4 ideas
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. |
7439 | The qualities involved in sensations are entirely intentional [Anscombe, by Armstrong] |
Full Idea: Anscombe argued that the qualities involved in sensations are one and all intentional only (and I think this holds even for the bodily sensations). | |
From: report of G.E.M. Anscombe (The Intentionality of Sensation [1965]) by David M. Armstrong - Pref to new 'Materialist Theory' p.xxii | |
A reaction: Compare Harry Gildersleve's exactly opposite proposal in Idea 7272. I think I am coming round to the Anscombe view, which builds the more mysterious up from the less mysterious. Gildersleve must explain how atomic qualia arise. |
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. |