63 ideas
| 9955 | Contextual definitions replace a complete sentence containing the expression [George/Velleman] |
| Full Idea: A contextual definition shows how to analyse an expression in situ, by replacing a complete sentence (of a particular form) in which the expression occurs by another in which it does not. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: This is a controversial procedure, which (according to Dummett) Frege originally accepted, and later rejected. It might not be the perfect definition that replacing just the expression would give you, but it is a promising step. |
| 10031 | Impredicative definitions quantify over the thing being defined [George/Velleman] |
| Full Idea: When a definition contains a quantifier whose range includes the very entity being defined, the definition is said to be 'impredicative'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: Presumably they are 'impredicative' because they do not predicate a new quality in the definiens, but make use of the qualities already known. |
| 23853 | Truth is not a object we love - it is the radiant manifestation of reality [Weil] |
| Full Idea: Love of truth is not a correct form of expression. Truth is not an object of love. It is not an object at all. …Truth is the radiant manifestation of reality. | |
| From: Simone Weil (The Need for Roots [1943], III 'Growing') | |
| A reaction: Wow! Love that one! |
| 10098 | The 'power set' of A is all the subsets of A [George/Velleman] |
| Full Idea: The 'power set' of A is all the subsets of A. P(A) = {B : B ⊆ A}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10099 | The 'ordered pair' <a, b>, for two sets a and b, is the set {{a, b},{a}} [George/Velleman] |
| Full Idea: The 'ordered pair' <a, b>, for two sets a and b, is the set {{a, b},{a}}. The existence of this set is guaranteed by three applications of the Axiom of Pairing. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: See Idea 10100 for the Axiom of Pairing. |
| 10101 |
Cartesian Product A x B: the set of all ordered pairs |
| Full Idea: The 'Cartesian Product' of any two sets A and B is the set of all ordered pairs <a, b> in which a ∈ A and b ∈ B, and it is denoted as A x B. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10103 | Grouping by property is common in mathematics, usually using equivalence [George/Velleman] |
| Full Idea: The idea of grouping together objects that share some property is a common one in mathematics, ...and the technique most often involves the use of equivalence relations. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10104 | 'Equivalence' is a reflexive, symmetric and transitive relation; 'same first letter' partitions English words [George/Velleman] |
| Full Idea: A relation is an equivalence relation if it is reflexive, symmetric and transitive. The 'same first letter' is an equivalence relation on the set of English words. Any relation that puts a partition into clusters will be equivalence - and vice versa. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This is a key concept in the Fregean strategy for defining numbers. |
| 10096 | Even the elements of sets in ZFC are sets, resting on the pure empty set [George/Velleman] |
| Full Idea: ZFC is a theory concerned only with sets. Even the elements of all of the sets studied in ZFC are also sets (whose elements are also sets, and so on). This rests on one clearly pure set, the empty set Φ. ..Mathematics only needs pure sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This makes ZFC a much more metaphysically comfortable way to think about sets, because it can be viewed entirely formally. It is rather hard to disentangle a chair from the singleton set of that chair. |
| 10097 | Axiom of Extensionality: for all sets x and y, if x and y have the same elements then x = y [George/Velleman] |
| Full Idea: The Axiom of Extensionality says that for all sets x and y, if x and y have the same elements then x = y. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This seems fine in pure set theory, but hits the problem of renates and cordates in the real world. The elements coincide, but the axiom can't tell you why they coincide. |
| 10100 | Axiom of Pairing: for all sets x and y, there is a set z containing just x and y [George/Velleman] |
| Full Idea: The Axiom of Pairing says that for all sets x and y, there is a set z containing x and y, and nothing else. In symbols: ∀x∀y∃z∀w(w ∈ z ↔ (w = x ∨ w = y)). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: See Idea 10099 for an application of this axiom. |
| 17900 | The Axiom of Reducibility made impredicative definitions possible [George/Velleman] |
| Full Idea: The Axiom of Reducibility ...had the effect of making impredicative definitions possible. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10109 | ZFC can prove that there is no set corresponding to the concept 'set' [George/Velleman] |
| Full Idea: Sets, unlike extensions, fail to correspond to all concepts. We can prove in ZFC that there is no set corresponding to the concept 'set' - that is, there is no set of all sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: This is rather an important point for Frege. However, all concepts have extensions, but they may be proper classes, rather than precisely defined sets. |
| 10108 | As a reduction of arithmetic, set theory is not fully general, and so not logical [George/Velleman] |
