Combining Texts

All the ideas for 'The Philosophy of Logic', 'Critique of Judgement I: Aesthetic' and 'Introduction to 'Absolute Generality''

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22 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Kant gave form and status to aesthetics, and Hegel gave it content [Kant, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
The aesthetic attitude is a matter of disinterestedness [Kant, by Wollheim]
Only rational beings can experience beauty [Kant, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
With respect to the senses, taste is an entirely personal matter [Kant]
When we judge beauty, it isn't just personal; we judge on behalf of everybody [Kant]
Saying everyone has their own taste destroys the very idea of taste [Kant]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The beautiful is not conceptualised as moral, but it symbolises or resembles goodness [Kant, by Murdoch]
Kant saw beauty as a sort of disinterested pleasure, which has become separate from the good [Kant, by Taylor,C]
Beauty is only judged in pure contemplation, and not with something else at stake [Kant]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
The mathematical sublime is immeasurable greatness; the dynamical sublime is overpowering [Kant, by Pinkard]
The sublime is a moral experience [Kant, by Gardner]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Aesthetic values are not objectively valid, but we must treat them as if they are [Kant, by Scruton]
The judgement of beauty is not cognitive, but relates, via imagination, to pleasurable feelings [Kant]