20 ideas
| 13010 | In order to select the logic justified by experience, we would need to use a lot of logic [Boghossian on Quine] |
| Full Idea: Quine ends up with the logic that is maximally justified by experience, ...but a large number of the core principles of logic will have to be used to select the logic that is maximally justified by experience. | |
| From: comment on Willard Quine (Carnap and Logical Truth [1954]) by Paul Boghossian - Knowledge of Logic p.233 | |
| A reaction: In order to grasp some core principles of logic, you will probably need a certain amount of experience. I take logic to be an abstracted feature of reality (unless it is extended by pure fictions). Some basic logic may be hard wired in us. |
| 9002 | Elementary logic requires truth-functions, quantifiers (and variables), identity, and also sets of variables [Quine] |
| Full Idea: Elementary logic, as commonly systematized nowadays, comprises truth-function theory (involving 'or', 'and', 'not' etc.), quantifiers (and their variables), and identity theory ('='). In addition, set theory requires classes among values of variables. | |
| From: Willard Quine (Carnap and Logical Truth [1954], II) | |
| A reaction: Quine is famous for trying to squeeze properties out of the picture, which would then block higher-order logics (which quantify over properties). Quine's list gives a nice programme for a student of the philosophy of logic to understand. |
| 13681 | Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider] |
| Full Idea: Quine's view of logical consequence is that it is when there is no way of uniformly substituting nonlogical expressions in the premises and consequences so that the premises all remain true but the consequence now becomes false. | |
| From: report of Willard Quine (Carnap and Logical Truth [1954], p.103) by Theodore Sider - Logic for Philosophy 1.5 | |
| A reaction: One might just say that the consequence holds if you insert consistent variables for the nonlogical terms, which looks like Aristotle's view of the matter. |
| 13829 | If logical truths essentially depend on logical constants, we had better define the latter [Hacking on Quine] |
| Full Idea: Quine said a logical truth is a truth in which only logical constants occur essentially, ...but then a fruitful definition of 'logical constant' is called for. | |
| From: comment on Willard Quine (Carnap and Logical Truth [1954]) by Ian Hacking - What is Logic? §02 |
| 9003 | Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine] |
| Full Idea: Unlike elementary logic, the truths of set theory are not obvious. Set theory was straining at the leash of intuition ever since Cantor discovered higher infinites; and with the added impetus of the paradoxes of set theory the leash snapped. | |
| From: Willard Quine (Carnap and Logical Truth [1954], II) | |
| A reaction: This problem seems to have forced Quine into platonism about sets, because he felt they were essential for mathematics and science, but couldn't be constructed with precision. So they must be real, but we don't quite understand them. |
| 9004 | If set theory is not actually a branch of logic, then Frege's derivation of arithmetic would not be from logic [Quine] |
| Full Idea: We might say that set theory is not really logic, but a branch of mathematics. This would deprive 'includes' of the status of a logical word. Frege's derivation of arithmetic would then cease to count as a derivation from logic: for he used set theory. | |
| From: Willard Quine (Carnap and Logical Truth [1954], II) | |
| A reaction: Quine has been making the point that higher infinities and the paradoxes undermine the status of set theory as logic, but he decides to continue thinking of set theory as logic. Critics of logicism frequently ask whether the reduction is to logic. |
| 9006 | Commitment to universals is as arbitrary or pragmatic as the adoption of a new system of bookkeeping [Quine] |
| Full Idea: One's hypothesis as to there being universals is at bottom just as arbitrary or pragmatic a matter as one's adoption of a new brand of set theory or even a new system of bookkeeping. | |
| From: Willard Quine (Carnap and Logical Truth [1954], x) | |
| A reaction: This spells out clearly the strongly pragmatist vein in Quine's thinking. |
| 9001 | Frege moved Kant's question about a priori synthetic to 'how is logical certainty possible?' [Quine] |
| Full Idea: When Kant's arithmetical examples of a priori synthetic judgements were sweepingly disqualified by Frege's reduction of arithmetic to logic, attention moved to the less tendentious and logically prior question 'How is logical certainty possible?' | |
| From: Willard Quine (Carnap and Logical Truth [1954], I) | |
| A reaction: A nice summary of the story so far, from someone who should know. This still leaves the question open of whether any synthetic truths can be derived from the logical certainties which are available. |
| 9005 | Examination of convention in the a priori begins to blur the distinction with empirical knowledge [Quine] |
| Full Idea: In trying to make sense of the role of convention in a priori knowledge, the very distinction between a priori and empirical begins to waver and dissolve. | |
| From: Willard Quine (Carnap and Logical Truth [1954], VI) | |
| A reaction: This is the next stage in the argument after Wittgenstein presents the apriori as nothing more than what arises from truth tables. The rationalists react by taking us back to the original 'natural light of reason' view. Then we go round again... |
| 23865 | Morality would improve if people could pursue private interests [Weil] |
