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Single Idea 8770
[filed under theme 18. Thought / E. Abstraction / 3. Abstracta by Ignoring
]
Full Idea
I call 'abstractionism' the doctrine that a concept is acquired by a process of singling out in attention some one feature given in direct experience - abstracting it - and ignoring the other features simultaneously given - abstracting from them.
Gist of Idea
'Abstractionism' is acquiring a concept by picking out one experience amongst a group
Source
Peter Geach (Mental Acts: their content and their objects [1957], §6)
Book Ref
Geach,Peter: 'Mental Acts: Their content and their objects' [RKP 1971], p.18
A Reaction
Locke seems to be the best known ancestor of this view, and Geach launches a vigorous attack against it. However, contemporary philosophers still refer to the process, and I think Geach should be crushed and this theory revived.
The
23 ideas
with the same theme
[creating abstractions by ignoring some features]:
9792
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Mathematicians study quantity and continuity, and remove the perceptible features of things
[Aristotle]
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9077
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Mathematicians suppose inseparable aspects to be separable, and study them in isolation
[Aristotle]
|
9788
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Mathematicians study what is conceptually separable, and doesn't lead to error
[Aristotle]
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9094
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Mathematical objects abstract both from perceived matter, and from particular substance
[Aquinas]
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10505
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We can just think of an apple's colour, because the apple is not part of the colour's nature
[Aquinas]
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10504
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Abstracting either treats something as separate, or thinks of it separately
[Aquinas]
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10507
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Numbers and shapes are abstracted by ignoring their sensible qualities
[Aquinas]
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13186
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Universals are just abstractions by concealing some of the circumstances
[Leibniz]
|
9189
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Dedekind said numbers were abstracted from systems of objects, leaving only their position
[Dedekind, by Dummett]
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9827
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We derive the natural numbers, by neglecting everything of a system except distinctness and order
[Dedekind]
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9890
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The modern account of real numbers detaches a ratio from its geometrical origins
[Frege]
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10803
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Frege himself abstracts away from tone and color
[Yablo on Frege]
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9988
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If we abstract 'from' two cats, the units are not black or white, or cats
[Tait on Frege]
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9579
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Disregarding properties of two cats still leaves different objects, but what is now the difference?
[Frege]
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9587
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How do you find the right level of inattention; you eliminate too many or too few characteristics
[Frege]
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8770
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'Abstractionism' is acquiring a concept by picking out one experience amongst a group
[Geach]
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8904
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The Way of Abstraction says an incomplete description of a concrete entity is the complete abstraction
[Lewis]
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9567
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Maths deals with quantities of physical significance, ignoring irrelevant features
[Geroch]
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8512
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Abstractions come before the mind by concentrating on a part of what is presented
[Campbell,K]
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10217
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We can apprehend structures by focusing on or ignoring features of patterns
[Shapiro]
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9554
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We can focus on relations between objects (like baseballers), ignoring their other features
[Shapiro]
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9626
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A structure is an abstraction, focussing on relationships, and ignoring other features
[Shapiro]
|
17316
|
We can abstract to a dependent entity by blocking out features of its bearer
[Koslicki]
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