Combining Philosophers

All the ideas for Archimedes, Collegium Conimbricense and Pamela Foa

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Unity by aggregation, order, inherence, composition, and simplicity [Conimbricense, by Pasnau]
     Full Idea: The Coimbrans have five degrees of unity: by aggregation (stones), by order (an army), per accidens (inherence), per se composite unity (connected), and per se unity of simple things.
     From: report of Collegium Conimbricense (Aristotelian commentaries [1595], Phys I.9.11.2) by Robert Pasnau - Metaphysical Themes 1274-1671 24.3
     A reaction: [my summary of Pasnau's summary] Take some stones, then order them, then glue them together, then melt them together. The unity of inherence is a different type of unity from these stages. This is a hylomorphic view.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Secondary qualities come from temperaments and proportions of primary qualities [Conimbricense]
     Full Idea: Colors, flavours, smells, and other secondary qualities arise from the various temperaments and proportions of the primary qualities.
     From: Collegium Conimbricense (Aristotelian commentaries [1595], I.10.4 Gen&C), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 21.2
     A reaction: This is a bit more subtle than merely mixing the primary qualities. What about the powers of the primary qualities? Presumably that is the 'temperaments'?
25. Social Practice / F. Life Issues / 5. Sexual Morality
A rape disregards the status of being a person - but so does all assault [Foa]
     Full Idea: In a rape a person is used without proper regard for her personhood - but this is true of every kind of assault.
     From: Pamela Foa (What's Wrong with Rape? [1977], 1)
     A reaction: This is a good step towards her attempt to pin down what is specifically wrong with rape, which strikes me as an extremely important question, and not merely in order to justify punishments.
Rape of children is dreadful, but no one thinks children should have a right of consent [Foa]
     Full Idea: Rape of children is at least as heinous as rape of adults, though few believe that children have or ought to have the same large domain of consent adults (male and female) ought to have.
     From: Pamela Foa (What's Wrong with Rape? [1977], 1)
     A reaction: A powerful point. She is not quite spelling out the crux, which is that no one thinks children should have a right to consent to sexual intercourse, which means that consent is irrelevant in such a case of rape. So it can't be the key to adult rape?
If men should lust and women shouldn't, that makes rape the prevalent sexual model [Foa]
     Full Idea: We are taught that sexual desires are desires women ought not to have and men must have. This is the model which makes necessary an eternal battle of the sexes. It explains why rape is the prevalent model of sexuality.
     From: Pamela Foa (What's Wrong with Rape? [1977], 3)
     A reaction: A striking thought. See 'The Origins of Sex' by F.Dabhoiwala, which claims that women used to be seen as the sexual predators, and the balance shifted in the 18thC. Are women obliged to exhibit lust, in order to defuse rapacious desires?