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    Strict finitists identify the natural numbers with those ... — Carmelics
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    Home/Modality & Possibility
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    Strict finitists identify the natural numbers with those representable as unary numerals constructible in practice.

    Modality & PossibilityTruth & Knowledge
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    • 1.Strict finitists hold that only numbers constructible by counting or explicitly representable as numerals are genuine natural numbers.
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    • 2.Unary numerals 0, 0′, 0″, … are generated by repeatedly applying the successor formation rule to 0.
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    • 3.Counting up to a number consists in constructing its unary representation.
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    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 ...Unary numerals 0, 0′, 0″, … are generated by repeatedly applying the successor f...

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    Strict finitists hold that only numbers constructible by counting or e...89%Counting up to a number consists in constructing its unary representat...80%Strict finitism emphasizes the practical aspects of how numerals are u...79%Strict finitism emphasizes the practical aspects of how numerals repre...79%

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    AI-extracted1/3 agreementValid
    SEP: computational-complexity
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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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    Validity: Extracted via Max plan + API grounding/validity checks

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