64 ideas
| 10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
| Full Idea: The logic of ZF Set Theory is classical first-order predicate logic with identity. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.121) | |
| A reaction: This logic seems to be unable to deal with very large cardinals, precisely those that are implied by set theory, so there is some sort of major problem hovering here. Boolos is fairly neutral. |
| 10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
| Full Idea: Maybe the axioms of extensionality and the pair set axiom 'force themselves on us' (Gödel's phrase), but I am not convinced about the axioms of infinity, union, power or replacement. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.130) | |
| A reaction: Boolos is perfectly happy with basic set theory, but rather dubious when very large cardinals come into the picture. |
| 18192 | Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy] |
| Full Idea: For Boolos, the Replacement Axioms go beyond the iterative conception. | |
| From: report of George Boolos (The iterative conception of Set [1971]) by Penelope Maddy - Naturalism in Mathematics I.3 |
| 7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
| Full Idea: We should abandon the idea that the use of plural forms commits us to the existence of sets/classes… Entities are not to be multiplied beyond necessity. There are not two sorts of things in the world, individuals and collections. | |
| From: George Boolos (To be is to be the value of a variable.. [1984]), quoted by Henry Laycock - Object | |
| A reaction: The problem of quantifying over sets is notoriously difficult. Try http://plato.stanford.edu/entries/object/index.html. |
| 10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
| Full Idea: The naïve view of set theory (that any zero or more things form a set) is natural, but inconsistent: the things that do not belong to themselves are some things that do not form a set. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.127) | |
| A reaction: As clear a summary of Russell's Paradox as you could ever hope for. |
| 10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
| Full Idea: According to the iterative conception, every set is formed at some stage. There is a relation among stages, 'earlier than', which is transitive. A set is formed at a stage if and only if its members are all formed before that stage. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.126) | |
| A reaction: He gives examples of the early stages, and says the conception is supposed to 'justify' Zermelo set theory. It is also supposed to make the axioms 'natural', rather than just being selected for convenience. And it is consistent. |
| 13547 | Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter] |
| Full Idea: Weak Limitation of Size: If there are no more Fs than Gs and the Gs form a collection, then Fs form a collection. Strong Limitation of Size: A property F fails to be collectivising iff there are as many Fs as there are objects. | |
| From: report of George Boolos (Iteration Again [1989]) by Michael Potter - Set Theory and Its Philosophy 13.5 |
| 10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
| Full Idea: Is there, in addition to the 200 Cheerios in a bowl, also a set of them all? And what about the vast number of subsets of Cheerios? It is haywire to think that when you have some Cheerios you are eating a set. What you are doing is: eating the Cheerios. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.72) | |
| A reaction: In my case Boolos is preaching to the converted. I am particularly bewildered by someone (i.e. Quine) who believes that innumerable sets exist while 'having a taste for desert landscapes' in their ontology. |
| 10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
| Full Idea: The metatheory of second-order logic is hopelessly set-theoretic, and the notion of second-order validity possesses many if not all of the epistemic debilities of the notion of set-theoretic truth. | |
| From: George Boolos (On Second-Order Logic [1975], p.45) | |
| A reaction: Epistemic problems arise when a logic is incomplete, because some of the so-called truths cannot be proved, and hence may be unreachable. This idea indicates Boolos's motivation for developing a theory of plural quantification. |
| 14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
| Full Idea: Boolos's conception of plural logic is as a reinterpretation of second-order logic. | |
| From: report of George Boolos (On Second-Order Logic [1975]) by Oliver,A/Smiley,T - What are Sets and What are they For? n5 | |
| A reaction: Oliver and Smiley don't accept this view, and champion plural reference differently (as, I think, some kind of metalinguistic device?). |
| 10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
| Full Idea: Boolos has proposed an alternative understanding of monadic, second-order logic, in terms of plural quantifiers, which many philosophers have found attractive. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Philosophy of Mathematics 3.5 |
| 10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
| Full Idea: In an indisputable technical result, Boolos showed how plural quantifiers can be used to interpret monadic second-order logic. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984], Intro) by Øystein Linnebo - Plural Quantification Exposed Intro |
| 10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
| Full Idea: Boolos discovered that any sentence of monadic second-order logic can be translated into plural first-order logic. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984], §1) by Øystein Linnebo - Plural Quantification Exposed p.74 |
