Combining Texts

All the ideas for 'What are Sets and What are they For?', 'Scepticism' and 'Critique of Judgement I: Aesthetic'

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26 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
12157 Kant gave form and status to aesthetics, and Hegel gave it content [Kant, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
20346 The aesthetic attitude is a matter of disinterestedness [Kant, by Wollheim]
18547 Only rational beings can experience beauty [Kant, by Scruton]
24172 It is hard to see why we would have developed Kant's 'disinterested' aesthetic attitude [Cochrane on Kant]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
20408 With respect to the senses, taste is an entirely personal matter [Kant]
20409 When we judge beauty, it isn't just personal; we judge on behalf of everybody [Kant]
20411 Saying everyone has their own taste destroys the very idea of taste [Kant]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
24170 Kant thinks beauty ignores its objects, because it is only 'form' engaging with mind [Cochrane on Kant]
22711 The beautiful is not conceptualised as moral, but it symbolises or resembles goodness [Kant, by Murdoch]
4025 Kant saw beauty as a sort of disinterested pleasure, which has become separate from the good [Kant, by Taylor,C]
20412 Beauty is only judged in pure contemplation, and not with something else at stake [Kant]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
22046 The mathematical sublime is immeasurable greatness; the dynamical sublime is overpowering [Kant, by Pinkard]
21458 The sublime is a moral experience [Kant, by Gardner]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
5643 Aesthetic values are not objectively valid, but we must treat them as if they are [Kant, by Scruton]
20410 The judgement of beauty is not cognitive, but relates, via imagination, to pleasurable feelings [Kant]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
20365 We only see points in motion, and thereby infer movement [Rescher]