Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'The Beautiful in Music' and 'Letters to Frege'

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6 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

13365	Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
	Full Idea: Russell's Paradox is a stripped-down version of Cantor's Paradox.
	From: comment on Bertrand Russell (Letters to Frege [1902]) by Graham Priest - The Structure of Paradoxes of Self-Reference §2

10711	Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
	Full Idea: Russell's paradox showed that we cannot consistently assume what is sometimes called the 'naïve comprehension principle', namely that every property is collectivizing.
	From: comment on Bertrand Russell (Letters to Frege [1902]) by Michael Potter - Set Theory and Its Philosophy 03.6

8. Modes of Existence / B. Properties / 11. Properties as Sets

9127	Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]
	Full Idea: Russell refuted Frege's principle that there is a set for each property.
	From: report of Bertrand Russell (Letters to Frege [1902], 1904.12.12) by Roy Sorensen - Vagueness and Contradiction 6.1
	A reaction: This is the principle stumbling block to any attempt to explain properties purely in terms of sets. I would say that Russell proved there couldn't be a set for each predicate. You can't glibly equate proper properties with predicates.

18. Thought / C. Content / 6. Broad Content

7531	We don't assert private thoughts; the objects are part of what we assert [Russell]
	Full Idea: I believe Mont Blanc itself is a component part of what is actually asserted in the proposition 'Mont Blanc is more than 4000 metres high'; we do not assert the thought, which is a private psychological matter, but the object of the thought.
	From: Bertrand Russell (Letters to Frege [1902], 1904.12.12), quoted by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4
	A reaction: This would appear to be pretty much externalism about concepts, given that Russell would accept that other people know much more about Mont Blanc than he does, and their knowledge is included in what he asserts.

21. Aesthetics / C. Artistic Issues / 4. Emotion in Art

20344	Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]
	Full Idea: Hanslick concluded from the fact that music doesn't express definite feelings like piety, love, joy, or sadness, that it isn't an art of expression.
	From: report of Eduard Hanslick (The Beautiful in Music [1854]) by Richard Wollheim - Art and Its Objects 48
	A reaction: Whether music is 'expressive' (which it may not be) should not be confused with whether it is emotional, which it clearly is, even in its coolest examples. Hanslick viewed music as a code, not a language.

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

7903	The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
	Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
	From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
	A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').