| 10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
| Full Idea: One may be of the opinion that no sentence ought to be considered as a truth of logic if, no matter how it is interpreted, it asserts that there are sets of certain sorts. | |
| From: George Boolos (On Second-Order Logic [1975], p.44) | |
| A reaction: My intuition is that in no way should any proper logic assert the existence of anything at all. Presumably interpretations can assert the existence of numbers or sets, but we should be able to identify something which is 'pure' logic. Natural deduction? |
| 10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
| Full Idea: Indispensable to cross-reference, lacking distinctive content, and pervading thought and discourse, 'identity' is without question a logical concept. Adding it to predicate calculus significantly increases the number and variety of inferences possible. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.54) | |
| A reaction: It is not at all clear to me that identity is a logical concept. Is 'existence' a logical concept? It seems to fit all of Boolos's criteria? I say that all he really means is that it is basic to thought, but I'm not sure it drives the reasoning process. |
| 10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
| Full Idea: One may say that '∀x x=x' means 'everything is identical to itself', but one must realise that one's answer has a determinate sense only if the reference (range) of 'everything' is fixed. | |
| From: George Boolos (On Second-Order Logic [1975], p.46) | |
| A reaction: This is the problem now discussed in the recent book 'Absolute Generality', of whether one can quantify without specifying a fixed or limited domain. |
| 13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
| Full Idea: Boolos proposes that second-order quantifiers be regarded as 'plural quantifiers' are in ordinary language, and has developed a semantics along those lines. In this way they introduce no new ontology. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Foundations without Foundationalism 7 n32 | |
| A reaction: This presumably has to treat simple predicates and relations as simply groups of objects, rather than having platonic existence, or something. |
| 10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
| Full Idea: Standard second-order existential quantifiers pick out a class or a property, but Boolos suggests that they be understood as a plural quantifier, like 'there are objects' or 'there are people'. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Philosophy of Mathematics 7.4 | |
| A reaction: This idea has potential application to mathematics, and Lewis (1991, 1993) 'invokes it to develop an eliminative structuralism' (Shapiro). |
| 10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
| Full Idea: Abandon the idea that use of plural forms must always be understood to commit one to the existence of sets of those things to which the corresponding singular forms apply. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.66) | |
| A reaction: It seems to be an open question whether plural quantification is first- or second-order, but it looks as if it is a rewriting of the first-order. |
| 7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
| Full Idea: Boolos virtually patented the new device of plural quantification. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by José A. Benardete - Logic and Ontology | |
| A reaction: This would be 'there are some things such that...' |
| 10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
| Full Idea: A weak completeness theorem shows that a sentence is provable whenever it is valid; a strong theorem, that a sentence is provable from a set of sentences whenever it is a logical consequence of the set. | |
| From: George Boolos (On Second-Order Logic [1975], p.52) | |
| A reaction: So the weak version says |- φ → |= φ, and the strong versions says Γ |- φ → Γ |= φ. Presumably it is stronger if it can specify the source of the inference. |
| 13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
| Full Idea: Boolos asks why on earth compactness, whatever its virtues, should be definitive of logic itself. | |
| From: report of George Boolos (On Second-Order Logic [1975]) by Ian Hacking - What is Logic? §13 |
| 10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
| Full Idea: The existence of infinitely many natural numbers seems to me no more troubling than that of infinitely many computer programs or sentences of English. There is, for example, no longest sentence, since any number of 'very's can be inserted. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.129) | |
| A reaction: If you really resisted an infinity of natural numbers, presumably you would also resist an actual infinity of 'very's. The fact that it is unclear what could ever stop a process doesn't guarantee that the process is actually endless. |
| 10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
| Full Idea: To the best of my knowledge nothing in mathematics or science requires the existence of very high orders of infinity. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.122) | |
| A reaction: He is referring to particular high orders of infinity implied by set theory. Personally I want to wield Ockham's Razor. Is being implied by set theory a sufficient reason to accept such outrageous entities into our ontology? |
| 10833 | Many concepts can only be expressed by second-order logic [Boolos] |
