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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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    If spatial structure is discovered through physical theor... — Carmelics
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    Challenges→Scientific knowledge of space is of a different kind from our knowledge of geometry.

    If spatial structure is discovered through physical theorizing rather than pure intuition, scientific and geometrical knowledge share the same empirical foundation.

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    1 reason for
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    Reasons For

    1 perspective
    Reason for
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    • 1.Non-Euclidean geometries emerged from physical theories about gravity and spacetime, not from pure mathematical intuition.
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    • 2.All geometric axioms ultimately rest on empirical observations about how objects behave in the physical world.
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    • 3.Both physics and geometry require experimental validation; neither can be established through reason alone.
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    Reasons Against

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    Reason against
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    • 1.Pure mathematics generates infinite consistent geometries independent of any physical discovery or observation whatsoever.
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    • 2.Geometric knowledge preceded modern physics by millennia and was developed through logical deduction, not empirical testing.
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    • 3.Physical theories use geometry as a tool; geometry's validity doesn't depend on which physical theory currently describes reality.
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    Key Terms

    knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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    Truth & Knowledge1 linked

    Related

    All geometric axioms ultimately rest on empirical observations about how objects...Both physics and geometry require experimental validation; neither can be establ...Geometric knowledge preceded modern physics by millennia and was developed throu...Non-Euclidean geometries emerged from physical theories about gravity and spacet...
    +3 moreShow less
    Physical theories use geometry as a tool; geometry's validity doesn't depend on ...Pure mathematics generates infinite consistent geometries independent of any phy...Scientific knowledge of space is of a different kind from our knowledge of geome...

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    claim
    Perspectives
    2 (1 for, 1 against)
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