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Single Idea 9884

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

Full Idea

The distinction between concrete and abstract objects, or Frege's corresponding distinction between actual and non-actual objects, is not a sharp dichotomy, but resembles a scale upon which objects occupy a range of positions.

Gist of Idea

The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy

Source

Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)

Book Ref

Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.239


A Reaction

This might seem right if you live (as Dummett chooses to) in the fog of language, but it surely can't be right if you think about reality. Is the Equator supposed to be near the middle of his scale? Either there is an equator, or there isn't.

Related Idea

Idea 9918 Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]


The 26 ideas with the same theme [general ideas about the abstract/concrete border]:

Objects of ideas can be divided into abstract and concrete, and then further subdivided [Leibniz]
Frege refers to 'concrete' objects, but they are no different in principle from abstract ones [Frege, by Dummett]
We don't say 'red' is abstract, unlike a river, just because it has discontinuous shape [Quine]
We can only see an alien language in terms of our own thought structures (e.g. physical/abstract) [Quine]
We can't say that light is concrete but radio waves abstract [Dummett]
Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale]
The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett]
We don't need a sharp concrete/abstract distinction [Dummett]
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
Possible objects are abstract; actual concrete objects are possible; so abstract/concrete are compatible [Fine,K]
The abstract/concrete boundary now seems blurred, and would need a defence [Shapiro]
Mathematicians regard arithmetic as concrete, and group theory as abstract [Shapiro]
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
David's 'Napoleon' is about something concrete and something abstract [Brown,JR]
The abstract/concrete distinction is based on what is perceivable, causal and located [Hale]
Colours and points seem to be both concrete and abstract [Hale]
Token-letters and token-words are concrete objects, type-letters and type-words abstract [Hale]
The abstract/concrete distinction is in the relations in the identity-criteria of object-names [Hale]
Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]
If 'concrete' is the negative of 'abstract', that means desires and hallucinations are concrete [Potter]
The cosmos is the only fundamental entity, from which all else exists by abstraction [Schaffer,J]
If concrete is spatio-temporal and causal, and abstract isn't, the distinction doesn't suit physics [Ladyman/Ross]
Concrete and abstract are too crude for modern physics [Ladyman/Ross]