3 ideas
| 8920 | Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz] |
| Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'. | |
| From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9) | |
| A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part |
| 18431 | Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards] |
| Full Idea: Simons's 'nuclear' option blends features of the substratum and bundle theories. First we have tropes collected by virtue of their internal relations, forming the essential kernel or nucleus. This nucleus then bears the non-essential tropes. | |
| From: report of Peter Simons (Particulars in Particular Clothing [1994], p.567) by Douglas Edwards - Properties 3.5 | |
| A reaction: [compression of Edwards's summary] This strikes me as being a remarkably good theory. I am not sure of the ontological status of properties, such that they can (unaided) combine to make part of an object. What binds the non-essentials? |
| 5319 | Avoid punishment, then get rewards, avoid rejection, avoid guilt, accept contracts, follow conscience [Kohlberg, by Wilson,EO] |
| Full Idea: Kohlberg's six stages of ethical development are: 1) avoid punishment, 2) obtain rewards, 3) avoid rejection, 4) avoid censure and guilt, 5) recognise contracts, 6) individual conscience. | |
| From: report of Lawrence Kohlberg (works [1969]) by Edmund O. Wilson - On Human Nature p.166 | |
| A reaction: This doesn't throw much light on philosophical problems, but the order of the six stages is interesting. Beware of oversimplification, because a situation can put pressure on any one of these six aspects of morality. |