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Single Idea 10523

[filed under theme 9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta ]

Full Idea

The abstract/concrete distinction is, roughly, between those sortals whose grounding relations can hold between abstract things which are spatially but not temporally separated, those concrete things whose grounding relations cannot so hold.

Gist of Idea

Being abstract is based on a relation between things which are spatially separated

Source

Bob Hale (Abstract Objects [1987], Ch.3.III)

Book Ref

Hale,Bob: 'Abstract Objects' [Blackwell 1987], p.59


A Reaction

Thus being a father is based on 'begat', which does not involve spatial separation, and so is concrete. The relation is one of equivalence.


The 23 ideas from 'Abstract Objects'

Questions about objects are questions about certain non-vacuous singular terms [Hale]
Objections to Frege: abstracta are unknowable, non-independent, unstatable, unindividuated [Hale]
The modern Fregean use of the term 'object' is much broader than the ordinary usage [Hale]
Often the same singular term does not ensure reliable inference [Hale]
Plenty of clear examples have singular terms with no ontological commitment [Hale]
An expression is a genuine singular term if it resists elimination by paraphrase [Hale]
We should decide whether singular terms are genuine by their usage [Hale]
Realists take universals to be the referrents of both adjectives and of nouns [Hale]
We can't believe in a 'whereabouts' because we ask 'what kind of object is it?' [Hale]
We sometimes apply identity without having a real criterion [Hale]
If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
It is doubtful if one entity, a universal, can be picked out by both predicates and abstract nouns [Hale]
Many abstract objects, such as chess, seem non-spatial, but are not atemporal [Hale]
If the mental is non-spatial but temporal, then it must be classified as abstract [Hale]
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]
Shapes and directions are of something, but games and musical compositions are not [Hale]
Being abstract is based on a relation between things which are spatially separated [Hale]
If F can't have location, there is no problem of things having F in different locations [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]
There is a hierarchy of abstraction, based on steps taken by equivalence relations [Hale]
The relations featured in criteria of identity are always equivalence relations [Hale]