5 ideas
| 6408 | Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling] |
| Full Idea: In order to deduce the theorems of mathematics from purely logical axioms, Russell had to add three new axioms to those of standards logic, which were: the axiom of infinity, the axiom of choice, and the axiom of reducibility. | |
| From: A.C. Grayling (Russell [1996], Ch.2) | |
| A reaction: The third one was adopted to avoid his 'barber' paradox, but many thinkers do not accept it. The interesting question is why anyone would 'accept' or 'reject' an axiom. |
| 6414 | Two propositions might seem self-evident, but contradict one another [Grayling] |
| Full Idea: Two propositions might contradict each other despite appearing self-evident when considered separately. | |
| From: A.C. Grayling (Russell [1996], Ch.2) | |
| A reaction: Russell's proposal (Idea 5416) is important here, that self-evidence comes in degrees. If self-evidence was all-or-nothing, Grayling's point would be a major problem, but it isn't. Bonjour explores the idea more fully (e.g. Idea 3704) |
| 20887 | 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. |
| 20888 | 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? |
| 20889 | 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? |