Combining Philosophers

All the ideas for Archimedes, Wolfgang Knne and Danielle Macbeth

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6 ideas

2. Reason / D. Definition / 12. Paraphrase
The idea of 'making' can be mere conceptual explanation (like 'because') [Künne]
     Full Idea: If we say 'being a child of our parent's sibling makes him your first cousin', that can be paraphrased using 'because', and this is the 'because' of conceptual explanation: the second part elucidates the sense of the first part.
     From: Wolfgang Künne (Conceptions of Truth [2003], 3.5.2)
     A reaction: Fans of truth-making are certainly made uncomfortable by talk of 'what makes this a good painting' or 'this made my day'. They need a bit more sharpness to the concept of 'making' a truth.
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
     Full Idea: Peirce and Sellars takes Peirce's conception of meaning, on which pragmatism is founded, to support an adequate account of objective truth; James, Dewey and Rorty say it forecloses all possibility of such an account.
     From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.169)
     A reaction: Ah. Very helpful. I thought there was a pragmatic theory of truth, then began to think that it was just a denial of truth. I've long suspected that Peirce is wonderful, and James is not very good (on this topic).
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.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
     Full Idea: Ancient mathematical concepts were essentially sensory; they were not mathematical in our sense - that is, wholly constituted by their inferential potential.
     From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.187)
     A reaction: The latter view is Frege's, though I suppose it had been emerging for a couple of centuries before him. I like the Greek approach, and would love to see that reunited with the supposedly quite different modern view. (Keith Hossack is attempting it).
14. Science / B. Scientific Theories / 1. Scientific Theory
Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
     Full Idea: As mathematically understood, the world is not an object of experience but instead an object of thought.
     From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.183)
     A reaction: Since I am keen on citing biology to show that science does not have to be mathematical, this nicely shows that there is something wrong with a science which places a large gap between itself and the world.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
For pragmatists a concept means its consequences [Macbeth]
     Full Idea: In the pragmatist view, the meaning of a concept is exhausted by its consequences.
     From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.173)
     A reaction: I'm unclear why the concept of a volcanic eruption only concerns its dire consequences, and is supposed to contain nothing of its causes. Pragmatists seem to be all future, and no past. Very American.