more from John Mayberry

Single Idea 17782

[catalogued under 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity]

Full Idea

Quantities for Greeks were concrete things - lines, surfaces, solids, times, weights. At the centre of their science of quantity was the beautiful theory of ratio and proportion ( which the notion of number does not appear!).

Gist of Idea

Greek quantities were concrete, and ratio and proportion were their science


John Mayberry (What Required for Foundation for Maths? [1994], p.407-2)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.407

A Reaction

[He credits Eudoxus, and cites Book V of Euclid]

Related Idea

Idea 17781 Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry]