82 ideas
| 13466 | We are all post-Kantians, because he set the current agenda for philosophy [Hart,WD] |
| Full Idea: We are all post-Kantians, ...because Kant set an agenda for philosophy that we are still working through. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: Hart says that the main agenda is set by Kant's desire to defend the principle of sufficient reason against Hume's attack on causation. I would take it more generally to be the assessment of metaphysics, and of a priori knowledge. |
| 13477 | The problems are the monuments of philosophy [Hart,WD] |
| Full Idea: The real monuments of philosophy are its problems. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: Presumably he means '....rather than its solutions'. No other subject would be very happy with that sort of claim. Compare Idea 8243. A complaint against analytic philosophy is that it has achieved no consensus at all. |
| 13515 | To study abstract problems, some knowledge of set theory is essential [Hart,WD] |
| Full Idea: By now, no education in abstract pursuits is adequate without some familiarity with sets. | |
| From: William D. Hart (The Evolution of Logic [2010], 10) | |
| A reaction: A heart-sinking observation for those who aspire to study metaphysics and modality. The question is, what will count as 'some' familiarity? Are only professional logicians now allowed to be proper philosophers? |
| 13469 | Tarski showed how we could have a correspondence theory of truth, without using 'facts' [Hart,WD] |
| Full Idea: It is an ancient and honourable view that truth is correspondence to fact; Tarski showed us how to do without facts here. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: This is a very interesting spin on Tarski, who certainly seems to endorse the correspondence theory, even while apparently inventing a new 'semantic' theory of truth. It is controversial how far Tarski's theory really is a 'correspondence' theory. |
| 13504 | Truth for sentences is satisfaction of formulae; for sentences, either all sequences satisfy it (true) or none do [Hart,WD] |
| Full Idea: We explain truth for sentences in terms of satisfaction of formulae. The crux here is that for a sentence, either all sequences satisfy it or none do (with no middle ground). For formulae, some sequences may satisfy it and others not. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: This is the hardest part of Tarski's theory of truth to grasp. |
| 13503 | A first-order language has an infinity of T-sentences, which cannot add up to a definition of truth [Hart,WD] |
| Full Idea: In any first-order language, there are infinitely many T-sentences. Since definitions should be finite, the agglomeration of all the T-sentences is not a definition of truth. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: This may be a warning shot aimed at Davidson's extensive use of Tarski's formal account in his own views on meaning in natural language. |
| 13500 | Conditional Proof: infer a conditional, if the consequent can be deduced from the antecedent [Hart,WD] |
| Full Idea: A 'conditional proof' licenses inferences to a conditional from a deduction of its consequent from its antecedent. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: That is, a proof can be enshrined in an arrow. |
| 13502 | ∃y... is read as 'There exists an individual, call it y, such that...', and not 'There exists a y such that...' [Hart,WD] |
| Full Idea: When a quantifier is attached to a variable, as in '∃(y)....', then it should be read as 'There exists an individual, call it y, such that....'. One should not read it as 'There exists a y such that...', which would attach predicate to quantifier. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: The point is to make clear that in classical logic the predicates attach to the objects, and not to some formal component like a quantifier. |
| 13456 | Set theory articulates the concept of order (through relations) [Hart,WD] |
| Full Idea: It is set theory, and more specifically the theory of relations, that articulates order. | |
| From: William D. Hart (The Evolution of Logic [2010]) | |
| A reaction: It would seem that we mainly need set theory in order to talk accurately about order, and about infinity. The two come together in the study of the ordinal numbers. |
| 13497 | Nowadays ZFC and NBG are the set theories; types are dead, and NF is only useful for the whole universe [Hart,WD] |
| Full Idea: The theory of types is a thing of the past. There is now nothing to choose between ZFC and NBG (Neumann-Bernays-Gödel). NF (Quine's) is a more specialized taste, but is a place to look if you want the universe. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13443 | ∈ relates across layers, while ⊆ relates within layers [Hart,WD] |
| Full Idea: ∈ relates across layers (Plato is a member of his unit set and the set of people), while ⊆ relates within layers (the singleton of Plato is a subset of the set of people). This distinction only became clear in the 19th century. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: Getting these two clear may be the most important distinction needed to understand how set theory works. |
| 13442 | Without the empty set we could not form a∩b without checking that a and b meet [Hart,WD] |
| Full Idea: Without the empty set, disjoint sets would have no intersection, and we could not form a∩b without checking that a and b meet. This is an example of the utility of the empty set. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: A novice might plausibly ask why there should be an intersection for every pair of sets, if they have nothing in common except for containing this little puff of nothingness. But then what do novices know? |
| 13493 | In the modern view, foundation is the heart of the way to do set theory [Hart,WD] |
| Full Idea: In the second half of the twentieth century there emerged the opinion that foundation is the heart of the way to do set theory. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) | |
| A reaction: It is foundation which is the central axiom of the iterative conception of sets, where each level of sets is built on previous levels, and they are all 'well-founded'. |
| 13495 | Foundation Axiom: an nonempty set has a member disjoint from it [Hart,WD] |
| Full Idea: The usual statement of Foundation is that any nonempty set has a member disjoint from it. This phrasing is ordinal-free and closer to the primitives of ZFC. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13461 | We can choose from finite and evident sets, but not from infinite opaque ones [Hart,WD] |
| Full Idea: When a set is finite, we can prove it has a choice function (∀x x∈A → f(x)∈A), but we need an axiom when A is infinite and the members opaque. From infinite shoes we can pick a left one, but from socks we need the axiom of choice. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: The socks example in from Russell 1919:126. |
| 13462 | With the Axiom of Choice every set can be well-ordered [Hart,WD] |
| Full Idea: It follows from the Axiom of Choice that every set can be well-ordered. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: For 'well-ordered' see Idea 13460. Every set can be ordered with a least member. |
| 13516 | If we accept that V=L, it seems to settle all the open questions of set theory [Hart,WD] |
| Full Idea: It has been said (by Burt Dreben) that the only reason set theorists do not generally buy the view that V = L is that it would put them out of business by settling their open questions. | |
| From: William D. Hart (The Evolution of Logic [2010], 10) | |
| A reaction: Hart says V=L breaks with the interative conception of sets at level ω+1, which is countable is the constructible view, but has continuum many in the cumulative (iterative) hierarch. The constructible V=L view is anti-platonist. |
| 13441 | Naďve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD] |
| Full Idea: 'Comprehension' is the assumption that every predicate has an extension. Naďve set theory is the theory whose axioms are extensionality and comprehension, and comprehension is thought to be its naivety. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: This doesn't, of course, mean that there couldn't be a more modest version of comprehension. The notorious difficulty come with the discovery of self-referring predicates which can't possibly have extensions. |
| 13494 | The iterative conception may not be necessary, and may have fixed points or infinitely descending chains [Hart,WD] |
| Full Idea: That the iterative sets suffice for most of ZFC does not show they are necessary, nor is it evident that the set of operations has no fixed points (as 0 is a fixed point for square-of), and no infinitely descending chains (like negative integers). | |
| From: William D. Hart (The Evolution of Logic [2010], 3) | |
| A reaction: People don't seem to worry that they aren't 'necessary', and further measures are possible to block infinitely descending chains. |
| 13457 | A 'partial ordering' is irreflexive and transitive; the sets are ordered, but not the subsets [Hart,WD] |
| Full Idea: We say that a binary relation R 'partially orders' a field A just in case R is irreflexive (so that nothing bears R to itself) and transitive. When the set is {a,b}, its subsets {a} and {b} are incomparable in a partial ordering. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) |
| 13458 | A partial ordering becomes 'total' if any two members of its field are comparable [Hart,WD] |
| Full Idea: A partial ordering is a 'total ordering' just in case any two members of its field are comparable, that is, either a is R to b, or b is R to a, or a is b. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: See Idea 13457 for 'partial ordering'. The three conditions are known as the 'trichotomy' condition. |
| 13460 | 'Well-ordering' must have a least member, so it does the natural numbers but not the integers [Hart,WD] |
| Full Idea: A total order 'well-orders' its field just in case any nonempty subset B of its field has an R-least member, that is, there is a b in B such that for any a in B different from b, b bears R to a. So less-than well-orders natural numbers, but not integers. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) | |
| A reaction: The natural numbers have a starting point, but the integers are infinite in both directions. In plain English, an order is 'well-ordered' if there is a starting point. |
| 13490 | Von Neumann defines α<β as α∈β [Hart,WD] |
| Full Idea: One of the glories of Von Neumann's theory of numbers is to define α < β to mean that α ∈ β. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13481 | Maybe sets should be rethought in terms of the even more basic categories [Hart,WD] |
| Full Idea: Some have claimed that sets should be rethought in terms of still more basic things, categories. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: [He cites F.William Lawvere 1966] It appears to the the context of foundations for mathematics that he has in mind. |
| 11022 | Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read] |
