12 ideas
| 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. |
| 15533 | We can quantify over fictions by quantifying for real over their names [Lewis] |
| Full Idea: Substitutionalists simulate quantification over fictional characters by quantifying for real over fictional names. | |
| From: David Lewis (Noneism or Allism? [1990], p.159) | |
| A reaction: I would say that a fiction is a file of conceptual information, identified by a label. The label brings baggage with it, and there is no existence in the label. |
| 15534 | We could quantify over impossible objects - as bundles of properties [Lewis] |
| Full Idea: We can quantify over Meinongian objects by quantifying for real over property bundles (such as the bundle of roundness and squareness). | |
| From: David Lewis (Noneism or Allism? [1990], p.159) |
| 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? |
| 15532 | 'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis] |
| Full Idea: An expansive friend of the controversial entities who says they all exist may be called an 'allist'; a tough desert-dweller who says that none of them exist may be called a 'noneist'. | |
| From: David Lewis (Noneism or Allism? [1990], p.152) | |
| A reaction: Lewis gives examples of the obvious and the controversial entities. Lewis implies that he himself is in between. The word 'desert' is a reference to Quine. |
| 15535 | We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis] |
| Full Idea: If 'existence' is understood so that it can be a substantive thesis that only some of the things there are exist, we will have none of it. | |
| From: David Lewis (Noneism or Allism? [1990], p.163) | |
| A reaction: Lewis is a strong advocate, following Quine, of the univocal sense of the word 'exist', and I agree with them. |
| 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. |
| 21315 | A tree remains the same in the popular sense, but not in the strict philosophical sense [Butler] |
| Full Idea: When a man swears to the same tree having stood for fifty years in the same place, he means ...not that the tree has been all that time the same in the strict philosophical sense of the word. ...In a loose and popular sense they are said to be the same. | |
| From: Joseph Butler (Analogy of Religion [1736], App.1) | |
| A reaction: A helpful distinction which we should hang on. Of course, by the standards of modern physics, nothing is strictly the same from one Planck time to the next. All is flux. So we either drop the word 'same' (for objects) or relax a bit. |
| 21317 | Despite consciousness fluctuating, we are aware that it belongs to one person [Butler] |
| Full Idea: Though the successive consciousnesses which we have of our own existence are not the same, yet they are consciousnesses of one and the same thing or object; of the same person, self, or living agent. | |
| From: Joseph Butler (Analogy of Religion [1736], App.1) | |
| A reaction: Butler's arguments seems to be that he appears to be the same person, so he is the same person. He is explicitly disagreeing with Locke. |
| 21313 | If consciousness of events makes our identity, then if we have forgotten them we didn't exist then [Butler] |
| Full Idea: Though consciousness of what is past does ascertain our personal identity to ourselves, yet to say that it makes personal identity, or is necessary to our being the same persons is to say a person has not existed a single moment but what he can remember. | |
| From: Joseph Butler (Analogy of Religion [1736], App.1) | |
| A reaction: An over-cautious scepticism has crept in about the reliability of bodily identity. Now we can have photographs and CCTV to prove that we experienced events we have forgotten. Butler is right. |
| 21314 | Consciousness presupposes personal identity, so it cannot constitute it [Butler] |
| Full Idea: One would think it really self-evident that consciousness of personal identity presupposes, and therefore cannot constitute, personal identity, any more than knowledge can presuppose truth, which it presupposes. | |
| From: Joseph Butler (Analogy of Religion [1736], App.1) | |
| A reaction: It rather begs the question to dogmatically assert that mere consciousness presupposes a self, especially after Hume's criticisms. That consciousness implies a subject to experience needs arguing for. Is it the best explanation? |
| 21318 | If the self changes, we have no responsibilities, and no interest in past or future [Butler] |
| Full Idea: If personality is a transient thing ...then it follows that it is a fallacy to charge ourselves with any thing we did, or to imagine our present selves interested in any thing which befell us yesterday, or what will befall us tomorrow. | |
| From: Joseph Butler (Analogy of Religion [1736], App.1) | |
| A reaction: We seem to care about the past and future of our children, without actually being our children. Can't my future self be my descendant, a close one, instead of me? |