Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Reference and Essence: seven appendices' and 'Critique of Judgement I: Aesthetic'

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23 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
14742 It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
18885 Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]
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]