41 ideas
| 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. |
| 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? |
| 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? |
| 4363 | The word 'person' is useless in ethics, because what counts as a good or bad self-conscious being? [Hursthouse] |
| Full Idea: An excellent reason for keeping the word 'person' out of ethics is that it is usually so thinly defined that it cannot generate any sense of 'good person'. If a person is just a self-conscious being, what would count as a good or bad one? | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.9 n20) | |
| A reaction: A nice point. Locke's concept of a person (rational self-conscious being) lacks depth and individuality, and Hitler fulfils the criteria as well as any saint. But if Hitler wasn't a 'bad person', what was he bad at being? |
| 4355 | There may be inverse akrasia, where the agent's action is better than their judgement recommends [Hursthouse] |
| Full Idea: There seem to be cases of 'inverse akrasia', in which the course of action actually followed is superior to the course of action recommended by the agent's best judgement. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.7) | |
| A reaction: This must occur, as when an assassin lets his victim off, and then regrets the deed. It strengthens the case against Socrates, and in favour of their being two parts of the soul which compete to motivate our actions. |
| 4325 | Must all actions be caused in part by a desire, or can a belief on its own be sufficient? [Hursthouse] |
| Full Idea: In contemporary philosophy of action, there is a fervid debate about whether any intentional action must be prompted in part by desire, or whether it is possible to be moved to action by a belief alone. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Intro) | |
| A reaction: I want a cool belief to be sufficient to produce an action, because it will permit at least a Kantian dimension to ethics, and make judgement central, and marginalise emotivism, which is the spawn of Satan. |
| 4351 | It is a fantasy that only through the study of philosophy can one become virtuous [Hursthouse] |
| Full Idea: It is a fantasy that only through the study of philosophy can one become virtuous. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.6) | |
| A reaction: I personally believe that philosophy is the best route yet devised to the achievement of virtue, but it is clearly not essential. All the philosophers I meet are remarkably virtuous, but that may be a chicken/egg thing. |
| 4340 | You are not a dishonest person if a tragic dilemma forces you to do something dishonest [Hursthouse] |
| Full Idea: Doing what is, say, dishonest solely in the context of a tragic dilemma does not entail being dishonest, possessing that vice. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.3 n8) | |
| A reaction: This seems right, although it mustn't be thought that the dishonesty is thereby excused. Virtuous people find being dishonest very painful. |
| 4329 | After a moral dilemma is resolved there is still a 'remainder', requiring (say) regret [Hursthouse] |
| Full Idea: When one moral requirement has overriden another in a dilemma, there is still a 'remainder', so that regret, or the recognition of some new requirement, are still appropriate. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2) | |
| A reaction: This is a powerful point on behalf of virtue ethics. There is a correct way to feel about the application of rules and calculations. Judges sleep well at night, but virtuous people may not. |
| 4330 | Deontologists resolve moral dilemmas by saying the rule conflict is merely apparent [Hursthouse] |
| Full Idea: With respect to resolvable dilemmas, the deontologist's strategy is to argue that the 'conflict' between the two rules which has generated the dilemma is merely apparent. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2) | |
| A reaction: This assumes that the rules can't conflict (because they come for God, or pure reason), but we might say that there are correct rules which do conflict. Morality isn't physics, or tennis. |
| 4341 | Involuntary actions performed in tragic dilemmas are bad because they mar a good life [Hursthouse] |
| Full Idea: The actions a virtuous agent is forced to in tragic dilemmas fail to be good actions because the doing of them, no matter how unwillingly or involuntarily, mars or ruins a good life. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.3) | |
| A reaction: Of course, only virtuous people have their lives ruined by such things. For the cold or the wicked it is just water off a duck's back. |
| 4358 | Virtue may be neither sufficient nor necessary for eudaimonia [Hursthouse] |
| Full Idea: Some critics say virtue is not necessary for eudaimonia (since the wicked sometimes flourish), and others say it is not sufficient (because virtuous behaviour sometimes ruins a life). | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.8) | |
| A reaction: Both criticisms seem wrong (the wicked don't 'flourish', and complete virtue never ruins lives, except in tragic dilemmas). But it is hard to prove them wrong. |
| 4337 | Teenagers are often quite wise about ideals, but rather stupid about consequences [Hursthouse] |
| Full Idea: Adolescents tend to be much more gormless about consequences than they are about ideals. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2 n12) | |
| A reaction: Very accurate, I'm afraid. But this cuts both ways. They seem to need education not in virtue, but simply in consequences. |
