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    Implicit definitions are structural definitions whose con... — Carmelics
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    Implicit definitions are structural definitions whose constituent terms are structurally defined.

    Philosophy of LanguageTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.Axiomatic definitions stipulate the meanings of all their constituent concepts in terms of the remaining ones.
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    • 2.Axioms therefore define concepts by their relations to one another.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Newman's 1928 objection showed that purely structural definitions trivialize physical theories, since any collection of objects satisfies some relational structure.
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    • 2.If structural definitions are satisfiable by arbitrarily many incompatible interpretations, they fail to uniquely fix the meanings of their constituent terms.
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    • 3.A definition that leaves its terms referentially indeterminate does not constitute a genuine semantic definition of those terms.
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    Reason against 2 of 2
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    • 1.Frege demonstrated that logical constants like 'and' and 'not' cannot be implicitly defined by their structural roles without presupposing their meanings.
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    • 2.If foundational logical terms resist purely structural definition, then no axiomatic system can be fully self-grounding in Schlick's sense.
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    Related

    A definition that leaves its terms referentially indeterminate does not constitu...Axiomatic definitions stipulate the meanings of all their constituent concepts i...Axioms therefore define concepts by their relations to one another.Frege demonstrated that logical constants like 'and' and 'not' cannot be implici...
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    If foundational logical terms resist purely structural definition, then no axiom...If structural definitions are satisfiable by arbitrarily many incompatible inter...Newman's 1928 objection showed that purely structural definitions trivialize phy...

    Similar

    Axiomatic definitions stipulate the meanings of all their constituent ...83%Extensions are sets of things falling under a given concept and are th...80%Ante rem structuralism describes the notion of structure in a somewhat...79%Analysis is the process of replacing the terms of a proposition with d...78%

    Source

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    SEP: schlick
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    Schlick claimed the method of definition by axioms was implicit because, unlike explicit definition, occurrences of the defined term cannot necessarily be replaced by a combination of the expressions which define it. And he praised the method for its specification of meanings independently of any intuitive content. Implicitly defined terms possess a clarity and precision of scope which cannot be achieved by concepts defined by abstraction from experience. Since, of course, axiomatic definitions
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    Details

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