| Full Idea: The problem with reducing arithmetic to ZFC is not that this theory is inconsistent (as far as we know it is not), but rather that is not completely general, and for this reason not logical. For example, it asserts the existence of sets. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: Note that ZFC has not been proved consistent. |
| 10111 | Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman] |
| Full Idea: A hallmark of our realist stance towards the natural world is that we are prepared to assert the Law of Excluded Middle for all statements about it. For all statements S, either S is true, or not-S is true. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) | |
| A reaction: Personally I firmly subscribe to realism, so I suppose I must subscribe to Excluded Middle. ...Provided the statement is properly formulated. Or does liking excluded middle lead me to realism? |
| 10129 | A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman] |
| Full Idea: A 'model' of a theory is an assignment of meanings to the symbols of its language which makes all of its axioms come out true. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: If the axioms are all true, and the theory is sound, then all of the theorems will also come out true. |
| 10105 | Differences between isomorphic structures seem unimportant [George/Velleman] |
| Full Idea: Mathematicians tend to regard the differences between isomorphic mathematical structures as unimportant. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This seems to be a pointer towards Structuralism as the underlying story in mathematics. The intrinsic character of so-called 'objects' seems unimportant. How theories map onto one another (and onto the world?) is all that matters? |
| 10119 | Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman] |
| Full Idea: Consistency is a purely syntactic property, unlike the semantic property of soundness. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10126 | A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman] |
| Full Idea: If there is a sentence such that both the sentence and its negation are theorems of a theory, then the theory is 'inconsistent'. Otherwise it is 'consistent'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) |
| 10120 | Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman] |
| Full Idea: Soundness is a semantic property, unlike the purely syntactic property of consistency. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10127 | A 'complete' theory contains either any sentence or its negation [George/Velleman] |
| Full Idea: If there is a sentence such that neither the sentence nor its negation are theorems of a theory, then the theory is 'incomplete'. Otherwise it is 'complete'. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: Interesting questions are raised about undecidable sentences, irrelevant sentences, unknown sentences.... |
| 10106 | Rational numbers give answers to division problems with integers [George/Velleman] |
| Full Idea: We can think of rational numbers as providing answers to division problems involving integers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Cf. Idea 10102. |
| 10102 | The integers are answers to subtraction problems involving natural numbers [George/Velleman] |
| Full Idea: In defining the integers in set theory, our definition will be motivated by thinking of the integers as answers to subtraction problems involving natural numbers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Typical of how all of the families of numbers came into existence; they are 'invented' so that we can have answers to problems, even if we can't interpret the answers. It it is money, we may say the minus-number is a 'debt', but is it? Cf Idea 10106. |
| 10107 | Real numbers provide answers to square root problems [George/Velleman] |
| Full Idea: One reason for introducing the real numbers is to provide answers to square root problems. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Presumably the other main reasons is to deal with problems of exact measurement. It is interesting that there seem to be two quite distinct reasons for introducing the reals. Cf. Ideas 10102 and 10106. |
| 9946 | Logicists say mathematics is applicable because it is totally general [George/Velleman] |
| Full Idea: The logicist idea is that if mathematics is logic, and logic is the most general of disciplines, one that applies to all rational thought regardless of its content, then it is not surprising that mathematics is widely applicable. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.2) | |
| A reaction: Frege was keen to emphasise this. You are left wondering why pure logic is applicable to the physical world. The only account I can give is big-time Platonism, or Pythagoreanism. Logic reveals the engine-room of nature, where the design is done. |
| 10125 | The classical mathematician believes the real numbers form an actual set [George/Velleman] |
| Full Idea: Unlike the intuitionist, the classical mathematician believes in an actual set that contains all the real numbers. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 17899 | Second-order induction is stronger as it covers all concepts, not just first-order definable ones [George/Velleman] |
