53 ideas
| 18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
| 15105 | F(x) walked into a bar. The barman said.. [Sommers,W] |
| 6298 | Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik] |
| 12392 | Mathematical a priorism is conceptualist, constructivist or realist [Kitcher] |
| 18078 | The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher] |
| 12426 | The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher] |
| 12395 | Real numbers stand to measurement as natural numbers stand to counting [Kitcher] |
| 12425 | Complex numbers were only accepted when a geometrical model for them was found [Kitcher] |
| 18071 | A one-operation is the segregation of a single object [Kitcher] |
| 18066 | The old view is that mathematics is useful in the world because it describes the world [Kitcher] |
| 18083 | With infinitesimals, you divide by the time, then set the time to zero [Kitcher] |
| 18061 | Mathematical intuition is not the type platonism needs [Kitcher] |
| 12420 | If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher] |
| 12393 | Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher] |
| 12387 | Mathematical knowledge arises from basic perception [Kitcher] |
| 12412 | My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher] |
| 18065 | We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher] |
| 18077 | The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher] |
| 12423 | Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher] |
| 18069 | Arithmetic is an idealizing theory [Kitcher] |
| 18068 | Arithmetic is made true by the world, but is also made true by our constructions [Kitcher] |
| 18070 | We develop a language for correlations, and use it to perform higher level operations [Kitcher] |
| 18072 | Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher] |
| 18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
| 18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
| 12408 | Sartre to Waitress: Coffee with no cream, please... [Sommers,W] |
| 12397 | Said Plato: 'The things that we feel... [Sommers,W] |
| 18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
| 12407 | Barman to Descartes: Would you like another drink?... [Sommers,W] |
| 12399 | There was a young student called Fred... [Sommers,W] |
| 20963 | A philosopher and his wife are out for a drive... [Sommers,W] |
| 12404 | Dear Sir, Your astonishment's odd.... [Sommers,W] |
| 12403 | There once was a man who said: 'God... [Sommers,W] |
| 12402 | ..But if he's a student of Berkeley... [Sommers,W] |
| 12409 | The philosopher Berkeley once said.. [Sommers,W] |
| 12390 | A priori knowledge comes from available a priori warrants that produce truth [Kitcher] |
| 12418 | In long mathematical proofs we can't remember the original a priori basis [Kitcher] |
| 12389 | Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher] |
| 12416 | We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher] |
| 14694 | "My dog's got synaesthesia." How does he smell? ..... [Sommers,W] |
| 12413 | A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher] |
| 20473 | If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo] |
| 12401 | A toper who spies in the distance... [Sommers,W] |
| 18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
| 12410 | There once was a man who said 'Damn!... [Sommers,W] |
| 9392 | How do behaviourists greet each other? [Sommers,W] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 12405 | 'If you're aristocratic,' said Nietzsche... [Sommers,W] |
| 9391 | Why do anarchists drink herbal tea? [Sommers,W] |
| 12400 | Cries the maid: 'You must marry me Hume!'... [Sommers,W] |
| 16527 | Causation - we all thought we knew it/ Till Hume came along and saw through it/…. [Sommers,W] |
| 17592 | The barman called 'Time!', and Augustine said..... [Sommers,W] |
| 15208 | The past, present and future walked into a bar.... [Sommers,W] |