4 ideas
20660 | At one level maths and nature are very similar, suggesting some deeper origin [Wolfram] |
Full Idea: At some rather abstract level one can immediately recognise one basic similarity between nature and mathematics ...this suggests that the overall similarity between mathematics and nature must have a deeper origin. | |
From: Stephen Wolfram (A New Kind of Science [2002], p.772), quoted by Peter Watson - Convergence 17 'Philosophy' | |
A reaction: Personally I think mathematics has been derived by abstracting from the patterns in nature, and then further extrapolating from those abstractions. So the puzzle in nature is not the correspondence with mathematics, but the patterns. |
17555 | 'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas] |
Full Idea: There are two sorts of one. There is the one which is convertible with being, which adds nothing to being except being undivided; and this deprives of multitude. Then there is the principle of number, which to the notion of being adds measurement. | |
From: Thomas Aquinas (Quaestiones de Potentia Dei [1269], q3 a16 ad 3-um) | |
A reaction: [From a lecture handout] I'm not sure I understand this. We might say, I suppose, that insofar as water is water, it is all one, but you can't count it. Perhaps being 'unified' and being a 'unity' are different? |
3031 | The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius] |
Full Idea: Hearing someone assert that the greatest good was to succeed in everything that one desires, he said,"It is a much greater good to desire what is proper". | |
From: report of Menedemus (fragments/reports [c.310 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.16.12 |
20659 | Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram] |
Full Idea: It seems plausible that both space and its contents should somehow be made of the same stuff - so that in a sense space becomes the only thing in the universe. | |
From: Stephen Wolfram (A New Kind of Science [2002], p.474), quoted by Peter Watson - Convergence 17 'Philosophy' | |
A reaction: I presume the concept of a 'field' is what makes this idea possible. |