Combining Texts

All the ideas for 'Defending the Axioms', 'Aristotle on Substance' and 'Critique of Judgement I: Aesthetic'

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25 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
9. Objects / C. Structure of Objects / 3. Matter of an Object
16083 Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
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]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
17006 Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
16093 Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]