| Full Idea: The common run of moralists complain that man is moved by his private interest: would to heaven it were so! | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.65) | |
| A reaction: Her point is that currently people have to sacrifice their own interests to communal activities which offer dubious benefits. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
| 23866 | In oppressive societies the scope of actual control is extended by a religion of power [Weil] |
| Full Idea: Every oppressive society is cemented by a religion of power, which falsifies all social relations by enabling the powerful to command over and above what they are able to impose. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.69) | |
| A reaction: A rather acute and accurate observation, I think. Flashy cars, grand uniforms, lots of medals, rituals of deference….. Sometimes I like the order and security this brings, but Simone Weil could quickly change my view. |
| 23871 | No central authority can initiate decentralisation [Weil] |
| Full Idea: It is quite patently impossible for decentralisation to be initiated by the central authority. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.113) | |
| A reaction: This is contradicted by the creation of regional parliaments and mayors, but we see nothing beyond that. A state could crumble into small parts if there were'lots of autonomous regional groups. Easier for weird minorities to take control. |
| 23867 | After a bloody revolution the group which already had the power comes to the fore [Weil] |
| Full Idea: There is no real break in continuity after a bloody struggle for regime change; for the victory just sanctions forces that before the struggle were the decisive factor in community life, patterns which were replacing those of the declining regime. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.73) | |
| A reaction: [from Marx] I assume she has in mind the French Revolution, and perhaps the Russian Revolution, though in the latter the new bourgeois leaders also got swept away. So revolutions are not nearly as dramatic as they appear to be. |
| 23870 | Decentralisation is only possible by co-operation between strong and weak - which is absurd [Weil] |
| Full Idea: The only possibility of salvation would lie in a co-operation between weak and strong, with a view to accomplishing a progressive decentralisation of social life; but the absurdity of such an idea strikes one immediately. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.113) | |
| A reaction: I take this to be a judgement on the anarchist ideal, rather than a bit of modest devolution. The UK government set up regional parliaments. She says centralisation is remorseless. |
| 23863 | Only individual people of good will can achieve social progress [Weil] |
| Full Idea: The enlightened goodwill of men acting in an individual capacity is the only possible principle of social progress. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.57) | |
| A reaction: I identify with this. Virtually every admirable institution in a society can be traced back to the initiative of a few individuals. Every helpful technology was someone's brainwave. |
| 23869 | In the least evil societies people can think, control community life, and be autonomous [Weil] |
| Full Idea: The least evil society is that in which the general run of men are most often obliged to think while acting, have the most opportunities for exercising control over collective life as a whole, and enjoy the greatest amount of independence. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.97) | |
| A reaction: So Simone Weil was a liberal. How do you stop the most dynamic thinkers, social controllers, and exercisers of their own independence from coming to dominate the others? Only liberal institutions, such as the law and education, can do this. |
| 23861 | Marx showed that capitalist oppression, because of competition, is unstoppable [Weil] |
| Full Idea: Marx gives a first-rate account of the mechanism of capitalist oppression; but so good is it that one finds it hard to visualise how this mechanism could cease to function. …The exploitation is the competitive need to expand as rapidly as possible. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.39) | |
| A reaction: [Last bit compressed] This pinpoints the main motivation for desiring to overthrow capitalism. Resistance to that view is presumably the fear that an even worse oppression might replace it. |
| 23868 | The pleasure of completing tasks motivates just as well as the whip of slavery [Weil] |
| Full Idea: The sight of the unfinished task attracts the free man as powerfully as the over-seer's whip stimulates the slave. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.94) | |
| A reaction: This is Weil's key social idea - that freely performed productive work can be, and should be, a joy, as long as it is accompanied by respect and friendship, rather than oppression. Did this idea ever occur to a slave owner? |
| 23864 | Inequality could easily be mitigated, if it were not for the struggle for power [Weil] |
| Full Idea: Inequality could easily be mitigated by the resistance of the weak and the feeling for justice of the strong, …were it not for the intervention of a further factor, namely, the struggle for power. | |
| From: Simone Weil (Reflections on Liberty and Social Oppression [1934], p.62) | |
| A reaction: The implication is that many of 'the strong' are inclined to diminish inequality, but find themselves trapped and unable to do so, because of irresistable capitalist forces. Sounds plausible. |