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    There are no non-actual infinite modes — every possible i... — Carmelics
    Home/Modality & Possibility
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    There are no non-actual infinite modes — every possible infinite mode necessarily exists and is therefore actual.

    Modality & Possibility
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    2 reasons against

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    Reasons For

    1 perspective
    Reason for
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    • 1.Necessity entails actuality (□p → p).
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    • 2.Any infinite mode must, by definition, follow from God's absolute nature (either immediately or mediately).
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    • 3.True definitions express necessary truths, so if an infinite mode follows from God's absolute nature in any possible world, it follows necessarily.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Spinoza's modal system permits a distinction between what follows from God's absolute nature and what follows from God as modified, leaving room for unrealized modes.
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    • 2.Ethics IP23 restricts necessary existence to modes following from God's absolute nature, but many infinite modes follow only from God qua modified, weakening the modal transfer to necessity.
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    • 3.If the modal transfer principle applies only to immediate infinite modes (e.g., motion-and-rest), mediate infinite modes inherit only conditional necessity, not absolute necessity entailing actuality.
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    Reason against 2 of 2
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    • 1.Leibniz's possibilism demonstrates that necessity within a world-relative system is compatible with genuinely non-actualized possibles, challenging the claim that Spinozistic necessity collapses possibility into actuality.
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    • 2.The argument conflates hypothetical necessity (p necessarily follows given q) with absolute necessity (□p), and Spinoza's own texts in the Short Treatise suggest modes exhibit only the former relative to their causal antecedents.
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    Topics

    Modality & Possibility

    Connections

    2 topics

    Truth & Knowledge1 linkedDivine Attributes1 linked

    Related

    Any infinite mode must, by definition, follow from God's absolute nature (either...Ethics IP23 restricts necessary existence to modes following from God's absolute...If a supposed non-actual infinite mode's existence is necessary, then by necessi...If an infinite mode follows necessarily from God's absolute nature, a modal tran...
    +6 moreShow less
    If the modal transfer principle applies only to immediate infinite modes (e.g., ...Leibniz's possibilism demonstrates that necessity within a world-relative system...Necessity entails actuality (□p → p).

    Similar

    Every existing infinite mode exists necessarily.90%If a supposed non-actual infinite mode's existence is necessary, then ...89%Every immediate infinite mode exists necessarily.88%Particular finite modes do not exist necessarily88%

    Source

    AI-extracted1/3 agreementValid
    SEP: spinoza-modal
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    Once again, even this strong modal conclusion is not equivalent to full-blown necessitarianism regarding infinite modes. Even if every existing infinite mode necessarily exists, could there have been other infinite modes as well? I am not aware of any texts in which Spinoza explicitly rules this out, but it is easy to imagine what he would say. Non-actual infinite modes do not exist necessarily, or else they would actually exist, on the plausible assumption that necessity entails actuality (□p →
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Spinoza's modal system permits a distinction between what follows from God's abs...
    The argument conflates hypothetical necessity (p necessarily follows given q) wi...
    True definitions express necessary truths, so if an infinite mode follows from G...
    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit