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math.LO2019
The Constituents of Sets, Numbers, and Other Mathematical Objects, Part Two
Ruadhan O'Flanagan
The arithmetic of natural numbers has a natural and simple encoding within sets, and the simplest set whose structure is not that of any natural number extends this set-theoretic r…
math.LO2019
The Constituents of Sets, Numbers, and Other Mathematical Objects, Part One
Ruadhan O'Flanagan
The sets used to construct other mathematical objects are pure sets, which means that all of their elements are sets, which are themselves pure. One set may therefore be within ano…