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“What is at issue here is not the familiar construct of formal mathematics, but a belief in the existence of ω (the set of natural numbers) prior to all mathematical constructions. What is the origin of this belief? The famous saying by Kronecker that God created the numbers, all the rest is the work of Man, presumably was not meant to be taken seriously. Nowhere in the Book of Genesis do we find the passage: And God said, let there be numbers, and there were numbers; odd and even created he them, and he said unto them be fruitful and multiply; and he commanded them to keep the laws of induction. No, the belief in ω stems from the speculations of Greek philosophy on the existence of ideal entities or the speculations of German philosophy on a priori categories of thought.”

Edward Nelson, Predicative Arithmetic
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Predicative Arithmetic (Mathematical Notes, Vol. 32) Predicative Arithmetic by Edward Nelson
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