4 ideas
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
| 9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
| Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space. | |
| From: Tyler Burge (Frege on Apriority [2000], IV) | |
| A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics. |
| 20890 | Why do sexual relationships need permanence, if other relationships don't? [Punzo] |
| Full Idea: What is the reason for demanding permanence in the relationship of sexual partners when we do not see such permanence as being importance to other human relationships? | |
| From: Vincent C. Punzo (Morality and Human Sexuality [1969], p.220) | |
| A reaction: The distinction may not be that simple. 'Loyalty' must certainly be mentioned. Friends can legitimately drift apart, but to desert a close friend at a time of great need might be as great a crime as adultery. When is loyalty particularly needed? |
| 20891 | Does engaging in sexual intercourse really need no more thought than playing tennis? [Punzo] |
| Full Idea: It seems strange for a man and a woman to give no more thought to the question of whether they should engage in sexual intercourse than to the question of whether they shoud play tennis. | |
| From: Vincent C. Punzo (Morality and Human Sexuality [1969], p.221) | |
| A reaction: This strikes me as a reasonable point, but times have moved on since 1969, and for plenty of people nowadays playing tennis is a bigger issue than having sex, because of the time, equipment and effort involved. |