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    Context-change without corresponding function-change requ... — Carmelics
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    Challenges→P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functional dependence, functional consistency requires only that f applied to the new base value v'(Q) yields the correct eigenvalue, which is a constraint satisfied, not violated, by context-change.

    Context-change without corresponding function-change requires explanation. Asserting f's 'consistency' without addressing why the same function yields different eigenvalues begs the question.

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    Key Terms

    Consistency (in logic)(as the property being discussed in the conditional statement)
    When a set of rules or statements don't contradict each other — you can't prove both a statement and its opposite at the same time.
    Context-change(as used in semantics and philosophy of language)
    A shift in the circumstances, conditions, or settings that affect how something is evaluated or understood.
    Eigenvalue(as used in mathematics and formal logic)
    A special number associated with a mathematical function or transformation that remains unchanged in a particular way—think of it as a function's 'characteristic value.'
    Function(Boorse's account of biological function, grounding his theory of disease)
    A species-typical contribution to survival and reproduction
    begging the question

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    (Listed alongside equivocation as an example of a fallacy that highlights important issues in real-life arguing)
    A fallacy also known as circular reasoning

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    P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functiona...

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    P4's dilemma assumes that v'(f(Q)) ≠ v(f(Q)) is implausible, but under functiona...

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