| Full Idea: The notions of infinity and countability can be characterized by second-order sentences, though not by first-order sentences (as compactness and Skolem-Löwenheim theorems show), .. as well as well-ordering, progression, ancestral and identity. | |
| From: George Boolos (On Second-Order Logic [1975], p.48) |
| 10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
| Full Idea: It is no surprise that we should be able to reason mathematically about many of the things we experience, for they are already 'abstract'. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.129) | |
| A reaction: He has just given a list of exemplary abstract objects (Idea 10489), but I think there is a more interesting idea here - that our experience of actual physical objects is to some extent abstract, as soon as it is conceptualised. |
| 10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
| Full Idea: Ontological commitment is carried by first-order quantifiers; a second-order quantifier needn't be taken to be a first-order quantifier in disguise, having special items, collections, as its range. They are two ways of referring to the same things. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.72) | |
| A reaction: If second-order quantifiers are just a way of referring, then we can see first-order quantifiers that way too, so we could deny 'objects'. |
| 10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
| Full Idea: It's a kind of lunacy to think that sound scientific philosophy demands that we think that we see ink-tracks but not words, i.e. word-types. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.128) | |
| A reaction: This seems to link him with Armstrong's mockery of 'ostrich nominalism'. There seems to be some ambiguity with the word 'see' in this disagreement. When we look at very ancient scratches on stones, why don't we always 'see' if it is words? |
| 10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
| Full Idea: I am rather a fan of abstract objects, and confident of their existence. Smaller numbers, sets and functions don't offend my sense of reality. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.128) | |
| A reaction: The great Boolos is rather hard to disagree with, but I disagree. Logicians love abstract objects, indeed they would almost be out of a job without them. It seems to me they smuggle them into our ontology by redefining either 'object' or 'exists'. |
| 10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
| Full Idea: We twentieth century city dwellers deal with abstract objects all the time, such as bank balances, radio programs, software, newspaper articles, poems, mistakes, triangles. | |
| From: George Boolos (Must We Believe in Set Theory? [1997], p.129) | |
| A reaction: I find this claim to be totally question-begging, and typical of a logician. The word 'object' gets horribly stretched in these discussions. We can create concepts which have all the logical properties of objects. Maybe they just 'subsist'? |
| 3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
| Full Idea: Anaxarchus said that he was not even sure that he knew nothing. | |
| From: report of Anaxarchus (fragments/reports [c.340 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 09.10.1 |
| 8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
| Full Idea: Hume's Principle has a structure Boolos calls an 'abstraction principle'. Within the scope of two universal quantifiers, a biconditional connects an identity between two things and an equivalence relation. It says we don't care about other differences. | |
| From: George Boolos (Is Hume's Principle analytic? [1997]), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 3.7 | |
| A reaction: This seems to be the traditional principle of abstraction by ignoring some properties, but dressed up in the clothes of formal logic. Frege tries to eliminate psychology, but Boolos implies that what we 'care about' is relevant. |
| 20489 | Human beings can never really flourish in a long-term state of nature [Wolff,J] |
| Full Idea: We must agree with Hobbes, Locke and Rousseau that nothing genuinely worthy of being called a state of nature will, at least in the long term, be a condition in which human beings can flourish. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 1 'Conc') | |
| A reaction: Given our highly encultured concept of modern flourishing, that is obviously right. There may be another reality where hom sap flourishes in a quite different and much simpler way. Education as personal, not institutional? |
| 20532 | Should love be the first virtue of a society, as it is of the family? [Wolff,J] |
| Full Idea: Love, or at least affection, not justice, is the first virtue of the family. Should mutual affection also be the first virtue of social and political institutions? | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 6 'Transcending') | |
| A reaction: Surely this ideal should be at the heart of any society, no matter how far away from the ideal it is pushed by events and failures of character? I take 'respect' to be the form of love we feel for strangers. |
| 20483 | Collective rationality is individuals doing their best, assuming others all do the same [Wolff,J] |
| Full Idea: We need to distinguish between individual and collective rationality. Collective rationality is what is best for each individual, on the assumption that everyone else will act the same way. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 1 'Hobbes') | |
| A reaction: Wolff is surmising what lies behind Hobbes's Laws of Nature (which concern collective rationality). The Prisoner's Dilemma is the dramatisation of this distinction. I would making the teaching of the distinction compulsory in schools. |
