47 ideas
| 6319 | Wise people choose inaction and silence [Laozi (Lao Tzu)] |
| Full Idea: The sage keeps to the deed that consists in taking no action and practises the teaching that uses no words. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.II.6) | |
| A reaction: Notice that this is an active 'deed', and a positive 'practice'. He is not just recommending indifference and lethargy. Personally I don't find the advice very appealing, but it might be good if you live in 'interesting times'. |
| 6325 | One who knows does not speak; one who speaks does not know [Laozi (Lao Tzu)] |
| Full Idea: One who knows does not speak; one who speaks does not know. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LVI.128) | |
| A reaction: A famous remark, which my western mind finds simply perplexing. It strikes me as wicked selfishness to keep your wisdom to yourself, and not try to persuade others to follow it. We are all in this together, I say. |
| 8220 | Philosophy is in a perpetual state of digression [Deleuze/Guattari] |
| Full Idea: Philosophy can be seen as being in a perpetual state of digression. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: Anyone who has ever tried to teach philosophy will vouch for this. Philosophy is the 'Arabian Nights', conjuring up wonderful stories, to avoid having to face something nasty. Philosophy is perpetual postponement of problems. |
| 8217 | Philosophy is a concept-creating discipline [Deleuze/Guattari] |
| Full Idea: Philosophy is the discipline that involves creating concepts. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], Intro) | |
| A reaction: One might very reasonably reply that Geography is a discipline which creates concepts. However, this emphasis is an interesting corrective to the school of analysis, which appears confined to existing, and even 'folk', concepts. |
| 8242 | Philosophy aims at what is interesting, remarkable or important - not at knowledge or truth [Deleuze/Guattari] |
| Full Idea: Philosophy does not consist in knowing, and is not inspired by truth. Rather, it is categories like Interesting, Remarkable, or Important that determine success or failure. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.3) | |
| A reaction: Speak for yourself. I wonder what the criteria are for 'Interesting' or 'Important'. They can't seriously count 'remarkable' as a criterion of philosophical success, can they? There can be remarkable stupidity. |
| 6321 | Vulgar people are alert; I alone am muddled [Laozi (Lao Tzu)] |
| Full Idea: Vulgar people are alert; I alone am muddled. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.XX.47) | |
| A reaction: Personally I think all human beings are deeply perplexed when they actually address their situation, but most people never spend more than a few minutes a year worrying about it. |
| 8223 | The plague of philosophy is those who criticise without creating, and defend dead concepts [Deleuze/Guattari] |
| Full Idea: Those who criticise without creating, those who are content to defend the vanished concept without being able to give it the forces it needs to return to life, are the plague of philosophy. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: This seems to be the continental view of analytical philosophy, that it is pathetically conservative. I would offer MacIntyre as a response, who gives a beautiful analysis of why the super-modern view is dead. The French are hopelessly romantic. |
| 8247 | Phenomenology needs art as logic needs science [Deleuze/Guattari] |
| Full Idea: Phenomenology needs art as logic needs science. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 2.6) | |
| A reaction: I would have thought that it was science that needs logic. Art is more elitist than science, and less universal. I presume artists and phenomenologists share a target of deconstructing lived human experience. |
| 8224 | 'Eris' is the divinity of conflict, the opposite of Philia, the god of friendship [Deleuze/Guattari] |
| Full Idea: 'Eris' is the Greek divinity of discord, conflict, and strife, the complementary opposite of Philia, the divinity of union and friendship. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.2 n) | |
| A reaction: Are these actual gods? This interestingly implies that the wonders of dialectic and Socrates' elenchus are simply aspects of friendship, which was elevated by Epicurus to the highest good. The Greeks just wanted wonderful friends and fine speeches. |
| 10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
| Full Idea: While truth can be defined in a relative way, as truth in one particular model, a non-relative notion of truth is implied, as truth in all models. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: [The article is actually discussing arithmetic] This idea strikes me as extremely important. True-in-all-models is usually taken to be tautological, but it does seem to give a more universal notion of truth. See semantic truth, Tarski, Davidson etc etc. |
| 10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
| Full Idea: In standard ZFC ('Zermelo-Fraenkel with Choice') set theory we deal merely with pure sets, not with additional urelements. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2) | |
| A reaction: The 'urelements' would the actual objects that are members of the sets, be they physical or abstract. This idea is crucial to understanding philosophy of mathematics, and especially logicism. Must the sets exist, just as the urelements do? |
| 8219 | Logic has an infantile idea of philosophy [Deleuze/Guattari] |
| Full Idea: Logic has an infantile idea of philosophy. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: This offers some explanation of why Anglo-American philosophers are steeped in logic, and the continentals just ignore it. I have some sympathy with the French view. Logic seems to study language with all the interesting part drained off. |
