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    The idea-variation method requires that the replacing ide... — Carmelics
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    The idea-variation method requires that the replacing idea belong to the same semantic category as the idea it replaces

    Philosophy of LanguageTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.A replacing idea that does not fit the semantic category of the replaced idea produces a result that is not a genuine (well-formed) proposition
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    • 2.Genuine propositions are the intended output of the variation operation
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Frege's context principle shows that semantic category membership is determined by inferential role, not prior to substitution.
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    • 2.If category is fixed only through use in valid inferences, the variation method itself partly constitutes category boundaries, making the constraint circular.
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    Reason against 2 of 2
    ?
    • 1.Bolzano's own examples permit substitution of ideas with different extensions, suggesting category is defined functionally by position in the proposition-form.
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    • 2.A purely positional criterion of semantic category makes the same-category constraint trivially satisfied by any substitution, rendering it vacuous rather than restrictive.
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    Related

    A purely positional criterion of semantic category makes the same-category const...A replacing idea that does not fit the semantic category of the replaced idea pr...Bolzano's own examples permit substitution of ideas with different extensions, s...Frege's context principle shows that semantic category membership is determined ...
    +2 moreShow less
    Genuine propositions are the intended output of the variation operationIf category is fixed only through use in valid inferences, the variation method ...

    Similar

    The idea-variation method requires that at least one of the replaced i...91%A replacing idea that does not fit the semantic category of the replac...80%The simultaneous replacement of multiple ideas in a proposition yields...78%Performing variation on the subject idea of a proposition frequently p...76%

    Source

    AI-extracted1/3 agreementValid
    SEP: bolzano
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    The basic insight underlying Bolzano’s method of idea-variation is quite simple (WL II, 77 ff.). Let us take as our first example \(S_1\) the proposition [Kant is a German philosopher]. (In order to simplify matters linguistically, we do not adhere to Bolzano’s formulation ‘\(A\) has \(b\)’ but will allow also formulations of the kind ‘\(A\) is (a) \(B\)’. Moreover, we will take in what follows words like ‘German’, ‘French’, ‘European’, ‘American’ etc. in the sense of ‘born in Germany’, ‘born in
    Extraction notes

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

    Details

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