3 ideas
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |
From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |
A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |
23559 | We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M] |
Full Idea: Craig's explanation of why we have the concept of knowledge is that it arises from our fundamental need to distinguish good informants. | |
From: report of Edward Craig (Knowledge and the State of Nature [1990]) by Miranda Fricker - Epistemic Injustice 6.1 | |
A reaction: That is, why do we have the label 'knowledge', in addition to 'true belief'? This strikes me as a good explanation which had never occurred to me. Every social group needs to identify members who have some authority in knowledge of various areas of life. |
14367 | An explanation is a causal graph [Woodward,J, by Strevens] |
Full Idea: On Woodward's manipulationist view, an explanation would take the form of a causal graph. | |
From: report of James Woodward (Making Things Happen [2003]) by Michael Strevens - No Understanding without Explanation 1 | |
A reaction: The idea is that causation is all to do with how nature responds when you try to manipulate it. I'm certainly in favour of tying explanation closely to causation. |