23 ideas
| 21495 | Theoretical and practical politics are both concerned with the best lives for individuals [Russell] |
| Full Idea: Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: Russell floats between socialism and anarchism, but this foundational remark is classic liberalism. |
| 14086 | 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo] |
| Full Idea: The 'modal' version of eliminativist structuralism lifts the deductivist ban on modal notions. It studies what necessarily holds in all concrete models which are possible for various theories. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], I) | |
| A reaction: [He cites Putnam 1967, and Hellman 1989] If mathematical truths are held to be necessary (which seems to be right), then it seems reasonable to include modal notions, about what is possible, in its study. |
| 14087 | 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo] |
| Full Idea: 'Set-theoretic' structuralism rejects deductive nominalism in favour of a background theory of sets, and mathematics as the various structures realized among the sets. This is often what mathematicians have in mind when they talk about structuralism. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], I) | |
| A reaction: This is the big shift from 'mathematics can largely be described in set theory' to 'mathematics just is set theory'. If it just is set theory, then which version of set theory? Which axioms? The safe iterative conception, or something bolder? |
| 14085 | 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo] |
| Full Idea: The 'deductivist' version of eliminativist structuralism avoids ontological commitments to mathematical objects, and to modal vocabulary. Mathematics is formulations of various (mostly categorical) theories to describe kinds of concrete structures. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], 1) | |
| A reaction: 'Concrete' is ambiguous here, as mathematicians use it for the actual working maths, as opposed to the metamathematics. Presumably the structures are postulated rather than described. He cites Russell 1903 and Putnam. It is nominalist. |
| 14084 | Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo] |
| Full Idea: The 'non-eliminative' version of mathematical structuralism takes it to be a fundamental insight that mathematical objects are really just positions in abstract mathematical structures. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], I) | |
| A reaction: The point here is that it is non-eliminativist because it is committed to the existence of mathematical structures. I oppose this view, since once you are committed to the structures, you may as well admit a vast implausible menagerie of abstracta. |
| 14089 | Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo] |
| Full Idea: Structuralism can be distinguished from traditional Platonism in that it denies that mathematical objects from the same structure are ontologically independent of one another | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], III) | |
| A reaction: My instincts strongly cry out against all versions of this. If you are going to be a platonist (rather as if you are going to be religious) you might as well go for it big time and have independent objects, which will then dictate a structure. |
| 14083 | Structuralism is right about algebra, but wrong about sets [Linnebo] |
| Full Idea: Against extreme views that all mathematical objects depend on the structures to which they belong, or that none do, I defend a compromise view, that structuralists are right about algebraic objects (roughly), but anti-structuralists are right about sets. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], Intro) |
| 14090 | In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo] |
| Full Idea: If objects depend on the other objects, this would mean an 'upward' dependence, in that they depend on the structure to which they belong, where the physical realm has a 'downward' dependence, with structures depending on their constituents. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], III) | |
| A reaction: This nicely captures an intuition I have that there is something wrong with a commitment primarily to 'structures'. Our only conception of such things is as built up out of components. Not that I am committing to mathematical 'components'! |
| 14091 | There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo] |
| Full Idea: We can give an exhaustive account of the identity of the empty set and its singleton without mentioning infinite sets, and it might be possible to defend the view that one natural number depends on its predecessor but not vice versa. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], V) | |
| A reaction: Linnebo uses this as one argument against mathematical structuralism, where the small seems to depend on the large. The view of sets rests on the iterative conception, where each level is derived from a lower level. He dismisses structuralism of sets. |
| 14088 | An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo] |
| Full Idea: There are two main ways of spelling out an 'intrinsic' property: if and only if it is shared by every duplicate of an object, ...and if and only if the object would have this property even if the rest of the universe were removed or disregarded. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], II) | |
| A reaction: [He cites B.Weatherson's Stanford Encyclopaedia article] How about an intrinsic property being one which explains its identity, or behaviour, or persistence conditions? |
| 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? |
| 21517 | Individuals need creativity, reverence for others, and self-respect [Russell] |
