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    Large decimal expressions such as 10^12 do not denote num... — Carmelics
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    Supports→Strict finitists identify the natural numbers with those representable as unary numerals constructible in practice.

    Large decimal expressions such as 10^12 do not denote numbers constructible in this sense.

    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.Strict finitists hold that only numbers constructible by counting or explicitly ...Strict finitists identify the natural numbers with those representable as unary ...Unary numerals 0, 0′, 0″, … are generated by repeatedly applying the successor f...

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    Only numbers constructible in practice by counting or explicitly repre...78%Expressions such as 10^{12} or 2^{50} may not denote natural numbers u...76%From (S2), some expression τ such as 10^12 does not denote a feasible ...75%Strict finitists identify the natural numbers with those representable...75%

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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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