26 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]) |
8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
Full Idea: The modal structuralist thinks of mathematical structures as possibilities. The application of mathematics is just the realisation that a possible structure is actualised. As structures are possibilities, realist ontological problems are avoided. | |
From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Michèle Friend - Introducing the Philosophy of Mathematics 4.3 | |
A reaction: Friend criticises this and rejects it, but it is appealing. Mathematics should aim to be applicable to any possible world, and not just the actual one. However, does the actual world 'actualise a mathematical structure'? |
9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
Full Idea: Hellman represents statements of pure mathematics as elliptical for modal conditionals of a certain sort. | |
From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Charles Chihara - A Structural Account of Mathematics 5.3 | |
A reaction: It's a pity there is such difficulty in understanding conditionals (see Graham Priest on the subject). I intuit a grain of truth in this, though I take maths to reflect the structure of the actual world (with possibilities being part of that world). |
10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
Full Idea: The usual way to show that a sentence is possible is to show that it has a model, but for Hellman presumably a sentence is possible if it might have a model (or if, possibly, it has a model). It is not clear what this move brings us. | |
From: comment on Geoffrey Hellman (Mathematics without Numbers [1989]) by Stewart Shapiro - Philosophy of Mathematics 7.3 | |
A reaction: I can't assess this, but presumably the possibility of the model must be demonstrated in some way. Aren't all models merely possible, because they are based on axioms, which seem to be no more than possibilities? |
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]) |
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]) |
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]) |
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]) |
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]) |
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]) |
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]) |
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]) |
12893 | Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S] |
Full Idea: Contextualism explains the appeal of sceptical arguments by allowing that the claims of the sceptic are true, relative to the very strict context in which they are made. | |
From: Stewart Cohen (Contextualism Defended [2005], p.57) | |
A reaction: This strikes me a right. I've always thought that global scepticism must be conceded if we are being very strict indeed about justification, but also that it is ridiculous to be that strict. So the epistemological question is 'How strict should we be?' |
12896 | Knowledge is context-sensitive, because justification is [Cohen,S] |
Full Idea: The context-sensitivity of knowledge is inherited from one of its components, i.e. justification. | |
From: Stewart Cohen (Contextualism Defended [2005], p.68) | |
A reaction: I think this is exactly right - that there is nothing relative or contextual about what is actually true, or what someone believes, but knowleddge is wholly relative because it rests on shifting standards of justification. |
12894 | There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S] |
Full Idea: The problem for invariantism is that competent speakers, under sceptical pressure, tend to deny that we know even the most conspicuous facts of perception, the clearest memories etc. | |
From: Stewart Cohen (Contextualism Defended [2005], p.58) | |
A reaction: This is aimed at Idea 12892. This seems to me a strong response to the rather weak invariantist case (that there is 'really and truly' only one invariant standard for knowledge). Full strength scepticism about everything demolishes all knowledge. |
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]) |
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]) |
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]) |