6 ideas
| 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. |
| 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) |
| 18988 | Behind the bare phenomenal facts there is nothing [Wright,Ch] |
| Full Idea: Behind the bare phenomenal facts, as my tough-minded old friend Chauncey Wright, the great Harvard empiricist of my youth, used to say, there is nothing. | |
| From: Chauncey Wright (talk [1870]), quoted by William James - Pragmatism - eight lectures Lec 7 | |
| A reaction: This is the best slogan for strong phenomenalism ever coined! It also seems to fit David Lewis's approach to philosophy, as the pure study of the mosaic of experiences. |
| 15666 | To understand language is to know how to use it to reach shared understandings [Habermas] |
| Full Idea: One simply would not know what it is to understand the meaning of a linguistic expression if one did not know how one could make use of it in order to reach understanding with someone about something. | |
| From: Jürgen Habermas (On the Pragmatics of Communications [1998], p.228), quoted by James Gordon Finlayson - Habermas Ch.3:34 | |
| A reaction: Not offered as a 'theory of meaning', and certainly plausible. Compare a hammer, though: a proper understanding is that it is used to exert a sharp force, but you can take in its structure and nature before you spot its usage. |