Ideas from 'Logic (Port-Royal Art of Thinking)' by Arnauld / Nicole [1662], by Theme Structure

[found in 'Logic, or the Art of Thinking (Port-Royal)' by Arnauld,A/Nicole,P (ed/tr Buroker,J.V.) [CUP 1996,0-521-48394-8]].

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7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
We can rise by degrees through abstraction, with higher levels representing more things
12. Knowledge Sources / B. Perception / 3. Representation
We can only know the exterior world via our ideas
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by essence
Forms make things distinct and explain the properties, by pure form, or arrangement of parts
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We know by abstraction because we only understand composite things a part at a time
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
A triangle diagram is about all triangles, if some features are ignored
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
No one denies that a line has width, but we can just attend to its length