| Full Idea: Gentzen introduced a natural deduction calculus (NK) in 1934. | |
| From: report of Gerhard Gentzen (works [1938]) by Stephen Read - Thinking About Logic Ch.8 |
| 11065 | The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna] |
| Full Idea: Gentzen argued that the inferential role of a logical constant constitutes its meaning. | |
| From: report of Gerhard Gentzen (works [1938]) by Robert Hanna - Rationality and Logic 5.3 | |
| A reaction: Possibly inspired by Wittgenstein's theory of meaning as use? This idea was the target of Prior's famous connective 'tonk', which has the role of implying anything you like, proving sentences which are not logical consequences. |
| 11023 | The logical connectives are 'defined' by their introduction rules [Gentzen] |
| Full Idea: The introduction rules represent, as it were, the 'definitions' of the symbols concerned, and the elimination rules are no more, in the final analysis, than the consequences of these definitions. | |
| From: Gerhard Gentzen (works [1938]), quoted by Stephen Read - Thinking About Logic Ch.8 | |
| A reaction: If an introduction-rule (or a truth table) were taken as fixed and beyond dispute, then it would have the status of a definition, since there would be nothing else to appeal to. So is there anything else to appeal to here? |
| 11213 | Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen] |
| Full Idea: To every logical symbol there belongs precisely one inference figure which 'introduces' the symbol ..and one which 'eliminates' it. The introductions represent the 'definitions' of the symbols concerned, and eliminations are consequences of these. | |
| From: Gerhard Gentzen (works [1938], II.5.13), quoted by Ian Rumfitt - "Yes" and "No" III | |
| A reaction: [1935 paper] This passage is famous, in laying down the basics of natural deduction systems of logic (ones using only rules, and avoiding axioms). Rumfitt questions whether Gentzen's account gives the sense of the connectives. |
| 13506 | The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD] |
| Full Idea: All the main set theories deny that there is a set of which everything is a member. No interpretation has a domain with everything in it. So the universal quantifier never gets to mean everything all at once; 'all' does not mean all. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: Could you have an 'uncompleted' universal set, in the spirit of uncompleted infinities? In ordinary English we can talk about 'absolutely everything' - we just can't define a set of everything. Must we 'define' our domain? |
| 13512 | Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD] |
| Full Idea: The beginning of modern model theory was when Morley proved Los's Conjecture in 1962 - that a complete theory in a countable language categorical in one uncountable cardinal is categorical in all. | |
| From: William D. Hart (The Evolution of Logic [2010], 9) |
| 13505 | Model theory studies how set theory can model sets of sentences [Hart,WD] |
| Full Idea: Modern model theory investigates which set theoretic structures are models for which collections of sentences. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: So first you must choose your set theory (see Idea 13497). Then you presumably look at how to formalise sentences, and then look at the really tricky ones, many of which will involve various degrees of infinity. |
| 13511 | Model theory is mostly confined to first-order theories [Hart,WD] |
| Full Idea: There is no developed methematics of models for second-order theories, so for the most part, model theory is about models for first-order theories. | |
| From: William D. Hart (The Evolution of Logic [2010], 9) |
| 13513 | Models are ways the world might be from a first-order point of view [Hart,WD] |
| Full Idea: Models are ways the world might be from a first-order point of view. | |
| From: William D. Hart (The Evolution of Logic [2010], 9) |
| 13496 | First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD] |
| Full Idea: First-order logic is 'compact', which means that any logical consequence of a set (finite or infinite) of first-order sentences is a logical consequence of a finite subset of those sentences. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13484 | Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD] |
| Full Idea: Berry's Paradox: by the least number principle 'the least number denoted by no description of fewer than 79 letters' exists, but we just referred to it using a description of 77 letters. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) | |
| A reaction: I struggle with this. If I refer to 'an object to which no human being could possibly refer', have I just referred to something? Graham Priest likes this sort of idea. |
| 13482 | The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD] |
| Full Idea: The Burali-Forti Paradox was a crisis for Cantor's theory of ordinal numbers. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13507 | The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD] |
| Full Idea: In effect, the machinery introduced to solve the liar can always be rejigged to yield another version the liar. | |
| From: William D. Hart (The Evolution of Logic [2010], 4) | |
| A reaction: [He cites Hans Herzberger 1980-81] The machinery is Tarski's device of only talking about sentences of a language by using a 'metalanguage'. |
| 13459 | The less-than relation < well-orders, and partially orders, and totally orders the ordinal numbers [Hart,WD] |
