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    Every proposition has existential import in Bolzano's logic — Carmelics
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    Every proposition has existential import in Bolzano's logic

    Philosophy of LanguageTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.Bolzano defines truth such that a proposition is true only if its subject idea refers to an existing object
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    • 2.Bolzano's doctrine holds that every proposition has the form [A has b]
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Bolzano explicitly distinguishes 'objectual' ideas (Gegenständliche Vorstellungen) from empty ideas (gegenstandslose Vorstellungen) like 'golden mountain'.
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    • 2.Propositions containing empty ideas are still genuine propositions for Bolzano—they are simply false, not meaningless or existentially importing.
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    • 3.Therefore, 'The golden mountain is high' is a well-formed false proposition, not one that presupposes the existence of its subject.
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    Reason against 2 of 2
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    • 1.Bolzano's Wissenschaftslehre §28 treats propositions-in-themselves (Sätze an sich) as abstract objects subsisting independently of any minds or existing referents.
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    • 2.If propositions have ontological status prior to and independent of their subject ideas referring to existing objects, existential import cannot be a condition on proposition-hood itself.
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    Philosophy of LanguageTruth & Knowledge

    Related

    Bolzano defines truth such that a proposition is true only if its subject idea r...Bolzano explicitly distinguishes 'objectual' ideas (Gegenständliche Vorstellunge...Bolzano's Wissenschaftslehre §28 treats propositions-in-themselves (Sätze an sic...Bolzano's doctrine holds that every proposition has the form [A has b]
    +3 moreShow less
    If propositions have ontological status prior to and independent of their subjec...Propositions containing empty ideas are still genuine propositions for Bolzano—t...Therefore, 'The golden mountain is high' is a well-formed false proposition, not...

    Similar

    F does not prove the existential statement ∃x Prf_F(x, ⌜G_F⌝)81%There are no such things as propositions which are both necessary and ...79%If A contains no disjunction (∨) or existential quantifier (∃), then ¬...79%NP is captured by second-order existential logic (SO∃), a characteriza...78%

    Source

    AI-extracted1/3 agreementValid
    SEP: bolzano
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    Due to this definition of truth and due to Bolzano’s doctrine that every proposition has the form \([A\) has \(b]\), every proposition has existential import for Bolzano. (‘Existential’ must here be taken in the sense of Bolzano’s ‘there is’. It must be kept in mind here that Bolzano’s interpretation transfers many propositions to a meta-level and that in such a case the existential import concerns \([A]\) rather than \(A\) itself; the existence of \([A]\), however, is guaranteed even if \([A]\)
    Extraction notes

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

    Details

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