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Single Idea 9918

[filed under theme 7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete ]

Full Idea

The distinction of abstract and concrete is one of kind and not degree.

Gist of Idea

Abstract/concrete is a distinction of kind, not degree

Source

JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.a)

Book Ref

Burgess,J/Rosen,G: 'A Subject with No Object' [OUP 1997], p.14


A Reaction

I think I must agree with this. If there is a borderline, it would be in particulars that seem to have an abstract aspect to them. A horse involves the abstraction of being a horse, and it involves be one horse.

Related Idea

Idea 9884 The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]


The 15 ideas from 'A Subject with No Object'

Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
The old debate classified representations as abstract, not entities [Burgess/Rosen]
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]
We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
Number words became nouns around the time of Plato [Burgess/Rosen]