more from this thinker     |     more from this text


Single Idea 10144

[filed under theme 7. Existence / A. Nature of Existence / 4. Abstract Existence ]

Full Idea

A procedural form of postulationism says that instead of stipulating that certain statements are true, one specifies certain procedures for extending the domain to one in which the statement will in fact be true, without invoking an abstract ontology.

Gist of Idea

Postulationism says avoid abstract objects by giving procedures that produce truth

Source

Kit Fine (The Limits of Abstraction [2002], II.5)

Book Ref

Fine,Kit: 'The Limits of Abstraction' [OUP 2008], p.100


A Reaction

The whole of philosophy might go better if it was founded on procedures and processes, rather than on objects. The Hopi Indians were right.


The 13 ideas with the same theme [existing non-causally and outside space-time]:

The incommensurability of the diagonal always exists, and so it is not in time [Aristotle]
General and universal are not real entities, but useful inventions of the mind, concerning words or ideas [Locke]
Abstract ideas are impossible [Berkeley]
We can't think about the abstract idea of triangles, but only of particular triangles [Hume]
If abstracta are non-mental, quarks are abstracta, and yet chess and God's thoughts are mental [Rosen on Frege]
The equator is imaginary, but not fictitious; thought is needed to recognise it [Frege]
Internal questions about abstractions are trivial, and external ones deeply problematic [Carnap, by Szabó]
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
Abstracts cannot be identified with sets [Fine,K]
Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K]
Nominalists deny abstract objects, because we can have no reason to believe in their existence [Lowe]
Some abstract things have a beginning and end, so may exist in time (though not space) [Swoyer]