11 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) |
| 2986 | Belief is the most important propositional attitude [Lyons] |
| Full Idea: Belief might be accorded the status of core or chief propositional attitude. | |
| From: William Lyons (Approaches to Intentionality [1995], p.126) |
| 2978 | Consciousness no longer seems essential to intentionality [Lyons] |
| Full Idea: In contrast with Brentano and Husserl, consciousness or attention are no longer seen as essential to intentionality. | |
| From: William Lyons (Approaches to Intentionality [1995], Intro) | |
| A reaction: This strikes me as being correct, although there seem to be plenty of current philosophers who do not accept it (e.g. Searle). I think philosophy of mind may be stuck in the dark ages if thinkers don't accept this proposal. |
| 2984 | Perceptions could give us information without symbolic representation [Lyons] |
| Full Idea: It is possible to give an account of concept-formation without a language of thought or representation, based on perception, which in the brain seems to involve information without representation. | |
| From: William Lyons (Approaches to Intentionality [1995], p.66) | |
| A reaction: This claim strikes me as being a little too confident. One might say that a concept IS a representation. However, the perception of several horses might 'blur' together to form a generalised horse. |
| 2979 | Propositional attitudes require representation [Lyons] |
| Full Idea: How else, other than via some form of representational system, could a human organism contain information as a content over which it could operate or 'attitudinise'? | |
| From: William Lyons (Approaches to Intentionality [1995], Intro) | |
| A reaction: Depends what you mean by 'representational'. In its vaguest sense, this is just a tautology - content must be held in the mind in some form or other, but that tells us nothing. |
| 2987 | Folk psychology works badly for alien cultures [Lyons] |
| Full Idea: It is not easy to employ our folk psychology in the understanding of persons in a very different culture. | |
| From: William Lyons (Approaches to Intentionality [1995], p.241) | |
| A reaction: This strikes me as a highly significant problem for the friends of folk psychology. It also breaks down in extreme situations, or with mental illness. It seems closer to culture than to brain structure. |
| 2977 | All thinking has content [Lyons] |
| Full Idea: I cannot say I am simply thinking but not thinking about anything. | |
| From: William Lyons (Approaches to Intentionality [1995], Intro) | |
| A reaction: Hard to disagree. However, I can plausibly reply to 'What are you thinking?' with 'Nothing', if my consciousness is freewheeling. Utterly disconnected content isn't really what we call 'thinking'. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |