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Single Idea 9920

[filed under theme 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

Source

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

Book Ref

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?


The 6 ideas from 'The Structure of Appearance'

Two objects can apparently make up quite distinct arrangements in sets [Goodman, by Burgess/Rosen]
If all and only red things were round things, we would need to specify the 'respect' of the resemblance [Goodman, by Macdonald,C]
Without respects of resemblance, we would collect blue book, blue pen, red pen, red clock together [Goodman, by Macdonald,C]
If we apply the same word to different things, it is only because we are willing to do so [Goodman, by Macdonald,C]
Classes are a host of ethereal, platonic, pseudo entities [Goodman]
The counties of Utah, and the state, and its acres, are in no way different [Goodman]