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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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    Home/Original/inverse
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    Inverse View

    It is not the case that No single equational property of the integers can establish that the integers are infinite.

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

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.The set {0, 1} of integers mod 2 under addition and negation satisfies all the same equational laws as the integers.
      ?

      Think about whether this reason is strong or weak

    • 2.The set {0, 1} is finite.
      ?

      Think about whether this reason is strong or weak

    • 3.If a finite model satisfies all the same equational laws as the integers, then no individual equational law distinguishes the integers as infinite.
      ?

      Think about whether this reason is strong or weak

    Next step

    Based on where you are in your exploration

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