back to ideas for this text


Single Idea 14160

[from 'The Principles of Mathematics' by Bertrand Russell, in 27. Natural Reality / C. Space / 3. Points in Space ]

Full Idea

I won't discuss whether points are unities or simple terms, but whether space is an aggregate of them. ..There is no geometry without points, nothing against them, and logical reasons in their favour. Space is the extension of the concept 'point'.

Gist of Idea

Space is the extension of 'point', and aggregates of points seem necessary for geometry

Source

Bertrand Russell (The Principles of Mathematics [1903], §423)

Book Reference

Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.445