| 8246 | Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari] |
| Full Idea: A real hatred inspires logic's rivalry with, or its will to supplant, philosophy. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 2.6) | |
| A reaction: A delightful corrective to the neurotic inferiority that most English-speaking philosophers feel about their failure to master logic. What was Aristotle playing at when he invented logic? Philosophical talent is utterly different from a talent for logic. |
| 10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
| Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5) | |
| A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types. |
| 10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
| Full Idea: 'Analysis' is the theory of the real numbers. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2) | |
| A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work. |
| 10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
| Full Idea: The difficulties for a nominalistic mereological approach to arithmetic is that an infinity of physical objects are needed (space-time points? strokes?), and it must define functions, such as 'successor'. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: Many ontologically austere accounts of arithmetic are faced with the problem of infinity. The obvious non-platonist response seems to be a modal or if-then approach. To postulate infinite abstract or physical entities so that we can add 3 and 2 is mad. |
| 10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
| Full Idea: A common formulation of Peano Arithmetic uses 2nd-order logic, the constant '1', and a one-place function 's' ('successor'). Three axioms then give '1 is not a successor', 'different numbers have different successors', and induction. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2) | |
| A reaction: This is 'second-order' Peano Arithmetic, though it is at least as common to formulate in first-order terms (only quantifying over objects, not over properties - as is done here in the induction axiom). I like the use of '1' as basic instead of '0'! |
| 10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
| Full Idea: The merits of basing an account of mathematics on set theory are that it allows for a comprehensive unified treatment of many otherwise separate branches of mathematics, and that all assumption, including existence, are explicit in the axioms. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: I am forming the impression that set-theory provides one rather good model (maybe the best available) for mathematics, but that doesn't mean that mathematics is set-theory. The best map of a landscape isn't a landscape. |
| 10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
| Full Idea: Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2) | |
| A reaction: In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent. |
| 10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
| Full Idea: Relativist Structuralism simply picks one particular model of axiomatised arithmetic (i.e. one particular interpretation that satisfies the axioms), and then stipulates what the elements, functions and quantifiers refer to. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: The point is that a successful model can be offered, and it doesn't matter which one, like having any sort of aeroplane, as long as it flies. I don't find this approach congenial, though having a model is good. What is the essence of flight? |
| 10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
| Full Idea: The term 'structure' has two uses in the literature, what can be called 'particular structures' (which are particular relational systems), but also what can be called 'universal structures' - what particular systems share, or what they instantiate. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §6) | |
| A reaction: This is a very helpful distinction, because it clarifies why (rather to my surprise) some structuralists turn out to be platonists in a new guise. Personal my interest in structuralism has been anti-platonist from the start. |
| 10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
| Full Idea: According to 'pattern' structuralism, what we study are not the various particular isomorphic models of arithmetic, but something in addition to them: a corresponding pattern. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §7) | |
| A reaction: Put like that, we have to feel a temptation to wield Ockham's Razor. It's bad enough trying to give the structure of all the isomorphic models, without seeking an even more abstract account of underlying patterns. But patterns connect to minds.. |
| 10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
| Full Idea: There are four main variants of structuralism in the philosophy of mathematics - formalist structuralism, relativist structuralism, universalist structuralism (with modal variants), and pattern structuralism. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §9) | |
| A reaction: I'm not sure where Chihara's later book fits into this, though it is at the nominalist end of the spectrum. Shapiro and Resnik do patterns (the latter more loosely); Hellman does modal universalism; Quine does the relativist version. Dedekind? |
| 10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
| Full Idea: Formalist Structuralism endorses structural methodology in mathematics, but rejects semantic and metaphysical problems as either meaningless, or purely formal, or as inference relations. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §3) | |
| A reaction: [very compressed] I find the third option fairly congenial, certainly in preference to rather platonist accounts of structuralism. One still needs to distinguish the mathematical from the non-mathematical in the inference relations. |
