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) |
| 6382 | The 'grain problem' says physical objects are granular, where sensations appear not to be [Sellars, by Polger] |
| Full Idea: Sellars' Grain Problem contended that it was a problem for materialism that physical objects have a granularity whereas sensations are homogeneous and without grain. | |
| From: report of Wilfrid Sellars (Empiricism and the Philosophy of Mind [1956], Ch. n22) by Thomas W. Polger - Natural Minds Ch.1 n22 | |
| A reaction: This doesn't strike me as a serious problem. I assume that my sensations are granular, but at a level too fine for me to introspect. There are three hundred trillion connections in the brain (Idea 2952), a lot of them involved in sensations. |
| 3785 | You can't separate acts from the people performing them [Glover] |
| Full Idea: A mistake of consequentialists is to treat actions as though they can somehow be isolated from the people performing them. | |
| From: Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Five) | |
| A reaction: I agree. The weather produces consequences. Morality is about people. Crocodiles, for example, are exempt. |
| 3786 | Aggression in defence may be beneficial but morally corrupting [Glover] |
| Full Idea: Forming the intention to use nuclear retaliation if attacked may both be the best way to avoid the catastrophe of nuclear war and at the same time be morally corrupting. | |
| From: Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Five) | |
| A reaction: A famous moment in 2017 when Jeremy Corbyn refused to say he would be willing to use the weapons, if elected. It would be hard to sustain a determination to do it, and then reject it at the crucial moment. |
| 3784 | Duty prohibits some acts, whatever their consequences [Glover] |
| Full Idea: The deontological view is that some acts are absolutely prohibited, regardless of consequences. | |
| From: Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Five) |
| 3782 | Satisfaction of desires is not at all the same as achieving happiness [Glover, by PG] |
| Full Idea: Objections to utilitarianism as maximisation of preferences: faded past desires or the desires of the dead; obtaining desires and happiness are different; fewer desires are easier to satisfy; pain is good if it can be removed. | |
| From: report of Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Two) by PG - Db (ideas) |
| 3787 | Rule-utilitarianism is either act-utilitarianism, or not really utilitarian [Glover] |
| Full Idea: Rule-utilitarianism seems either to collapse into act-utilitarianism, or else it is only partly utilitarian. | |
| From: Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Six) |
| 3783 | How can utilitarianism decide the ideal population size? [Glover] |
| Full Idea: There are deep problems for utilitarianism in trying to work out what the ideal population size would be. | |
| From: Jonathan Glover (Introductions to Utilitarianism and its Critics [1990], Pt Four) |