6 ideas
| 9226 | If mathematical theories conflict, it may just be that they have different subject matter [Field,H] |
| Full Idea: Unlike logic, in the case of mathematics there may be no genuine conflict between alternative theories: it is natural to think that different theories, if both consistent, are simply about different subjects. | |
| From: Hartry Field (Recent Debates on the A Priori [2005], 7) | |
| A reaction: For this reason Field places logic at the heart of questions about a priori knowledge, rather than mathematics. My intuitions make me doubt his proposal. Given the very simple basis of, say, arithmetic, I would expect all departments to connect. |
| 9329 | Justification is coherence with a background system; if irrefutable, it is knowledge [Lehrer] |
| Full Idea: Justification is coherence with a background system which, when irrefutable, converts to knowledge. | |
| From: Keith Lehrer (Consciousness,Represn, and Knowledge [2006]) | |
| A reaction: A problem (as the theory stands here) would be whether you have to be aware that the coherence is irrefutable, which would seem to require a pretty powerful intellect. If one needn't be aware of the irrefutability, how does it help my justification? |
| 9330 | Generalization seems to be more fundamental to minds than spotting similarities [Lehrer] |
| Full Idea: There is a level of generalization we share with other animals in the responses to objects that suggest that generalization is a more fundamental operation of the mind than the observation of similarities. | |
| From: Keith Lehrer (Consciousness,Represn, and Knowledge [2006]) | |
| A reaction: He derives this from Reid (1785) - Lehrer's hero - who argued against Hume that we couldn't spot similarities if we hadn't already generalized to produce the 'respect' of the similarity. Interesting. I think Reid must be right. |
| 9328 | All conscious states can be immediately known when attention is directed to them [Lehrer] |
| Full Idea: I am inclined to think that all conscious states can be immediately known when attention is directed to them. | |
| From: Keith Lehrer (Consciousness,Represn, and Knowledge [2006]) | |
| A reaction: This strikes me as a very helpful suggestion, for eliminating lots of problem cases for introspective knowledge which have been triumphally paraded in recent times. It might, though, be tautological, if it is actually a definition of 'conscious states'. |
| 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. |