Combining Texts

All the ideas for 'Logic (Port-Royal Art of Thinking)', 'Letters to De Vries' and 'A New Kind of Science'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
20660 At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10502 We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
4869 Experience does not teach us any essences of things [Spinoza]
12. Knowledge Sources / B. Perception / 3. Representation
18258 We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
16784 Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
10499 We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
10500 No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
27. Natural Reality / C. Space / 4. Substantival Space
20659 Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]