5 ideas
4442 | Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong] |
Full Idea: Modern upholders of universals generally reject self-predication; humanity is not a man, whiteness is not a white thing. This means that the Third Man argument does not constitute a difficulty. | |
From: David M. Armstrong (Universals and Particulars [1995], p.506) | |
A reaction: This certainly seems right, and is relevant to the modern problem of the content of thought. The idea of a tree does not need to be tree-like. |
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. |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
Full Idea: Archelaus was the first person to say that the universe is boundless. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |