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Single Idea 13666

[from 'Foundations without Foundationalism' by Stewart Shapiro, in 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets ]

Full Idea

Iterative sets do not exhibit a Boolean structure, because the complement of an iterative set is not itself an iterative set.

Gist of Idea

Iterative sets are not Boolean; the complement of an iterative set is not an iterative sets

Source

Stewart Shapiro (Foundations without Foundationalism [1991], 7.1)

Book Reference

Shapiro,Stewart: 'Foundations without Foundationalism' [OUP 1991], p.177