| 4324 | Animals and plants can 'flourish', but only rational beings can have eudaimonia [Hursthouse] |
| Full Idea: The trouble with 'flourishing' as a translation of 'eudaimonia' is that animals and even plants can flourish, but eudaimonia is possible only for rational beings. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Intro) | |
| A reaction: 'Flourishing' still seems better than 'happy', which is centrally used now to refer to a state of mind, not a situation. 'Well being' seems good, and plants are usually permitted that. |
| 4359 | When it comes to bringing up children, most of us think that the virtues are the best bet [Hursthouse] |
| Full Idea: If you think about bringing up children to prepare them for life, rather than converting the wicked or convincing the moral sceptic, isn't virtue the most reliable bet? | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.8) | |
| A reaction: A very convincing idea. They haven't the imagination to grasp consequences properly, or sufficient abstract thought to grasp principles, or the political cunning to negotiate contracts, but they can grasp ideals of what a good person is like. |
| 4336 | Any strict ranking of virtues or rules gets abandoned when faced with particular cases [Hursthouse] |
| Full Idea: Any codification ranking the virtues, like any codification ranking the rules, is bound to come up against cases where we will want to change the rankings. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2) | |
| A reaction: This seems right, and yet it feels like a slippery slope. Am I supposed to be virtuous and wise, but have no principles? Infinite flexibility can lead straight to wickedness. Even the wise need something to hang on to. |
| 4334 | Virtue ethics is open to the objection that it fails to show priority among the virtues [Hursthouse] |
| Full Idea: One criticism of virtue ethics is that it lamentably fails to come up with a priority ranking of the virtues. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2) | |
| A reaction: However, one might refer to man's essential function, or characteristic function, and one might derive the virtues of a good citizen from the nature of a good society. |
| 4361 | Good animals can survive, breed, feel characteristic pleasure and pain, and contribute to the group [Hursthouse] |
| Full Idea: A good social animal is well fitted for 1) individual survival, 2) continuance of its species, 3) characteristic freedom from pain and enjoyment, and 4) good characteristic functioning of its social group. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.9) | |
| A reaction: This feels right, but brings out the characteristic conservativism of virtue theory. A squirrel which can recite Shakespeare turns out to be immoral. |
| 4349 | Virtuous people may not be fully clear about their reasons for action [Hursthouse] |
| Full Idea: Virtue must surely be compatible with a fair amount of inarticulacy about one's reasons for action. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.6) | |
| A reaction: Virtuous people may be unclear, but we are entitled to hope for clarification from moral philosophers. The least we can hope for is some distinction between virtue and vice. |
| 4352 | Performing an act simply because it is virtuous is sufficient to be 'morally motivated' or 'dutiful' [Hursthouse] |
| Full Idea: Acting virtuously, in the way the virtuous agent acts, namely from virtue, is sufficient for being 'morally motivated' or acting 'from a sense of duty'. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.7) | |
| A reaction: Fine, but it invites the question of WHY virtue is motivating, just as one can ask this of maximum happiness, or duty, or even satisfaction of selfish desires. |
| 4353 | If moral motivation is an all-or-nothing sense of duty, how can children act morally? [Hursthouse] |
| Full Idea: If you are inclined to think that 'moral motivation', acting because you think it is right, must be an all-or-nothing matter, its presence determined by the agent's mind at the moment of acting, do, please, remember children. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.7) | |
| A reaction: I agree about the vital importance of remembering children when discussing morality. However, Kantians might legitimately claim that when a child is simply trained to behave well, it has not yet reached the age of true morality. |
| 4346 | The emotions of sympathy, compassion and love are no guarantee of right action or acting well [Hursthouse] |
| Full Idea: The emotions of sympathy, compassion and love are no guarantee of right action or acting well. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.4) | |
| A reaction: This is a critique of Hume, and of utlitarianism. It pushes us either to the concept of duty, or the concept of virtue (independent of right feeling). |
| 4339 | According to virtue ethics, two agents may respond differently, and yet both be right [Hursthouse] |
| Full Idea: According to virtue ethics, in a given situation two different agents may do what is right, what gets a tick of approval, despite the fact that each fails to do what the other did. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.3) | |
| A reaction: You could certainly have great respect for two entirely different decisions about a medical dilemma, if they both showed integrity and good will, even if one had worse consequences than the other. |
| 4354 | Maybe in a deeply poisoned character none of their milder character traits could ever be a virtue [Hursthouse] |
