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All the ideas for 'fragments/reports', 'Set Theory' and 'The Philosophy of Art (2nd ed)'

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38 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
'Necessary' conditions are requirements, and 'sufficient' conditions are guarantees [Davies,S]
2. Reason / D. Definition / 1. Definitions
A definition of a thing gives all the requirements which add up to a guarantee of it [Davies,S]
2. Reason / D. Definition / 13. Against Definition
Feminists warn that ideologies use timeless objective definitions as a tool of repression [Davies,S]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Constructibility: V = L (all sets are constructible) [Kunen]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
19. Language / F. Communication / 1. Rhetoric
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Aesthetic experience involves perception, but also imagination and understanding [Davies,S]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
The faculty of 'taste' was posited to explain why only some people had aesthetic appreciation [Davies,S]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
The sublime is negative in awareness of insignificance, and positive in showing understanding [Davies,S]
21. Aesthetics / B. Nature of Art / 1. Defining Art
The idea that art forms are linked into a single concept began in the 1740s [Davies,S]
Defining art as representation or expression or form were all undermined by the avant-garde [Davies,S]
'Aesthetic functionalism' says art is what is intended to create aesthetic experiences [Davies,S]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Music may be expressive by being 'associated' with other emotional words or events [Davies,S]
It seems unlikely that sad music expresses a composer's sadness; it takes ages to write [Davies,S]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
The 'institutional' theory says art is just something appropriately placed in the 'artworld' [Davies,S]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music is too definite to be put into words (not too indefinite!) [Davies,S]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
The title of a painting can be vital, and the artist decrees who the portrait represents [Davies,S]
We must know what the work is meant to be, to evaluate the artist's achievement [Davies,S]
Intentionalism says either meaning just is intention, or ('moderate') meaning is successful intention [Davies,S]
The meaning is given by the audience's best guess at the author's intentions [Davies,S]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
If we could perfectly clone the Mona Lisa, the original would still be special [Davies,S]
Art that is multiply instanced may require at least one instance [Davies,S]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Music isn't just sad because it makes the listener feel sad [Davies,S]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
If the depiction of evil is glorified, that is an artistic flaw [Davies,S]
It is an artistic defect if excessive moral outrage distorts the story, and narrows our sympathies [Davies,S]
A work which seeks approval for immorality, but alienates the audience, is a failure [Davies,S]
Immorality may or may not be an artistic defect [Davies,S]