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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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    Perspectives
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    Home/Original/inverse
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    Inverse View

    It is not the case that Concrete infinities are metaphysically impossible

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Cantorian set theory demonstrates that actually infinite collections are logically and mathematically coherent without internal contradiction.
      ?

      Think about whether this reason is strong or weak

    • 2.The burden of proof falls on those claiming metaphysical impossibility to identify which specific metaphysical necessity concrete infinities violate.
      ?

      Think about whether this reason is strong or weak

    • 3.Hilbert's Hotel paradoxes show only that infinite collections behave counter-intuitively, not that they are metaphysically impossible.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Aristotle's distinction between potential and actual infinity, rehabilitated by Graham Oppy, allows that denying actual infinities requires independent metaphysical argument beyond mathematical intuition.
      ?

      Think about whether this reason is strong or weak

    • 2.Craig's inference from 'abstractly impossible to visualize' to 'metaphysically impossible' conflates epistemic limitations with ontological constraints on reality.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematical possibility does not entail metaphysical possibility
      ?

      Think about whether this reason is strong or weak

    • 2.Concrete infinities violate metaphysically necessary truths concerning causal powers
      ?

      Think about whether this reason is strong or weak

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    Strongest counterpoint
    Explore the most compelling reason on the other side.