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    Carnap's analytic-synthetic distinction, which underpins ... — Carmelics
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    Supports→Carnap's formalist position has not adequately answered the problem of applicability of mathematics

    Carnap's analytic-synthetic distinction, which underpins his formalism, was fatally undermined by Quine's 'Two Dogmas of Empiricism', removing the boundary between formal and empirical content.

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    Key Terms

    Analytic-synthetic distinction(as the philosophical concept Quine attacks)
    A traditional divide between two types of statements: analytic ones that are true by definition alone (like 'bachelors are unmarried') and synthetic ones that require observation of the world to verify (like 'snow is white').
    Formal content(referring to the theoretical definition of humanity)
    The abstract, unchanging definition or structure of something—what makes it what it is in terms of pure logic and meaning, separate from physical reality.
    Rudolf Carnap(as a philosopher of language and logic)
    A 20th-century German-American philosopher who thought the best way to understand scientific language was to translate it into a basic, logical framework.
    Two Dogmas of Empiricism(as the title of the work being referenced)
    A famous 1951 essay by Quine arguing against two widely-accepted beliefs about meaning and knowledge that philosophers had taken for granted.

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    Willard Van Orman Quine(originator of the underdetermination thesis)
    An influential 20th-century American philosopher who argued that scientific theories are never uniquely determined by evidence—multiple different theories could explain the same observations.
    empirical content(Used by Popper to equate informational richness with falsifiability.)
    The amount of empirical information conveyed by a theory.
    empiricism(Used in discussing what cannot explain false belief in Theaetetus 187–201)
    Either a developed philosophical theory or the instinctive empiricism of some people's common sense
    formalism(Applied as a critique of both metaphysics and the sciences in Horkheimer's later work)
    The logical practice of relating facts to concepts in terms of the relation of classes to instances, accomplished by simple deduction, resulting in static universals into which all particulars can be neatly placed

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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