Combining Texts

All the ideas for 'Logic (Port-Royal Art of Thinking)', 'The Ethical Criticism of Art' and 'Philosophy of Mathematics'

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16 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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]
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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
22687 Maybe literary assessment is evaluating the artist as a suitable friend [Gaut]
21. Aesthetics / B. Nature of Art / 2. Art as Form
22686 Formalists say aesthetics concerns types of beauty, or unity, complexity and intensity [Gaut]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22690 'Moralism' says all aesthetic merits are moral merits [Gaut]
22684 Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut]
22689 If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut]
22685 Good art does not necessarily improve people (any more than good advice does) [Gaut]