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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 11 ideas from 'The Limits of Abstraction'

Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert]
Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
Abstractionism can be regarded as an alternative to set theory [Fine,K]
An object is the abstract of a concept with respect to a relation on concepts [Fine,K]
Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
'Creative definitions' do not presuppose the existence of the objects defined [Fine,K]
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
Abstracts cannot be identified with sets [Fine,K]