| 10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
| Full Idea: It is tempting to take a modal turn, and quantify over all possible objects, because if there are only a finite number of actual objects, then there are no models (of the right sort) for Peano Arithmetic, and arithmetic is vacuously true. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5) | |
| A reaction: [compressed; Geoffrey Hellman is the chief champion of this view] The article asks whether we are not still left with the puzzle of whether infinitely many objects are possible, instead of existent. |
| 10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
| Full Idea: Universalist Structuralism is a semantic thesis, that an arithmetical statement asserts a universal if-then statement. We build an if-then statement (using quantifiers) into the structure, and we generalise away from any one particular model. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5) | |
| A reaction: There remains the question of what is distinctively mathematical about the highly generalised network of inferences that is being described. Presumable the axioms capture that, but why those particular axioms? Russell is cited as an originator. |
| 10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
| Full Idea: Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5) | |
| A reaction: I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra. |
| 10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
| Full Idea: Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity. |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| Full Idea: One way for a nominalist to reject appeal to all abstract objects, including sets, is to only appeal to nominalistically acceptable objects, including mereological sums. | |
| From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4) | |
| A reaction: I'm suddenly thinking that this looks very interesting and might be the way to go. The issue seems to be whether mereological sums should be seen as constrained by nature, or whether they are unrestricted. See Mereology in Ontology...|Intrinsic Identity. |
| 6328 | To know yet to think that one does not know is best [Laozi (Lao Tzu)] |
| Full Idea: To know yet to think that one does not know is best. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXI.173) | |
| A reaction: Tricky. Self-deception doesn't sound like a virtue to me. There are epistemic virtues, and caution about one's own knowledge has to be one of them, but a totally false assessment sounds counter-productive. |
| 6323 | Pursuit of learning increases activity; the Way decreases it [Laozi (Lao Tzu)] |
| Full Idea: In the pursuit of learning one knows more every day; in the pursuit of the Way one does less every day. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLVII.108) | |
| A reaction: Everything in my culture has raised the status of the pursuit of learning, so that I can hardly comprehend what is proposed by the Way. I don't believe that the Way can be achieved without great learning, but one might move beyond learning. |
| 8221 | We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari] |
| Full Idea: There is no point in wondering whether Descartes' Cogito is right or wrong. Is it necessary "to begin", and, if so, is it necessary to start from the point of view of a subjective certainty? Can thought be the verb of an I? There is no direct answer. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: A nice first sentence for a work of philosophy would be "It is necessary to begin". Is the Cogito the only idea that is beyond judgement? I fear a slippery slope here, which would paralyse all of our judgements - and would therefore be ridiculous. |
| 8222 | Concepts are superior because they make us more aware, and change our thinking [Deleuze/Guattari] |
| Full Idea: If one concept is 'better' than an earlier one, it is because it makes us aware of new variations and unknown resonances, it carries out unforeseen cuttings-out, it brings forth an Event that surveys (survole) us. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: I don't get much of that, but it is certainly in tune with the Kuhn/Feyerabend idea that what science can generate is fresh visions, rather than precisely expanded truths. Personally I consider it dangerous nonsense, but I thought I ought to pass it on. |
| 8218 | Other people completely revise our perceptions, because they are possible worlds [Deleuze/Guattari] |
| Full Idea: The concept of the Other Person as expression of a possible world in a perceptual field leads us to consider the components of this field in a new way. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1) | |
| A reaction: I like the idea that other people are possible worlds. You can give reductionist accounts of the human animal till the cows come home, but when one walk into your visual field, the mind takes off. See Crusoe and Friday. |
| 8248 | Phenomenology says thought is part of the world [Deleuze/Guattari] |
| Full Idea: According to phenomenology, thought depends on man's relations with the world - with which the brain is necessarily in agreement because it is drawn from these relations. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], Conclusion) | |
| A reaction: The development of externalist views of mind, arising from the Twin Earth idea, seems to provide a link to continental philosophy, where similar ideas are found in Husserl, Sartre and Merleau-Ponty. So study science, psychology, or sociology? |
| 8245 | The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari] |
| Full Idea: Logic is reductionist not accidentally, but essentially and necessarily: following the route marked out by Frege and Russell, it wants to turn the concept into a function (...when actually a concept is a form, or a force). | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 2.6) | |
