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Single Idea 7548

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

Full Idea

Classes or series of particulars, collected together on account of some property which makes it convenient to be able to speak of them as wholes, are what I call logical constructions or symbolic fictions.

Gist of Idea

Classes, grouped by a convenient property, are logical constructions

Source

Bertrand Russell (The Ultimate Constituents of Matter [1915], p.125)

Book Ref

Russell,Bertrand: 'Mysticism and Logic' [Unwin 1989], p.125


A Reaction

When does a construction become 'logical' instead of arbitrary? What is it about a property that makes it 'convenient'? At this point Russell seems to have built his ontology on classes, and the edifice was crumbling, thanks to Wittgenstein.


The 9 ideas from 'The Ultimate Constituents of Matter'

Visible things are physical and external, but only exist when viewed [Russell]
A man is a succession of momentary men, bound by continuity and causation [Russell]
Matter requires a division into time-corpuscles as well as space-corpuscles [Russell]
Classes, grouped by a convenient property, are logical constructions [Russell]
If my body literally lost its mind, the object seen when I see a flash would still exist [Russell]
We could probably, in principle, infer minds from brains, and brains from minds [Russell]
Matter is a logical construction [Russell]
Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell]
Sense-data are purely physical [Russell]