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    A number requiring n digits demands a physical token of l... — Carmelics
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    Challenges→A position number system with zero as a placeholder allows an infinite set of natural numbers to be represented using only a finite set of symbols

    A number requiring n digits demands a physical token of length n, so unbounded natural numbers are not representable by finite means but only by a finite scheme applied indefinitely.

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    Key Terms

    Finite means(as used in philosophy of mathematics)
    Physical resources or materials that are limited in quantity, size, or duration.
    Finite scheme(as used in philosophy of mathematics)
    A set of rules or instructions that is limited in length but can be followed repeatedly or endlessly.
    Natural numbers(mathematics)
    The counting numbers: 1, 2, 3, 4, and so on (sometimes including 0, depending on context).
    Physical token(philosophy of mind)
    A single, specific instance of something happening in the physical world, like a particular pattern of neurons firing in your brain at one moment.
    Representable(as used in philosophy of mathematics)

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    Able to be shown, written down, or expressed in some concrete or physical form.
    Unbounded(as used to describe the cosmos)
    Having no limits or boundaries; infinite or without defined edges or constraints.

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    A position number system with zero as a placeholder allows an infinite set of na...

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