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    Carmelics

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    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
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    Home/Original/inverse
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    Inverse View

    It is not the case that Inconsistent theories, lacking application in empirically successful science, fail the indispensability criterion that historically justifies treating classical and even intuitionistic mathematics as legitimate objects of study.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Paraconsistent logics show inconsistency doesn't require logical explosion; some inconsistent systems can be rationally structured and partially useful.
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    • 2.Mathematics' legitimacy stems partly from internal coherence and conceptual fertility, not solely from empirical indispensability to current science.
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    • 3.Intuitionistic mathematics itself was once non-standard; legitimacy criteria applied retroactively risk unfairly dismissing novel formal frameworks.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Science's predictive success relies on consistent mathematical frameworks; inconsistent systems cannot reliably model physical phenomena.
      ?

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    • 2.Historical justification for mathematical theories (classical, intuitionistic) depends on empirical utility; inconsistent theories lack this grounding.
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    • 3.Accepting inconsistent theories risks logical explosion, making them unsuitable as foundations for any rigorous scientific or mathematical practice.
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