12 ideas
14767 | The demonstrations of the metaphysicians are all moonshine [Peirce] |
Full Idea: The demonstrations of the metaphysicians are all moonshine. | |
From: Charles Sanders Peirce (Concerning the Author [1897], p.2) |
14764 | I am saturated with the spirit of physical science [Peirce] |
Full Idea: I am saturated, through and through, with the spirit of the physical sciences. | |
From: Charles Sanders Peirce (Concerning the Author [1897], p.1) |
10502 | We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P] |
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. | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
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. |
14768 | Infallibility in science is just a joke [Peirce] |
Full Idea: Infallibility in scientific matters seems to me irresistibly comical. | |
From: Charles Sanders Peirce (Concerning the Author [1897], p.3) |
16721 | Changes in secondary qualities are caused by changes in primary qualities [Giles of Orleans] |
Full Idea: Every alteration in secondary qualities is caused by some alteration made in the primary qualities. | |
From: Giles of Orleans (On 'Generation and Corruption' [1270], I.6c) | |
A reaction: Pasnau calls this the 'supervenience' thesis, here with the addition of causation. Was this doctrine retained by Locke and Boyle? |
18258 | We can only know the exterior world via our ideas [Arnauld,A/Nicole,P] |
Full Idea: We can have knowledge of what is outside us only through the mediation of ideas in us. | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], p.63), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' |
14765 | Association of ideas is the best philosophical idea of the prescientific age [Peirce] |
Full Idea: The doctrine of the association of ideas is, to my thinking, the finest piece of philosophical work of the prescientific ages. | |
From: Charles Sanders Peirce (Concerning the Author [1897], p.2) |
14766 | Duns Scotus offers perhaps the best logic and metaphysics for modern physical science [Peirce] |
Full Idea: The works of Duns Scotus have strongly influenced me. …His logic and metaphysics, torn away from its medievalism, …will go far toward supplying the philosophy which is best to harmonize with physical science. | |
From: Charles Sanders Peirce (Concerning the Author [1897], p.2) |
16784 | Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P] |
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. | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], III.18 p240), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 27.6 | |
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. |
10499 | We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P] |
Full Idea: The mind cannot perfectly understand things that are even slightly composite unless it considers them a part at a time. ...This is generally called knowing by abstraction. (..the human body, for example). | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
A reaction: This adds the interesting thought that the mind is forced to abstract, rather than abstraction being a luxury extra feature. Knowledge through analysis is knowledge by abstraction. Also a nice linking of abstraction to epistemology. |
10501 | A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P] |
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. | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
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. |
10500 | No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P] |
Full Idea: Geometers by no means assume that there are lines without width or surfaces without depth. They only think it is possible to consider the length without paying attention to the width. We can measure the length of a path without its width. | |
From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
A reaction: A nice example which makes the point indubitable. The modern 'rigorous' account of abstraction that starts with Frege seems to require more than one object, in order to derive abstractions like direction or number. Path widths are not comparatives. |