| Full Idea: I am prepare to stick my neck out and say that extreme Nazis or racists (say) have poisoned characters to such an extent that none of their character traits could ever count as a virtue. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.7) | |
| A reaction: Hard to justify, but it is hard to respect a mass murderer because they seem to love their dog or the beauty of music or flowers. They can't possibly appreciate the Platonic Form of love or beauty? |
| 4364 | Being unusually virtuous in some areas may entail being less virtuous in others [Hursthouse] |
| Full Idea: It may well be that being particularly well endowed with respect to some virtues inevitably involves being not very well endowed in others. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.9) | |
| A reaction: Maybe, but this sound a bit like an excuse. Newton wasn't very nice, but Einstein was. I can't believe in a finite reservoir of virtue. |
| 4356 | We are puzzled by a person who can show an exceptional virtue and also behave very badly [Hursthouse] |
| Full Idea: That we have some intuitive belief in the unity of the virtues is shown by our reaction to stories of a person who has shown an exceptional virtue, but also done something morally repellent. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.7) | |
| A reaction: A nice observation, but not enough to establish the unity of virtue. People tend to love all virtue, but it is not obviously impossible to love selected virtues and despise others (e.g. love courage, and despise charity). |
| 4327 | Deontologists do consider consequences, because they reveal when a rule might apply [Hursthouse] |
| Full Idea: Though it is sometimes said that deontologists 'take no account of consequences', this is manifestly false, for many actions we deliberate about only fall under rules or principles when we bring in their predicted consequences. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.1) | |
| A reaction: An important defence of deontology, which otherwise is vulnerable to the 'well-meaning fool' problem. It is no good having a good will, but refusing to think about consequences. |
| 4335 | 'Codifiable' morality give rules for decisions which don't require wisdom [Hursthouse] |
| Full Idea: If morality is strongly 'codifiable', it should consist of rules which provide a decision procedure, and it should be equally applicable by the virtuous and the non-virtuous, without recourse to wisdom. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.2) | |
| A reaction: A key idea. Religions want obedience, and Kant wants morality to be impersonal, and most people want morality which simple uneducated people can follow. And yet how can wisdom ever be irrelevant? |
| 4328 | Preference utilitarianism aims to be completely value-free, or empirical [Hursthouse] |
| Full Idea: There are some forms of utilitarianism which aim to be entirely 'value-free' or empirical, such as those which define happiness in terms of the satisfaction of actual desires or preferences, regardless of their content. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.1) | |
| A reaction: This point makes it clear that preference utilitarianism is a doomed enterprise. For a start I can prefer not to be a utilitarian. You can only maximise something if you value if. Are preferences valuable? |
| 4343 | We are torn between utilitarian and deontological views of lying, depending on the examples [Hursthouse] |
| Full Idea: Utilitarianism says there is nothing intrinsically wrong with lying, but examples of bare-faced lying to increase happiness drive us to deontology; but then examples where telling the truth has appalling consequences drive us back to utilitarianism again. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.3) | |
| A reaction: A nice illustration of why virtue theory suddenly seemed appealing. Deontology can cope, though, by seeing other duties when the consequences are dreadful. |
| 4338 | Deontologists usually accuse utilitarians of oversimplifying hard cases [Hursthouse] |
| Full Idea: Deontologists characteristically maintain that utilitarians have made out a particular hard case to be too simple. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.3) | |
| A reaction: Utilitarianism certainly seems to ignore the anguish of hard dilemmas, but that is supposed to be its appeal. If you think for too long, every dilemma begins to seem hopeless. |
| 4365 | We are distinct from other animals in behaving rationally - pursuing something as good, for reasons [Hursthouse] |
| Full Idea: Our characteristic way of going on, which distinguishes us from all the other species of animals, is a rational way, which is any way we can rightly see as good, as something we have reason to do. | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch10) | |
| A reaction: Some people more than others, and none of us all the time. Romantics see rationality as a restraint on the authentic emotional and animal life. 'Be a good animal'. However, I agree. |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |
| 4350 | If people are virtuous in obedience to God, would they become wicked if they lost their faith? [Hursthouse] |
| Full Idea: If people perform virtuous actions simply because they are commanded by God, would they cease to perform such actions if they lost their faith in God? | |
| From: Rosalind Hursthouse (On Virtue Ethics [1999], Ch.6) | |
| A reaction: To be consistent, the answer might be 'yes', but that invites the response that only intrinsically evil people need to be Christians. The rest of us can be good without it. |