| 20490 | For utilitarians, consent to the state is irrelevant, if it produces more happiness [Wolff,J] |
| Full Idea: On the utilitarian account the state is justified if and only if it produces more happiness than any alternative. Whether we consent to the state is irrelevant. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 2 'Intro') | |
| A reaction: The paternalistic character of utilitarianism is a familiar problem. I quite like this approach, even though liberals will find it a bit naughty. We make children go to school, for their own good. Experts endorse society, even when citizens don't. |
| 20493 | Social contract theory has the attracton of including everyone, and being voluntary [Wolff,J] |
| Full Idea: Social contract theory ...satisfies the twin demands of universalism - every person must be obligated - and voluntarism - political obligations can come into existence only through consent. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 2 'Voluntaristic') | |
| A reaction: I'm going off the idea that being a member of large society is voluntary. It can't possibly be so for most people, and it shouldn't be. I'm British, and society expects me to remain so (though they might release me, if convenient). |
| 20494 | Maybe voting in elections is a grant of legitimacy to the winners [Wolff,J] |
| Full Idea: One thought is that consent to government is communicated via the ballot-box. In voting for the government we give it our consent. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 2 'Voluntaristic') | |
| A reaction: Hm. This may be a strong positive reason why some people refuse to vote. We shouldn't load voting with such heavy commitments. It's just 'given the current situation, who will be temporarily in charge'. |
| 20500 | We can see the 'general will' as what is in the general interest [Wolff,J] |
| Full Idea: The general will demands the policy which is equally in everyone's interests. Thus we can think of the general will as the general interest. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Rousseau') | |
| A reaction: That seems to assume that the people know what is in their interests. Rousseau's General Will mainly concerns who governs, and their mode of government, but not details of actual policy. |
| 20497 | How can dictators advance the interests of the people, if they don't consult them about interests? [Wolff,J] |
| Full Idea: Even if a dictator wants to advance the interests of the people, how are those interests to be known? In a democracy people show their interests, it seems, by voting: they vote for what they want. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Knowledge') | |
| A reaction: I suppose a wise and kind despot could observe very carefully, and understand the interests of the people better than they do themselves. Indeed, I very much doubt, in 2017, whether the people know what is good for them. |
| 20506 | 'Separation of powers' allows legislative, executive and judicial functions to monitor one another [Wolff,J] |
| Full Idea: The Federalists took the idea of 'separation of powers' from Locke and Montesquieu. This places the legislative, executive and judicial functions in independent hands, so that in theory any branch of government would be checked by the other two. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Representative') | |
| A reaction: [The American Federalist writers of 1787-8 were Madison, Hamilton and Jay] This is a brilliant idea. An interesting further element that has been added to it is the monitoring by a free press, presumably because the other three were negligent. |
| 20530 | Political choice can be by utility, or maximin, or maximax [Wolff,J] |
| Full Idea: Political choices can be made by the utility principles (maximising total utility), or maximin (maximising for the worst off, a view for pessimists), or maximax (not serious, but one for optimists, being unequal, and aiming for a high maximum). | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Choosing') | |
| A reaction: [my summary of a page of Wolff] Rawls embodies the maximin view. Wolff implies that we must choose between utilitarianism and Rawls. Would Marxists endorse maximin? He also adds 'constrained maximisation', with a safety net. |
| 20487 | A realistic and less utopian anarchism looks increasingly like liberal democracy [Wolff,J] |
| Full Idea: As the anarchist picture of society becomes increasingly realistic and less utopian, it also becomes increasingly difficult to tell it apart from a liberal democratic state. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 1 'Anarchism') | |
| A reaction: Nice challenge to anarchism, which is clear in what it opposes, but isn't much of a political philosophy if it doesn't have positive aspirations. Anarchists may hope that people will beautifully co-operate, but what if they re-form the state to do it? |
| 20488 | It is hard for anarchists to deny that we need experts [Wolff,J] |
| Full Idea: Many anarchists have accepted the need for the authority of experts within society | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 1 'Anarchism') | |
| A reaction: The status of experts may be the hottest topic in contemporary politics, given the contempt for experts shown by Trump, and by the Brexit campaign of 2016. It is a nice point that even anarchists can't duck the problem. |
| 20529 | Utilitarianism probably implies a free market plus welfare [Wolff,J] |
| Full Idea: A utilitarian political philosophy would probably be a free market with a welfare state. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Choosing') | |
