10 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) |
| 23857 | People in power always try to increase their power [Weil] |
| Full Idea: Every human group that exercises power does so …in such a way as to increase that power. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.15) | |
| A reaction: Not so true in smaller institutions, but at the centre of power you can control how power is distributed, so the temptation is too much. |
| 23856 | Spontaneous movements are powerless against organised repression [Weil] |
| Full Idea: A spontaneous movement is fundamentally impotent when it comes to fighting against organised forces of repression. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.2) | |
| A reaction: Her example is the Paris Commune of 1870. Hence revolution requires prior penetration of the corridors of power. Hence the phenomenon of 'entryism' of more radical people into reformist parties. |
| 23859 | True democracy is the subordination of society to the individual [Weil] |
| Full Idea: In the subordination of society to the individual lies the definition of true democracy, and that of socialism as well. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.19) | |
| A reaction: This is the simplest definition of the liberal view. The big difference is whether this subordination is the starting point of political thinking, or the end result at which it aims. |
| 23858 | War is perpetuated by its continual preparations [Weil] |
| Full Idea: War perpetuates itself under the form of preparation for war. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.16) | |
| A reaction: There are periods when military preparations are scaled down, but a reason is always found to scale them back up again. |
| 23860 | Even if a drowning man is doomed, he should keep swimming to the last [Weil] |
| Full Idea: A man who is thrown overboard in the middle of the ocean ought not to let himself drown, even though there is very litte chance of his reaching safety, but to go on swimming till exhausted. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.21) | |
| A reaction: You might survive a little longer if you don't exhaust yourself! Not clear where her authority for 'ought' comes from, but it expresses an interesting attitude. |
| 16714 | The state should kill blasphemous heretics [Erasmus] |
| Full Idea: It is necessary for the preservation of the state to kill heretics that are blasphemous and seditious. | |
| From: Desiderius Erasmus (works [1506]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2 | |
| A reaction: He was much more tolerant of heretics who kept quiet. |