Combining Texts

All the ideas for 'fragments/reports', 'Grundrisse' and 'Is Hume's Principle analytic?'

unexpand these ideas     |    start again     |     specify just one area for these texts


3 ideas

18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos]
     Full Idea: Hume's Principle has a structure Boolos calls an 'abstraction principle'. Within the scope of two universal quantifiers, a biconditional connects an identity between two things and an equivalence relation. It says we don't care about other differences.
     From: George Boolos (Is Hume's Principle analytic? [1997]), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 3.7
     A reaction: This seems to be the traditional principle of abstraction by ignoring some properties, but dressed up in the clothes of formal logic. Frege tries to eliminate psychology, but Boolos implies that what we 'care about' is relevant.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The real will of the cooperative will replace the 'will of the people' [Marx]
     Full Idea: Under collective property, the so called will of the people disappears in order to make way for the real will of the cooperative.
     From: Karl Marx (Grundrisse [1876], p.563), quoted by Peter Singer - Marx 10
     A reaction: [from an 1874 note on Bakunin's 'Statism and Anarchy'] So how do you settle on the 'real' will of a cooperative? The travesty is when a ruling elite decide that, without consultation. An institution is needed. This is still a social contract.