| A reaction: This is roughly how Britain became, after the welfare state was added to Millian liberalism. What's missing from this formula is some degree of control of the free market, to permit welfare. |
| 20510 | A system of democracy which includes both freedom and equality is almost impossible [Wolff,J] |
| Full Idea: We are very unlikely to be able to find an instrumental defence of democracy which also builds the values of freedom and equality into a feasible system. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Conc') | |
| A reaction: I increasingly think that freedom is the most overrated political virtue (though it is certainly a virtue). Total freedom is ridiculous, but the aim of sacrificing many other social goods in order to maximise freedom also looks wrong. |
| 20511 | Democracy expresses equal respect (which explains why criminals forfeit the vote) [Wolff,J] |
| Full Idea: Democracy is a way of expressing equal respect for all, which is perhaps why we withdraw the vote from criminals: by their behaviour they forfeit the right to equal respect. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Conc') | |
| A reaction: I disagree, and he has converted me to franchise for criminals. One-off criminals do not forfeit my respect for them as people, though their action may merit a controlling response on our part. Bad character, not a bad action, forfeits respect. |
| 20502 | Democracy has been seen as consistent with many types of inequality [Wolff,J] |
| Full Idea: Greeks assumed democracy was consistent with slavery, Rousseau that it was consistent with sexual inequality, and Wollstonecraft that it was consistent with disenfranchisement of the poor. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Freedom') | |
| A reaction: If you are allowed to restrict the franchise in some way, then a narrow oligarchy can qualify as a democracy, with half a dozen voters. |
| 20496 | A true democracy could not tolerate slavery, exploitation or colonialism [Wolff,J] |
| Full Idea: A democratic state has power only over the people who make up the electorate. Ruling over a subservient class, or territory, is claimed to be antithetical to the true ideals of democracy. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Intro') | |
| A reaction: Is making trade deals very favourable to yourself (i.e. good capitalism) antithetical to democracy? |
| 20498 | We should decide whether voting is for self-interests, or for the common good [Wolff,J] |
| Full Idea: To avoid mixed-motivation voting, we must choose between one model of people voting in accordance with their preferences, and another of voting for their estimate of the common good. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Voting') | |
| A reaction: Personally I always voted for the common good, and only slowly realised that most people were voting for their own interests. A rational society would at least bring this dichotomy into the open. Voting for self-interest isn't wicked. |
| 20499 | Condorcet proved that sensible voting leads to an emphatically right answer [Wolff,J] |
| Full Idea: Condorcet proved that provided people have a better than even chance of getting the right answer, and that they vote for their idea of the common good, then majority decisions are an excellent way to get the right result. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Voting') | |
| A reaction: [compressed] The point is that collective voting magnifies the result. If they tend to be right, the collective view is super-right. But if they tend towards the wrong, the collective view goes very wrong indeed. History is full of the latter. |
| 20509 | Occasional defeat is acceptable, but a minority that is continually defeated is a problem [Wolff,J] |
| Full Idea: Most of us can accept losing from time to time, but sometimes an entrenched majority will win vote after vote, leaving the minority group permanently outvoted and ignored. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Protecting') | |
| A reaction: This is the key problem of the treatment of minorities in a democracy. Personally I have only once been on the winning side in voting for my MP, and he changed party a couple of years later. |
| 20524 | Market prices indicate shortages and gluts, and where the profits are to be made [Wolff,J] |
| Full Idea: The price system is a way of signalling and transmitting information. The fact that the price of a good rises shows that the good is in short supply. And if prices rise in a sector because of increasing demand, then new producers rush in for the profits. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Free') | |
| A reaction: [Woff is discussing Hayek] Why do we have a shortage of decent housing in the UK? Centralised economies lack this direct way of discovering where their efforts should be directed. |
| 20518 | Liberty principles can't justify laws against duelling, incest between siblings and euthanasia [Wolff,J] |
| Full Idea: Many laws of contemporary society are very hard to defend in terms of Mill's Liberty Principle, such as laws against duelling, incest between siblings, and euthanasia. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 4 'Poison') | |
| A reaction: [He cites Chief Justice Lord Devlin for this] Being killed in a duel can cause widespread misery. Fear of inbreeding is behind the second one, and fear of murdering the old behind the third one. No man is an island. |
| 20531 | Either Difference allows unequal liberty, or Liberty makes implementing Difference impossible [Wolff,J] |
