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    Since mathematics demonstrably describes these structural... — Carmelics
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    Challenges→We can have no theoretical knowledge of the ultimate constitution of reality as it is in itself, independent of our representations.

    Since mathematics demonstrably describes these structural features independent of any particular observer's representations, theoretical knowledge of mind-independent reality in its relational constitution is achievable.

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    Key Terms

    Mind-independent reality(what preserves a role in classification despite scheme-dependence)
    The idea that the world exists and has certain features whether or not any person is thinking about it or aware of it.
    Observer's representations(as used in epistemology)
    The way a particular person's mind pictures, perceives, or thinks about something based on their own perspective and experiences.
    Relational constitution(as used in metaphysics)
    The idea that things are defined and made what they are by how they relate to other things, rather than by existing completely on their own.
    Structural features(as used in logic and philosophy)
    The basic pattern or framework that makes something work the way it does—like how a building's structure determines its shape.
    knowledge

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    (Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.
    theoretical knowledge(Kant's epistemological framework distinguishing theoretical from practical cognition)
    Knowledge based on experience or reflection on the conditions of experience, limited to objects within possible experience

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    Truth & Knowledge1 linkedSkepticism1 linked

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    We can have no theoretical knowledge of the ultimate constitution of reality as ...

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