27 ideas
15105 | F(x) walked into a bar. The barman said.. [Sommers,W] |
Full Idea: F(x) walked into a bar. The barman said, 'Sorry, we don't cater for functions'. | |
From: Will Sommers (talk [2019]) |
10245 | One geometry cannot be more true than another [Poincaré] |
Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
15923 | Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine] |
Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects. | |
From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite |
10180 | Mathematicians do not study objects, but relations between objects [Poincaré] |
Full Idea: Mathematicians do not study objects, but relations between objects; it is a matter of indifference if the objects are replaced by others, provided the relations do not change. They are interested in form alone, not matter. | |
From: Henri Poincaré (Science and Hypothesis [1902], p.20), quoted by E Reck / M Price - Structures and Structuralism in Phil of Maths §6 | |
A reaction: This connects modern structuralism with Aritotle's interest in the 'form' of things. Contrary to the views of the likes of Frege, it is hard to see that the number '7' has any properties at all, apart from its relations. A daffodil would do just as well. |
9916 | Convention, yes! Arbitrary, no! [Poincaré, by Putnam] |
Full Idea: Poincaré once exclaimed, 'Convention, yes! Arbitrary, no!'. | |
From: report of Henri Poincaré (talk [1901]) by Hilary Putnam - Models and Reality | |
A reaction: An interesting view. It mustn't be assumed that conventions are not rooted in something. Maybe a sort of pragmatism is implied. |
18203 | Avoid non-predicative classifications and definitions [Poincaré] |
Full Idea: Never consider any objects but those capable of being defined in a finite number of word ...Avoid non-predicative classifications and definitions. | |
From: Henri Poincaré (The Logic of Infinity [1909], p.63), quoted by Penelope Maddy - Naturalism in Mathematics II.4 |
12408 | Sartre to Waitress: Coffee with no cream, please... [Sommers,W] |
Full Idea: Sartre to Waitress: Coffee with no cream, please. Waitress: Sorry, we're out of cream; would no milk do? | |
From: Will Sommers (talk [2019]) |
12397 | Said Plato: 'The things that we feel... [Sommers,W] |
Full Idea: Said Plato: 'The things that we feel/ Are not ontologically real,/ But just the excrescence/ Of numinous essence/ Our senses can never reveal.' [Basil Ransome-Davis] | |
From: Will Sommers (talk [2019]) |
12399 | There was a young student called Fred... [Sommers,W] |
Full Idea: There was a young student called Fred,/ Who was questioned on Descartes and said:/ 'It's perfectly clear/ That I'm not really here,/ For I haven't a thought in my head.' [V.R. Ormerod] | |
From: Will Sommers (talk [2019]) |
12407 | Barman to Descartes: Would you like another drink?... [Sommers,W] |
Full Idea: Barman to Descartes: Would you like another drink? Descartes: I think not (...and promptly vanishes) | |
From: Will Sommers (talk [2019]) |
20963 | A philosopher and his wife are out for a drive... [Sommers,W] |
Full Idea: A philosopher and his wife are out for a drive in the country. 'Oh look!' she says, 'Those sheep have been shorn.' 'Yes', says the philosopher, 'on this side'. | |
From: Will Sommers (talk [2019]) |
12402 | ..But if he's a student of Berkeley... [Sommers,W] |
Full Idea: (continued from 12401) ..But if he's a student of Berkeley,/ One thing will emerge, rather starkly,/ That he ought to believe/ What his senses perceive,/ No matter how dimly or darkly. [Leslie Johnson] | |
From: Will Sommers (talk [2019]) |
12409 | The philosopher Berkeley once said.. [Sommers,W] |
Full Idea: The philosopher Berkeley once said/ In the dark to a maid in his bed:/ 'No perception, my dear,/ Means I'm not really here,/ But only a thought in your head.' [P.W.R. Foot] | |
From: Will Sommers (talk [2019]) |
12403 | There once was a man who said: 'God... [Sommers,W] |
Full Idea: There once was a man who said: 'God/ Must think it exceedingly odd/ If he finds that this tree/ Continues to be,/ When there's no-one about in the Quad.' [Ronald Knox] (reply in 12404) | |
From: Will Sommers (talk [2019]) |
12404 | Dear Sir, Your astonishment's odd.... [Sommers,W] |
Full Idea: (reply to 12403) Dear Sir, Your astonishment's odd:/ I am always about in the Quad./ And that's why the tree/ Will continue to be,/ Since observed by Yours faithfully, God.' [anon] | |
From: Will Sommers (talk [2019]) |
14694 | "My dog's got synaesthesia." How does he smell? ..... [Sommers,W] |
Full Idea: "My dog's got synaesthesia." How does he smell? "Purple." | |
From: Will Sommers (talk [2019]) |
12401 | A toper who spies in the distance... [Sommers,W] |
Full Idea: A toper who spies in the distance,/ Striped tigers, will get some assistance/ From reading Descartes,/ Who holds that it's part/ Of his duty to doubt their existence. ... [Leslie Johnson] - (continued in 12402) | |
From: Will Sommers (talk [2019]) |
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? |
12410 | There once was a man who said 'Damn!... [Sommers,W] |
Full Idea: There once was a man who said 'Damn!/ It is borne in upon me I am/ An engine that moves/ In predestinate grooves:/ I'm not even a bus, I'm a tram.' [M.E. Hare] | |
From: Will Sommers (talk [2019]) |
9392 | How do behaviourists greet each other? [Sommers,W] |
Full Idea: How do behaviourists greet each other? Hi - you're fine, how am I? | |
From: Will Sommers (talk [2019]) |
12405 | 'If you're aristocratic,' said Nietzsche... [Sommers,W] |
Full Idea: 'If you're aristocratic,' said Nietzsche,/ 'It's thumbs up, you're OK. Pleased to mietzsche./ If you're working-class bores,/ It's thumbs down and up yours!/ If you don't know your place, then I'll tietzsche.' [Gerry Hamill] | |
From: Will Sommers (talk [2019]) |
9391 | Why do anarchists drink herbal tea? [Sommers,W] |
Full Idea: Why do anarchists drink herbal tea? Because proper tea is theft. | |
From: Will Sommers (talk [2019]) |
12400 | Cries the maid: 'You must marry me Hume!'... [Sommers,W] |
Full Idea: Cries the maid: 'You must marry me Hume!'/ A statement that made David fume./ He said: 'In cause and effect,/ There is a defect;/ That it's mine you can only assume.' [P.W.R. Foot] | |
From: Will Sommers (talk [2019]) |
16527 | Causation - we all thought we knew it/ Till Hume came along and saw through it/…. [Sommers,W] |
Full Idea: Causation - we all thought we knew it / Till Hume came along and saw through it / We notice that A / Follows B every day / And frankly that's all there is to it. | |
From: Will Sommers (talk [2019]) |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |
Full Idea: In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose. | |
From: report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2 | |
A reaction: I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts. |
17592 | The barman called 'Time!', and Augustine said..... [Sommers,W] |
Full Idea: The barman called 'Time!'. Augustine: 'I don't know what you mean, though I did before you said that'. | |
From: Will Sommers (talk [2019]) |
15208 | The past, present and future walked into a bar.... [Sommers,W] |
Full Idea: The past, present and future walked into a bar. It was tense. | |
From: Will Sommers (talk [2019]) |