9 ideas
| 15927 | Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine] |
| Full Idea: For mathematics, Weyl arrived (by 1917) at a satisfactory list of definition principles: negation, identification of variables, conjunction, disjunction, substitution of constants, and existential quantification over the domain. | |
| From: report of Hermann Weyl (works [1917]) by Shaughan Lavine - Understanding the Infinite V.3 | |
| A reaction: Lavine summarises this as 'first-order logic with parameters'. |
| 16643 | Accidents always remain suited to a subject [Bonaventura] |
| Full Idea: An accident's aptitudinal relationship to a subject is essential, and this is never taken away from accidents….for it is true to say that they are suited to a subject. | |
| From: Bonaventura (Commentary on Sentences [1252], IV.12.1.1.1c) | |
| A reaction: This is the compromise view that allows accidents to be separated, for Transubstantiation, while acknowledging that we identify them with their subjects. |
| 16696 | Successive things reduce to permanent things [Bonaventura] |
| Full Idea: Everything successive reduces to something permanent. | |
| From: Bonaventura (Commentary on Sentences [1252], II.2.1.1.3 ad 5), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.2 | |
| A reaction: Avicenna first took successive entities seriously, but Bonaventure and Aquinas seem to have rejected them, or given reductive accounts of them. It resembles modern actualists versus modal realists. |
| 21733 | The right-wing conception of freedom is based on the idea of self-ownership [Cohen,GA] |
| Full Idea: The right-wing conception of freedom is, I think, founded on the idea that each person is the morally rightful owner of himself, even if existing legal systems do not acknowledge it. Let us call that the 'self-ownership' thesis. | |
| From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 1) | |
| A reaction: He cites Nozick as articulating this view. At the end Cohen rejects self-ownership, though he agrees that no one would accept that the state could be the owner of your eyes. Do I own my hair after it is cut? |
| 21739 | Plenty of people have self-ownership, but still lack autonomy [Cohen,GA] |
| Full Idea: Universal self-ownership fails to ensure autonomy, since it tends to produce proletarians, who lack it. | |
| From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 3) | |
| A reaction: The implication is that autonomy is not a property of individuals but a social phenomenon. Self-owning people can still be imprisoned. What about autonomy without self-ownership? A bright slave who is given extensive responsibility? |
| 21736 | It is doubtful whether any private property was originally acquired legitimately [Cohen,GA] |
| Full Idea: It is easy to doubt that much actually existing private property was formed in what anyone could think was a legitimating way. | |
| From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 2) | |
| A reaction: What if I created an artificial island out of unwanted raw materials? What about the first humans to reach some remote territory? |
| 21734 | It is plausible that no one has an initial right to own land and natural resources [Cohen,GA] |
| Full Idea: One may plausibly say of external things in their initial state, of raw land and natural resources, that no person has a greater right to them than any other does. | |
| From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 1) | |
| A reaction: How about if your group has lived on that plot for fifty generations, and some interlopers arrive and claim part of it. No one thought of 'owning' it till the interlopers arrived. Native Americans and Australians. |
| 21735 | Every thing which is now private started out as unowned [Cohen,GA] |
| Full Idea: In the prehistory of anything that is now private property there was at least one moment at which something privately unowned was taken into private ownership. | |
| From: G.A. Cohen (Are Freedom and Equality Compatible? [1986], 2) | |
| A reaction: He is obviously talking about land and natural resources. Presumably a table which I made and own was always private property, although the land where the trees were grown was not. Though in some communities what I make could be automatically communal. |
| 10246 | The limit of science is isomorphism of theories, with essences a matter of indifference [Weyl] |
| Full Idea: A science can determine its domain of investigation up to an isomorphic mapping. It remains quite indifferent as to the 'essence' of its objects. The idea of isomorphism demarcates the self-evident boundary of cognition. | |
| From: Hermann Weyl (Phil of Mathematics and Natural Science [1949], 25-7), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: Shapiro quotes this in support of his structuralism, but it is a striking expression of the idea that if there are such things as essences, they are beyond science. I take Weyl to be wrong. Best explanation reaches out beyond models to essences. |