8 ideas
| 6855 | Interesting philosophers hardly every give you explicitly valid arguments [Martin,M] |
| Full Idea: Notice that very few philosophers - certainly almost none of the ones who are interesting to read - give you explicitly valid arguments. | |
| From: Michael Martin (Interview with Baggini and Stangroom [2001], p.134) | |
| A reaction: I never thought that was going to happen in philosophy. What I do get is, firstly, lots of interesting reasons for holding beliefs, and a conviction that good beliefs need good reasons, and, secondly, a really coherent view of the world. |
| 6856 | Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M] |
| Full Idea: Putting forward a valid argument isn't necessarily going to succeed in getting someone to see things your way, because if they don't accept the conclusion, they ask which premises they should reject, or whether an illegitimate assumption is being made. | |
| From: Michael Martin (Interview with Baggini and Stangroom [2001], p.136) | |
| A reaction: Valid arguments are still vital. It is just that good philosophers realise the problem noted here, and spend huge stretches of discussion on establishing acceptance of premises, and showing that there are no dodgy presuppositions. |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 05) |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 06) | |
| A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job. |
| 6857 | An error theory of perception says our experience is not as it seems to be [Martin,M] |
| Full Idea: You can end up with an error theory of perception, which says our experience is not as it seems to be, as bizarre as that might be. | |
| From: Michael Martin (Interview with Baggini and Stangroom [2001], p.140) | |
| A reaction: This is because of the clash between subjective and objective aspects of perception. It is an enticing proposal, just the sort of thing I pay philosophers to come up with. Given oddities like blindsight, I think it should be taken seriously. |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 13) | |
| A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one. |
| 16713 | Philosophers are the forefathers of heretics [Tertullian] |
| Full Idea: Philosophers are the forefathers of heretics. | |
| From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2 |
| 6610 | I believe because it is absurd [Tertullian] |
| Full Idea: I believe because it is absurd ('Credo quia absurdum est'). | |
| From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2 | |
| A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though. |