6 ideas
| 19086 | 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). |
| 19093 | 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). |
| 13166 | Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu] |
| Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties). | |
| From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1) | |
| A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it. |
| 19091 | 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. |
| 20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
| Full Idea: There are six 'reductive levels' in science: social groups, (multicellular) living things, cells, molecules, atoms, and elementary particles. | |
| From: report of H.Putnam/P.Oppenheim (Unity of Science as a Working Hypothesis [1958]) by Peter Watson - Convergence 10 'Intro' | |
| A reaction: I have the impression that fields are seen as more fundamental that elementary particles. What is the status of the 'laws' that are supposed to govern these things? What is the status of space and time within this picture? |
| 19088 | 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. |