5 ideas
18883 | Any equivalence relation among similar things allows the creation of an abstractum [Simons] |
Full Idea: Whenever we have an equivalence relation among things - such as similarity in a certain respect - we can abstract under the equivalence and consider the abstractum. | |
From: Peter Simons (Modes of Extension: comment on Fine [2008], p.19) | |
A reaction: This strikes me as dressing up old-fashioned psychological abstractionism in the respectable clothing of Fregean equivalences (such as 'directions'). We can actually do what Simons wants without the precision of partitioned equivalence classes. |
18884 | Abstraction is usually seen as producing universals and numbers, but it can do more [Simons] |
Full Idea: Abstraction as a cognitive tool has been associated predominantly with the metaphysics of universals and of mathematical objects such as numbers. But it is more widely applicable beyond this standard range. I commend its judicious use. | |
From: Peter Simons (Modes of Extension: comment on Fine [2008], p.21) | |
A reaction: Personally I think our view of the world is founded on three psychological principles: abstraction, idealisation and generalisation. You can try to give them rigour, as 'equivalence classes', or 'universal quantifications', if it makes you feel better. |
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? |
22381 | Being a good father seems to depend on intentions, rather than actual abilities [Foot] |
Full Idea: Being a good father, or daughter, or friend seems to depend on one's intentions, rather than on such things as cleverness and strength. | |
From: Philippa Foot (Goodness and Choice [1961], p.138) | |
A reaction: Not sure about that. In wartime a good father might need to be actually brave, and in times of hardship be actually economically successful. 'He meant well, but he was a hopeless father'? |
22380 | Some words, such as 'knife', have a meaning which involves its function [Foot] |
Full Idea: The word 'knife' names an object in respect of its function. That is not to say (simply) that it names an object which has a function, but also that the function is involved in the meaning of the word. | |
From: Philippa Foot (Goodness and Choice [1961], p.134) | |
A reaction: It seems faintly possible that someone (a child, perhaps) could know the word and recognise the object, but not know what the object is for. Ditto with other things which have functional names. |