9 ideas
| 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) |
| 10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
| Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10) | |
| A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity. |
| 10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
| Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08) | |
| A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning. |
| 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. |
| 10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
| Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01) |
| 10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
| Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori. | |
| From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02) |
| 16764 | The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus] |
| Full Idea: Every accident of a living thing, as well as all its organs and temperaments and its dispositions are conserved by the soul. We see this from experience, since when that soul recedes, all these dissolve and become corrupted. | |
| From: Franciscus Toletus (Commentary on 'De Anima' [1572], II.1.1), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 24.5 | |
| A reaction: A nice example of observing a phenemonon, but not being able to observe the dependence relation the right way round. Compare Descartes in Idea 16763. |