derived from prior experience, making them parasitic on unexamined empirical background.
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    Reasons Against

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    Reason against
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    • 1.Valid logical derivations produce genuinely new conclusions not present in premises, regardless of whether premises depend on prior empirical work.
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    • 2.Mathematical truths are not empirical claims—their necessity stems from conceptual relationships, not testable facts about the world.
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    • 3.Distinguishing between 'learning' and 'discovering implications' matters; finding what follows from known axioms constitutes real intellectual progress.
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    Related

    Claims of pure reasoning frequently smuggle in intuitions derived from prior exp...Distinguishing between 'learning' and 'discovering implications' matters; findin...Logical deduction from axioms cannot generate genuinely new knowledge without as...Mathematical proofs often rely on hidden assumptions about consistency and compl...
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    Mathematical truths are not empirical claims—their necessity stems from conceptu...Thought experiments can teach us something new about the world without new empir...Valid logical derivations produce genuinely new conclusions not present in premi...

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