Combining Philosophers

All the ideas for Archimedes, Edward Craig and James Woodward

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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.
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
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.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
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.