Combining Texts

All the ideas for 'fragments/reports', 'Logicism Revisited' and 'Critique of Judgement I: Aesthetic'

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25 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
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]
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
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
Kant thinks beauty ignores its objects, because it is only 'form' engaging with mind [Cochrane on Kant]
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]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]