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    Unary numerals 0, 0′, 0″, … are generated by repeatedly a... — Carmelics
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    Supports→Strict finitists identify the natural numbers with those representable as unary numerals constructible in practice.

    Unary numerals 0, 0′, 0″, … are generated by repeatedly applying the successor formation rule to 0.

    Modality & PossibilityPhilosophy of Language
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    Related propositions within the same area of thought.
    Counting up to a number consists in constructing its unary representation.Large decimal expressions such as 10^12 do not denote numbers constructible in t...Strict finitists hold that only numbers constructible by counting or explicitly ...Strict finitists identify the natural numbers with those representable as unary ...

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    Frege's procedure defines or entails the content needed to characteriz...75%From (S1), 0 denotes a feasible number, so F(0) holds.73%The integers can be reordered as 0, -1, 1, -2, 2, -3, 3, … by alternat...73%F(0) holds, because 0 is the initial feasible number (S1).72%

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    This view is most prominently associated with Yessenin-Volpin (1961; 1970), who is in turn best known for questioning whether expressions such as \(10^{12}\) or \(2^{50}\) denote natural numbers. e. numbers up to which we may count in practice. On this basis, he outlined a foundational program wherein feasibility is treated as a basic notion and traditional arguments in favor of the validity of mathematical induction and the uniqueness of the natural number series are called into question. [48]

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