| A reaction: [Last part on p.144] I'm not sure that I understand 'form or force', but the idea that concepts are mere functions is like describing something as 'transport', without saying whether it is bus/bike/train.. Is a concept a vision, or a tool? |
| 6331 | Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)] |
| Full Idea: Truthful words are not beautiful; beautiful words are not truthful. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXXI.194) | |
| A reaction: A sharp disagreement with Keats ('Ode to a Grecian Urn'). A deep and important question, especially in relation to Plato's discussion of rhetoric (where he is very ambivalent). Great mathematics is beautiful. Truth can harsh. On the whole, I disagree. |
| 6330 | One with no use for life is wiser than one who values it [Laozi (Lao Tzu)] |
| Full Idea: It is just because one has no use for life that one is wiser than the man who values life. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXV.181a) | |
| A reaction: To have no use for life certainly seems to put a person into a position of superiority, especially when the 'Titanic' is sinking. However, if our lives have no value, I don't know what does. A balance must clearly be struck. |
| 6327 | Do good to him who has done you an injury [Laozi (Lao Tzu)] |
| Full Idea: Do good to him who has done you an injury. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXIII.148) | |
| A reaction: Compare Idea 6288 (Jesus). People like this really mess up the social contract theory of morality. If they are going to return good for your evil, there doesn't seem much point in helping them, given how much effort is involved. Most peculiar… |
| 23402 | The highest virtue is achieved without effort [Laozi (Lao Tzu)] |
| Full Idea: Those of highest virtue do not strive for virtue, and so they have it. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], 38), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 8.II.2 | |
| A reaction: Every moralist's dream is the person to whom virtue comes so naturally that no thought is required. This says they don't even notice it; Aristotle says they simply enjoying behaving virtuously. |
| 6324 | To gain in goodness, treat as good those who are good, and those who are not [Laozi (Lao Tzu)] |
| Full Idea: Those who are good I treat as good; those who are not good I also treat as good; in doing so I gain in goodness. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLIX.111) | |
| A reaction: Socrates (idea 346) and Jesus (Idea 6288) had similar ideas. Who, though, is going to administer justice, and where is the idea that people 'deserve' good or ill treatment? Schoolteachers should treat all children as if they were good. |
| 6322 | There is no crime greater than having too many desires [Laozi (Lao Tzu)] |
| Full Idea: There is no crime greater than having too many desires. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLVI.104) | |
| A reaction: It seems harsh to call this a 'crime', given that no one is likely to choose to have 'too many' desires. The crime is in deciding to stimulate desire to excess, or deciding to show no sensible restraint. |
| 6320 | The best rulers are invisible, the next admired, the next feared, and the worst are exploited [Laozi (Lao Tzu)] |
| Full Idea: The best of all rulers is but a shadowy presence to his subjects; next comes the ruler they love and praise; next comes one they fear; next comes one with whom they take liberties. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.XVII.39) | |
| A reaction: This fits our understanding of football referees to perfection. It might apply to anyone doing a vital adminstrative job, such as compiling a school timetable. It is hard, though, to accept anonymity as a mark of success. |
| 6329 | People are hard to govern because authorities love to do things [Laozi (Lao Tzu)] |
| Full Idea: It is because those in authority are too fond of action that the people are difficult to govern. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXV.181) | |
| A reaction: I love this. It should be on the wall of every human institution in our civilization. How the heart sinks at the prospect of a 'new initiative'. Not that I am against action; it is just important to recognise that inaction is sometimes the best option. |
| 6326 | The better known the law, the more criminals there are [Laozi (Lao Tzu)] |
| Full Idea: The better known the laws and edicts, the more thieves and robbers there are. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LVII.132) | |
| A reaction: Nice. I link this with my favourite moral maxim from Democritus (Idea 519). The idea is that continual emphasis on what you should not do fills the mind with evil possibilities. Moral perfection must start by taking goodness for granted. |
| 23401 | A military victory is not a thing of beauty [Laozi (Lao Tzu)] |
| Full Idea: A military victory is not a thing of beauty. | |
| From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], 31), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 8.II.1 | |
| A reaction: Should be written on the wall of every military academy and barracks. |
| 8243 | Atheism is the philosopher's serenity, and philosophy's achievement [Deleuze/Guattari] |
| Full Idea: It is amazing that so many philosophers take the death of God as tragic. Atheism is not a drama, but the philosopher's serenity and philosophy's achievement. | |
| From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.4) | |
| A reaction: It seems to me that it is the late nineteenth and early twentieth century that feels the death of God as a tragedy. Modern Anglo-American philosophers are mostly pretty serene on the subject, unless, like Dennett, they go on the offensive. |