8954
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Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]
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Full Idea:
The vocabulary of geometry is sufficient to identify the circle, but could not be used to identify any circular paint patch. The reason must be that the circle lacks certain properties that can distinguish paint patches from one another.
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From:
Zoltán Gendler Szabó (Nominalism [2003], 2.2)
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A reaction:
I take this to be support for the traditional view, that abstractions are created by omitting some of the properties of physical objects. I take them to be fictional creations, reified by language, and not actual hidden entities that have been observed.
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8955
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Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]
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Full Idea:
In current discussions, abstract entities are usually distinguished as 1) in principle imperceptible, 2) incapable of causal interaction, 3) not located in space-time. The first is often explained by the second, which is in turn explained by the third.
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From:
Zoltán Gendler Szabó (Nominalism [2003], 2.2)
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A reaction:
Szabó concludes by offering 3 as the sole criterion of abstraction. As Lewis points out, the Way of Negation for defining abstracta doesn't tell us very much. Courage may be non-spatiotemporal, but what about Alexander the Great's courage?
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5467
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Euler said nature is instrinsically passive, and minds cause change [Euler, by Ellis]
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Full Idea:
Euler thought the powers necessary for the maintenance of the changing universe would turn out to be just the passive ones of inertia and impenetrability. There are no active powers, he urged, other than those of God and living beings.
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From:
report of Leonhard Euler (Letters to a German Princess [1765]) by Brian Ellis - The Philosophy of Nature: new essentialism Ch.4
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A reaction:
Very significant, I think, for revealing the religious framework behind early theories of natural laws. If there is nothing external to impose powers and movements on nature, the source must be sought within - hence essentialism.
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