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It is not the case that Strict finitists identify the natural numbers with those representable as unary numerals constructible in practice.
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Reasons Against
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Reason against
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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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