3 ideas
| 2118 | All other human gifts can harm us, but not correct reasoning [Leibniz] |
| Full Idea: Although people can be made worse off by all other gifts, correct reasoning alone can only be for the good. | |
| From: Gottfried Leibniz (Preface to Universal Characteristic [1679]) | |
| A reaction: How about a kind heart? Not everyone would agree with the remark, but philosophers should. |
| 13166 | Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu] |
| Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties). | |
| From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1) | |
| A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |