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All the ideas for 'works (fragments)', 'Philosophy of Mathematics' and 'Critique of Judgement I: Aesthetic'

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24 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]