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    Carmelics

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    LoyalLoyalJusticeJustice
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    Home/Original/inverse
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    Inverse View

    It is not the case that Therefore, Euclidean geometry expresses contingent structural assumptions about space, not necessary truths.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Euclidean geometry may express necessary truths about the structure of possible space itself, not just empirical space.
      ?

      Think about whether this reason is strong or weak

    • 2.Non-Euclidean systems describe different structural *possibilities*, but don't prove Euclidean assumptions are merely contingent.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Non-Euclidean geometries are mathematically consistent, showing Euclidean axioms aren't logically necessary.
      ?

      Think about whether this reason is strong or weak

    • 2.General relativity describes spacetime as non-Euclidean, suggesting physical space doesn't require Euclidean structure.
      ?

      Think about whether this reason is strong or weak

    • 3.We could coherently imagine or construct spaces following different axioms, indicating Euclidean geometry is contingent.
      ?

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