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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that If the geometric contradictions Aristotle derives depend on treating infinite magnitudes as though they behave like arbitrarily large finite ones, the arguments are category errors, not valid reductions.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Category errors require showing operations are literally meaningless, not merely that they yield unexpected results about infinity.
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    • 2.If Aristotle's arguments rest on explicit logical rules (not just analogical transfer), they remain valid deductions even if premises about infinity are false.
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    • 3.Calling arguments 'category errors' may obscure whether the real problem is false premises about infinity rather than misapplied concepts.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Infinite magnitudes possess fundamentally different properties than finite ones (e.g., proper parts equal the whole), making finite operations inapplicable.
      ?

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    • 2.Applying finite arithmetic rules to infinite sets commits a category error, similar to asking 'what is the color of Tuesday?'
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    • 3.Aristotle's contradictions vanish when infinite magnitudes are treated within their own logical framework rather than forced into finite analogies.
      ?

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