| Full Idea: We can show (using the axiom of choice) that the less-than relation, <, well-orders the ordinals, ...and that it partially orders the ordinals, ...and that it totally orders the ordinals. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) |
| 13491 | The axiom of infinity with separation gives a least limit ordinal ω [Hart,WD] |
| Full Idea: The axiom of infinity with separation yields a least limit ordinal, which is called ω. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13463 | There are at least as many infinite cardinals as transfinite ordinals (because they will map) [Hart,WD] |
| Full Idea: Since we can map the transfinite ordinals one-one into the infinite cardinals, there are at least as many infinite cardinals as transfinite ordinals. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) |
| 13492 | Von Neumann's ordinals generalise into the transfinite better, because Zermelo's ω is a singleton [Hart,WD] |
| Full Idea: It is easier to generalize von Neumann's finite ordinals into the transfinite. All Zermelo's nonzero finite ordinals are singletons, but if ω were a singleton it is hard to see how if could fail to be the successor of its member and so not a limit. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) |
| 13446 | 19th century arithmetization of analysis isolated the real numbers from geometry [Hart,WD] |
| Full Idea: The real numbers were not isolated from geometry until the arithmetization of analysis during the nineteenth century. | |
| From: William D. Hart (The Evolution of Logic [2010], 1) |
| 13509 | We can establish truths about infinite numbers by means of induction [Hart,WD] |
| Full Idea: Mathematical induction is a way to establish truths about the infinity of natural numbers by a finite proof. | |
| From: William D. Hart (The Evolution of Logic [2010], 5) | |
| A reaction: If there are truths about infinities, it is very tempting to infer that the infinities must therefore 'exist'. A nice, and large, question in philosophy is whether there can be truths without corresponding implications of existence. |
| 13474 | Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD] |
| Full Idea: There is a familiar comparison between Euclid (unique parallel) and 'spherical' geometry (no parallel) and 'saddle' geometry (several parallels). | |
| From: William D. Hart (The Evolution of Logic [2010], 2) |
| 10067 | Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave] |
| Full Idea: Gentzen proved the consistency of arithmetic from assumptions which transcend arithmetic. | |
| From: report of Gerhard Gentzen (works [1938]) by Alan Musgrave - Logicism Revisited §5 | |
| A reaction: This does not contradict Gödel's famous result, but reinforces it. The interesting question is what assumptions Gentzen felt he had to make. |
| 13471 | Mathematics makes existence claims, but philosophers usually say those are never analytic [Hart,WD] |
| Full Idea: The thesis that no existence proposition is analytic is one of the few constants in philosophical consciences, but there are many existence claims in mathematics, such as the infinity of primes, five regular solids, and certain undecidable propositions. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) |
| 13488 | Mass words do not have plurals, or numerical adjectives, or use 'fewer' [Hart,WD] |
| Full Idea: Jespersen calls a noun a mass word when it has no plural, does not take numerical adjectives, and does not take 'fewer'. | |
| From: William D. Hart (The Evolution of Logic [2010], 3) | |
| A reaction: Jespersen was a great linguistics expert. |
| 13480 | Fregean self-evidence is an intrinsic property of basic truths, rules and definitions [Hart,WD] |
| Full Idea: The conception of Frege is that self-evidence is an intrinsic property of the basic truths, rules, and thoughts expressed by definitions. | |
| From: William D. Hart (The Evolution of Logic [2010], p.350) | |
| A reaction: The problem is always that what appears to be self-evident may turn out to be wrong. Presumably the effort of arriving at a definition ought to clarify and support the self-evident ingredient. |
| 13476 | The failure of key assumptions in geometry, mereology and set theory throw doubt on the a priori [Hart,WD] |
| Full Idea: In the case of the parallels postulate, Euclid's fifth axiom (the whole is greater than the part), and comprehension, saying was believing for a while, but what was said was false. This should make a shrewd philosopher sceptical about a priori knowledge. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: Euclid's fifth is challenged by infinite numbers, and comprehension is challenged by Russell's paradox. I can't see a defender of the a priori being greatly worried about these cases. No one ever said we would be right - in doing arithmetic, for example. |
| 13475 | The Fregean concept of GREEN is a function assigning true to green things, and false to the rest [Hart,WD] |
| Full Idea: A Fregean concept is a function that assigns to each object a truth value. So instead of the colour green, the concept GREEN assigns truth to each green thing, but falsity to anything else. | |
| From: William D. Hart (The Evolution of Logic [2010], 2) | |
| A reaction: This would seem to immediately hit the renate/cordate problem, if there was a world in which all and only the green things happened to be square. How could Frege then distinguish the green from the square? Compare Idea 8245. |
| 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? |
| 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. |
| 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. |
| 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. |