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Single Idea 10025

[from 'Principia Mathematica' by B Russell/AN Whitehead, in 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism ]

Full Idea

Russell and Whitehead took arithmetic to be higher-order logic, ..and came close to identifying numbers with numerical quantifiers.

Gist of Idea

Russell and Whitehead took arithmetic to be higher-order logic

Source

report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Harold Hodes - Logicism and Ontological Commits. of Arithmetic p.148

Book Reference

-: 'Journal of Philosophy' [-], p.148


A Reaction

The point here is 'higher-order'.