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Single Idea 9878
[filed under theme 9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
]
Full Idea
Wright says we should accord to contextually defined abstract terms a genuine full-blown reference to objects.
Gist of Idea
Contextually defined abstract terms genuinely refer to objects
Source
report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michael Dummett - Frege philosophy of mathematics Ch.18
Book Ref
Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.226
A Reaction
This is the punch line of Wright's neo-logicist programme. See Idea 9868 for his view of reference. Dummett regards this strong view of contextual definition as 'exorbitant'. Wright's view strikes me as blatantly false.
Related Idea
Idea 9868
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
The
17 ideas
with the same theme
[examples amd principles of modern abstracta]:
12939
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Wholly uniform things like space and numbers are mere abstractions
[Leibniz]
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10309
|
Frege says singular terms denote objects, numerals are singular terms, so numbers exist
[Frege, by Hale]
|
10550
|
Frege establishes abstract objects independently from concrete ones, by falling under a concept
[Frege, by Dummett]
|
18269
|
Logical objects are extensions of concepts, or ranges of values of functions
[Frege]
|
8719
|
There can be impossible and contradictory objects, if they can have properties
[Meinong, by Friend]
|
10543
|
Abstract objects must have names that fall within the range of some functional expression
[Dummett]
|
9859
|
It is absurd to deny the Equator, on the grounds that it lacks causal powers
[Dummett]
|
9860
|
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object
[Dummett]
|
9858
|
Abstract objects nowadays are those which are objective but not actual
[Dummett]
|
10489
|
We deal with abstract objects all the time: software, poems, mistakes, triangles..
[Boolos]
|
10415
|
Properties make round squares and round triangles distinct, unlike exemplification
[Zalta, by Swoyer]
|
9878
|
Contextually defined abstract terms genuinely refer to objects
[Wright,C, by Dummett]
|
9969
|
The empty set is the purest abstract object
[Jubien]
|
10626
|
Objects just are what singular terms refer to
[Hale/Wright]
|
7699
|
Numbers, sets and propositions are abstract particulars; properties, qualities and relations are universals
[Jacquette]
|
7783
|
Bodies, properties, relations, events, numbers, sets and propositions are 'things' if they exist
[Lowe]
|
10307
|
The modern Fregean use of the term 'object' is much broader than the ordinary usage
[Hale]
|