Combining Texts

All the ideas for 'reports', 'Critique of Judgement I: Aesthetic' and 'Realism in Mathematics'

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18 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
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]