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Ideas for 'Mahaprajnaparamitashastra', 'Virtues and Vices' and 'Nature Without Essence'

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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17877	The number series is primitive, not the result of some set theoretic axioms [Almog]
	Full Idea: On Skolem's account, to 'get' the natural numbers - that primal structure - do not 'look for it' as the satisfier of some abstract (set-theoretic) axiomatic essence; start with that primitive structure.
	From: Joseph Almog (Nature Without Essence [2010], 12)
	A reaction: [Skolem 1922 and 1923] Almog says the numbers are just 0,1,2,3,4..., and not some underlying axioms. That makes it sound as if they have nothing in common, and that the successor relation is a coincidence.