9 ideas
| 21901 | 'Difference' refers to that which eludes capture [Deleuze, by May] |
| Full Idea: 'Difference' is a term which Deleuze uses to refer to that which eludes capture. | |
| From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03 | |
| A reaction: Presumably its ancestor is Kant's noumenon. This is one of his concepts used to 'palpate' our ossified conceptual scheme. |
| 13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
| Full Idea: The difficulties historically attributed to the axiom of choice are probably better ascribed to the law of excluded middle. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2) | |
| A reaction: The law of excluded middle was a target for the intuitionists, so presumably the debate went off in that direction. |
| 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. |
| 13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
| Full Idea: The finitist may have no conception of function, because functions are transfinite objects. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §4) | |
| A reaction: He is offering a view of Tait's. Above my pay scale, but it sounds like a powerful objection to the finitist view. Maybe there is a finitist account of functions that could be given? |
| 21908 | Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze] |
| Full Idea: Ontology can be an ontology of difference ....where what is there is not the same old things but a process of continual creation, an ontology that does not seek to reduce being to the knowable, but widens thought to palpate the unknowable. | |
| From: Gilles Deleuze (Difference and Repetition [1968]), quoted by Todd May - Gilles Deleuze 5.05 | |
| A reaction: I'm inclined to think that the first duty of ontology is to face up to the knowable. I'm not sure that probing the unknowable, with no success or prospect of it, is a good way to spend a life. Probing ('palpating') can sometimes discover things. |
| 21902 | 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze] |
| Full Idea: Being is said in a single and same sense of everything of which it is said, but that of which it is said differs: it is said of difference itself. | |
| From: Gilles Deleuze (Difference and Repetition [1968], p.36), quoted by Todd May - Gilles Deleuze 3.03 | |
| A reaction: This is an attempt to express the Heraclitean view of reality, as process, movement, multiplicity - something which always eludes our attempts to pin it down. |
| 21903 | Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May] |
| Full Idea: In Deleuze's hands ontology is not a matter of telling us what there is, but of taking us on strange adventures. | |
| From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03 | |
| A reaction: Presumably you only indulge in the strange adventure because you have no idea how to specify what there is. This sounds like the essence of post-modernism, in which life is just a game. |
| 21904 | Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May] |
| Full Idea: In Deleuze, Being is not a puzzle to be solved but a problem to be engaged. It is to be engaged by a thought that moves as comfortably among problems as it does among solutions, as fluidly among differences as it does among identities. | |
| From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 4.01 | |
| A reaction: This sounds like what I've always known as 'negative capability' (thanks to Keats). Is philosophy just a hobby, like playing darts? It seems that the aim of the process is 'liberation', about which I would like to know more. |
| 13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
| Full Idea: If experience shows that some aspect of the physical world fails to instantiate a certain mathematical structure, one will modify the theory by sustituting a different structure, while the original structure doesn't lose its status as part of mathematics. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2) | |
| A reaction: This seems to be a beautifully simple and powerful objection to the Quinean idea that mathematics somehow only gets its authority from physics. It looked like a daft view to begin with, of course. |