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    The Principle of Contradiction governs the domain of nece... — Carmelics
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    The Principle of Contradiction governs the domain of necessary truths

    Modality & Possibility
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.Leibniz associates each of his two fundamental principles with distinct modal domains
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    • 2.The domain of necessary truths is characterized modally as the domain where the Principle of Contradiction is the governing principle
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Hegel contends that contradiction is not restricted to falsehood or impossibility but is the internal engine of all rational and necessary development.
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    • 2.If contradiction is dialectically productive rather than merely exclusionary, it cannot serve as a stable boundary-marker distinguishing necessary from contingent domains.
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    • 3.Leibniz's sharp modal bifurcation presupposes a static logic of identity that Hegelian dialectic systematically undermines.
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    Reason against 2 of 2
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    • 1.Kant argues that contradiction alone cannot govern necessary truths, since synthetic a priori judgments are necessary yet irreducible to logical contradiction.
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    • 2.If synthetic a priori truths (e.g., '7+5=12') are necessary but not grounded in contradiction, the Principle of Contradiction cannot be the sole governing principle of necessary truths.
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    Related

    Hegel contends that contradiction is not restricted to falsehood or impossibilit...If contradiction is dialectically productive rather than merely exclusionary, it...If synthetic a priori truths (e.g., '7+5=12') are necessary but not grounded in ...Kant argues that contradiction alone cannot govern necessary truths, since synth...
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    Leibniz associates each of his two fundamental principles with distinct modal do...Leibniz's sharp modal bifurcation presupposes a static logic of identity that He...The domain of necessary truths is characterized modally as the domain where the ...

    Similar

    The Principle of Sufficient Reason governs the domain of contingent tr...90%The domain of necessary truths is characterized modally as the domain ...89%The Principle of Noncontradiction applies to all contingent truths as ...84%The domain of contingent truths is characterized modally as the domain...83%

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    Leibniz associates the Principle of Contradiction and the PSR with a variety of domains where each is especially important. For example, there are domains where the truths of the domain depend on one of the two principles. These domains are characterized modally: The Principle of Contradiction rules over the domain of necessary truths and the PSR rules over the domain of contingent truths (A 6 4 1616/MP 75; G VII 355–56/LC 15–16).
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    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit