Single Idea 13450

[catalogued under 5. Theory of Logic / G. Quantification / 2. Domain of Quantification]

Full Idea

There are doubts about whether absolute generality is possible, if there are certain concepts which are indefinitely extensible, lacking definite extensions, and yielding an ever more inclusive hierarchy. Sets and ordinals are paradigm cases.

Gist of Idea

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals

Source

Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.1)

Book Reference

'Absolute Generality', ed/tr. Rayo,A/Uzquiano,G [OUP 2006], p.4