| Full Idea: Critics say that the Difference Principle allows inequality of liberty ...and (more often) that liberty means we cannot impose any restriction on individual property holdings. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Nozick') | |
| A reaction: The second objection is associated with Robert Nozick. The point is that you can implement the Difference Principle without restricting liberty. The standard right-wing objection of social welfare. |
| 20526 | Utilitarians argue for equal distribution because of diminishing utility of repetition [Wolff,J] |
| Full Idea: The utilitarian argument for equality assumes that people have 'diminishing marginal returns' for goods. If there are two people and two nice chocolate biscuits, then utilitarianism is likely to recommend one each. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Arguments') | |
| A reaction: The point is that the second biscuit provides slightly diminished pleasure. This is why you can buy boxes of assorted biscuits, which you are then not required to share. |
| 20528 | Difference Principle: all inequalities should be in favour of the disadvantaged [Wolff,J] |
| Full Idea: Difference Principle: Social and economic inequalities are to be arranged so that they are to the greatest benefit of the least advantaged. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Choosing') | |
| A reaction: Rivals would say that inequalities should go to those who have earned them. |
| 20503 | Political equality is not much use without social equality [Wolff,J] |
| Full Idea: As Marx observed, and as women have learnt to their cost, equal political rights are worth fighting for, but they are of little value if one is still treated unequally in day-to-day life. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 3 'Participatory') | |
| A reaction: In fact social equality comes first, because that will imply political equality and financial justice. I think it is all covered under the virtue of 'respect', which should have pre-eminence in both public and private life. |
| 20512 | Standard rights: life, free speech, assembly, movement, vote, stand (plus shelter, food, health?) [Wolff,J] |
| Full Idea: The normal liberal basic rights are right to life, free speech, free assembly and freedom of movement, plus the rights to vote and stand for office. Some theorists add the right to a decent living standard (shelter, food and health care). | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 4 'Liberty') | |
| A reaction: I think he has forgotten to add education. In Britain Beatrice Webb seems to have single-handedly added the living standard group to the list. |
| 20513 | If natural rights are axiomatic, there is then no way we can defend them [Wolff,J] |
| Full Idea: The theory of basic natural rights is problematic, because although the theory is rigorous and principled, the disadvantage is that we are left with nothing more fundamental to say in defence of these rights. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 4 'Liberty') | |
| A reaction: This is a nice point about anything which is treated as axiomatic - even Euclid's geometry. Presumably rights can only be justified by the needs of our shared human nature. |
| 20514 | If rights are natural, rather than inferred, how do we know which rights we have? [Wolff,J] |
| Full Idea: If natural rights have a fundamental status, and so are not arrived at on the basis of some other argument, how do we know what rights we have? | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 4 'Liberty') | |
| A reaction: He cites Bentham as using this point. Utilitarianism at least provides a grounding for the identification of possible basic rights. Start from what we want, or what we more objectively need? Human needs, or needs in our present culture? |
| 20522 | Utilitarians might say property ownership encourages the best use of the land [Wolff,J] |
| Full Idea: A utilitarian justification of property rights says allowing people to appropriate property, trade in it, and leave it to their descendants will encourage them to make the most productive use of their resources. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 5 'Locke') | |
| A reaction: This obviously has a point, but equally justifies confiscation of land from people who are not making best use of it. In Sicily many landowners refused to allow the peasants to make any use at all of the land. |
| 20534 | Rights and justice are only the last resorts of a society, something to fall back on [Wolff,J] |
| Full Idea: Justice is the last virtue of society, or at least the last resort. Rights, or considerations of justice, are like an insurance policy: something offering security to fall back on. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 6 'Transcending') | |
| A reaction: I like this. He points out that a good family doesn't talk of rights and justice. We want a friendly harmonious society, with safety nets. |
| 20492 | Following some laws is not a moral matter; trivial traffic rules, for example [Wolff,J] |
| Full Idea: Some laws have little grounding in morality. You may believe you have a moral obligation to stop at a red light at a deserted crossroads, but only because that is what the law tells you to do. | |
| From: Jonathan Wolff (An Introduction to Political Philosophy (Rev) [2006], 2 'Goal') | |
| A reaction: I would have thought such a law was wholly grounded in the morality of teamwork. It is the problem of rule utilitarianism, and also a problem about virtuous character. The puzzle is not the law, but the strict obedience to it. |