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10502
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We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
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Full Idea:
I can start with a triangle, and rise by degrees to all straight-lined figures and to extension itself. The lower degree will include the higher degree. Since the higher degree is less determinate, it can represent more things.
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From:
Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
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A reaction:
[compressed] This attempts to explain the generalising ability of abstraction cited in Idea 10501. If you take a complex object and eliminate features one by one, it can only 'represent' more particulars; it could hardly represent fewer.
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21971
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Transcendental philosophy is the subject becoming the originator of unified reality [Kant]
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Full Idea:
Transcendental philosophy is the act of consciousness whereby the subject becomes the originator of itself and, thereby, of the whole object of technical-practical and moral-practical reason in one system - ordering all things in God
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From:
Immanuel Kant (Posthumous notes [1799], 21:78, p.245), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06 App
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A reaction:
This is evidently Kant's last word on the matter (c.1799), and Moore says he was drifting close to Fichte's idealism, in which reality is actually (sort of) created by our own minds. Disappointing! God's role here is unclear.
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19554
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Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
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Full Idea:
How could we know that P and Q but not be in a position to know that P (as deniers of closure must say)? If my glass is full of wine, we know 'g is full of wine, and not full of non-wine'. How can we deny that we know it is not full of non-wine?
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From:
John Hawthorne (The Case for Closure [2005], 2)
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A reaction:
Hawthorne merely raises this doubt. Dretske is concerned with heavyweight implications, but how do you accept lightweight implications like this one, and then suddenly reject them when they become too heavy? [see p.49]
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16784
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Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
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Full Idea:
The form is what renders a thing such and distinguishes it from others, whether it is a being really distinct from the matter, according to the Schools, or whether it is only the arrangement of the parts. By this form one must explain its properties.
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From:
Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], III.18 p240), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 27.6
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A reaction:
If we ask 'what explains the properties of this thing' it is hard to avoid coming up with something that might be called the 'form'. Note that they allow either substantial or corpuscularian forms. It is hard to disagree with the idea.
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10501
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A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
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Full Idea:
If I draw an equilateral triangle on a piece of paper, ..I shall have an idea of only a single triangle. But if I ignore all the particular circumstances and focus on the three equal lines, I will be able to represent all equilateral triangles.
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From:
Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5)
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A reaction:
[compressed] They observed that we grasp composites through their parts, and now that we can grasp generalisations through particulars, both achieved by the psychological act of abstraction, thus showing its epistemological power.
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