more from Nelson Goodman

Single Idea 9920

[catalogued under 4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory]

Full Idea

Goodman argues that the set or class {{a}},{a,b}} is supposed to be distinct from the set or class {{b},{a,b}}, even though both are ultimately constituted from the same a and b.

Gist of Idea

Two objects can apparently make up quite distinct arrangements in sets


report of Nelson Goodman (The Structure of Appearance [1951]) by JP Burgess / G Rosen - A Subject with No Object I.A.2.a

Book Reference

Burgess,J/Rosen,G: 'A Subject with No Object' [OUP 1997], p.27

A Reaction

I'm with Goodman all the way here, even though it is deeply unfashionable, particularly in the circles I move in. If there are trillion grains of sand on a beach, how many sets are we supposed to be committed to?