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Full Idea
By convention, the natural numbers are the finite ordinals, the integers are certain equivalence classes of pairs of finite ordinals, etc.
Gist of Idea
Natural numbers are the finite ordinals, and integers are equivalence classes of pairs of finite ordinals
Source
Stewart Shapiro (Foundations without Foundationalism [1991], 9.3)
Book Ref
Shapiro,Stewart: 'Foundations without Foundationalism' [OUP 1991], p.251