| Full Idea: What we shall desire for individuals is now clear: strong creative impulses, overpowering and absorbing the instinct of possession; reverence for others; respect for the fundamental creative impulses in ourselves. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: Interesting that when Russell focuses on morality, he turns to virtues, rather than to rules. He uses 'reverence' where I would favour 'respect'. His concept of creativity is broad, and does not just concern art etc. |
| 21522 | Democracy is inadequate without a great deal of devolution [Russell] |
| Full Idea: Democracy is not at all an adequate device unless it is accompanied by a very great amount of devolution. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: This whole book of Russell's is an appeal for the devolution of power, and for workplace democracy. |
| 21523 | We would not want UK affairs to be settled by a world parliament [Russell] |
| Full Idea: We should none of us like the affairs of Great Britain to be settled by a parliament of the world. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: The UK is currently (Dec 2018) living with a plan to quit Europe, mainly on the grounds that a European parliament has some authority over Britain. In every country resentment of the government increases with distance from the capital city. |
| 21521 | Anarchy does not maximise liberty [Russell] |
| Full Idea: The greatest degree of liberty is not secured by anarchy. ...[22] The results of anarchy between states should suffice to persuade us that anarchism has no solution to offer for the evils of the world. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: I've heard Russell described as an anarchist, but this clearly wasn't true in 1917. Presumably liberty has to be protected. That we were watching anarchy between states in 1917 is a vivid observation. |
| 21528 | Groups should be autonomous, with a neutral authority as arbitrator [Russell] |
| Full Idea: For maximum freedom with minimum force: Autonomy within each politically important group, and a neutral authority for deciding questions involving relations between groups. | |
| From: Bertrand Russell (Political Ideals [1917], 3) | |
| A reaction: This is workplace democracy, and also considerable self-rule amongst minority groups such as religions. |
| 21526 | Unfortunately ordinary voters can't detect insincerity [Russell] |
| Full Idea: It is a painful fact that the ordinary voter, at any rate in England, is quite blind to insincerity. | |
| From: Bertrand Russell (Political Ideals [1917], 3) | |
| A reaction: Gor blimey yes! Well said, Bertie. Even in the age of television, when you can examine them in closeup, people seem to confuse superficial charm with genuine positive convictions. Why are people better at detecting it in private life? |
| 21527 | On every new question the majority is always wrong at first [Russell] |
| Full Idea: It is a mistake to suppose that the majority is necessarily right. On every new question the majority is always wrong at first. | |
| From: Bertrand Russell (Political Ideals [1917], 3) | |
| A reaction: Sounds like bitter experience. This is a good argument for taking time over decisions, and (topical) for a second referendum some time after the first one (if you must have a referendum). |
| 21525 | When the state is the only employer, there is no refuge from the prejudices of other people [Russell] |
| Full Idea: Under state socialism ...where the State is the only employer, there is no refuge from its prejudices such as may now accidentally arise through the differing opinions of men. | |
| From: Bertrand Russell (Political Ideals [1917], 2) | |
| A reaction: There is also a strong likelihood in full state socialism that the state will control housing as well as employment. This hadn't come to pass in 1917. |
| 21518 | Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell] |
| Full Idea: Men combine in groups to attain more strength in the scramble for material goods, and loyalty to the group spreads a halo of quasi-idealism round the central impulse of greed. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: See the 'greed is good' speech in the film 'Wall Street'. This sounds like a description of the USA, but Russell was very much in England at this stage. |
| 21519 | We need security and liberty, and then encouragement of creativity [Russell] |
| Full Idea: Security and liberty are only the negative conditions for good political institutions. When they have been won, we need also the positive condition: encouragement of creative energy. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: This sounds like some sort of liberal socialism. The nearest connection I can see is to the 'capabilities approach' of Martha Nussbaum. How do you intervene to encourage creativity? |
| 21524 | The right to own land gives a legal right to a permanent income [Russell] |
| Full Idea: There are many ways of becoming rich without contributing anything to the wealth of the community. Ownership of land or capital, whether acquired or inherited, gives a legal right to a permanent income. | |
| From: Bertrand Russell (Political Ideals [1917], 2) | |
| A reaction: I suspect that in the past land was the main source of this right, but now it is more likely to be capital. Land carries obligations of some sort, so income from capital is more fun. |
| 21520 | That our heaven is a dull place reflects the misery of excessive work in life [Russell] |
| Full Idea: It is a sad evidence of the weariness mankind has suffered from excessive toil that his heavens have usually been places where nothing ever happened or changed. | |
| From: Bertrand Russell (Political Ideals [1917], 1) | |
| A reaction: Has any religion got an idea of heaven as a place full of lively activity and creative problem-solving? That is what suits us best. |