| Full Idea: The first-order version of the induction axiom is weaker than the second-order, because the latter applies to all concepts, but the first-order applies only to concepts definable by a formula in the first-order language of number theory. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7 n7) |
| 10128 | The Incompleteness proofs use arithmetic to talk about formal arithmetic [George/Velleman] |
| Full Idea: The idea behind the proofs of the Incompleteness Theorems is to use the language of Peano Arithmetic to talk about the formal system of Peano Arithmetic itself. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) | |
| A reaction: The mechanism used is to assign a Gödel Number to every possible formula, so that all reasonings become instances of arithmetic. |
| 17902 | A successor is the union of a set with its singleton [George/Velleman] |
| Full Idea: For any set x, we define the 'successor' of x to be the set S(x) = x U {x}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: This is the Fregean approach to successor, where the Dedekind approach takes 'successor' to be a primitive. Frege 1884:§76. |
| 10133 | Frege's Theorem shows the Peano Postulates can be derived from Hume's Principle [George/Velleman] |
| Full Idea: The derivability of Peano's Postulates from Hume's Principle in second-order logic has been dubbed 'Frege's Theorem', (though Frege would not have been interested, because he didn't think Hume's Principle gave an adequate definition of numebrs). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8 n1) | |
| A reaction: Frege said the numbers were the sets which were the extensions of the sets created by Hume's Principle. |
| 10130 | Set theory can prove the Peano Postulates [George/Velleman] |
| Full Idea: The Peano Postulates can be proven in ZFC. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.7) |
| 10089 | Talk of 'abstract entities' is more a label for the problem than a solution to it [George/Velleman] |
| Full Idea: One might well wonder whether talk of abstract entities is less a solution to the empiricist's problem of how a priori knowledge is possible than it is a label for the problem. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Intro) | |
| A reaction: This pinpoints my view nicely. What the platonist postulates is remote, bewildering, implausible and useless! |
| 10131 | If mathematics is not about particulars, observing particulars must be irrelevant [George/Velleman] |
| Full Idea: As, in the logicist view, mathematics is about nothing particular, it is little wonder that nothing in particular needs to be observed in order to acquire mathematical knowledge. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002]) | |
| A reaction: At the very least we can say that no one would have even dreamt of the general system of arithmetic is they hadn't had experience of the particulars. Frege thought generality ensured applicability, but extreme generality might entail irrelevance. |
| 10092 | In the unramified theory of types, the types are objects, then sets of objects, sets of sets etc. [George/Velleman] |
| Full Idea: In the unramified theory of types, all objects are classified into a hierarchy of types. The lowest level has individual objects that are not sets. Next come sets whose elements are individuals, then sets of sets, etc. Variables are confined to types. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: The objects are Type 0, the basic sets Type 1, etc. |
| 10094 | The theory of types seems to rule out harmless sets as well as paradoxical ones. [George/Velleman] |
| Full Idea: The theory of types seems to rule out harmless sets as well as paradoxical ones. If a is an individual and b is a set of individuals, then in type theory we cannot talk about the set {a,b}. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Since we cheerfully talk about 'Cicero and other Romans', this sounds like a rather disasterous weakness. |
| 10095 | Type theory has only finitely many items at each level, which is a problem for mathematics [George/Velleman] |
| Full Idea: A problem with type theory is that there are only finitely many individuals, and finitely many sets of individuals, and so on. The hierarchy may be infinite, but each level is finite. Mathematics required an axiom asserting infinitely many individuals. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) | |
| A reaction: Most accounts of mathematics founder when it comes to infinities. Perhaps we should just reject them? |
| 17901 | Type theory prohibits (oddly) a set containing an individual and a set of individuals [George/Velleman] |
| Full Idea: If a is an individual and b is a set of individuals, then in the theory of types we cannot talk about the set {a,b}, since it is not an individual or a set of individuals, ...but it is hard to see what harm can come from it. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3) |
| 10114 | Bounded quantification is originally finitary, as conjunctions and disjunctions [George/Velleman] |
| Full Idea: In the first instance all bounded quantifications are finitary, for they can be viewed as abbreviations for conjunctions and disjunctions. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) | |
| A reaction: This strikes me as quite good support for finitism. The origin of a concept gives a good guide to what it really means (not a popular view, I admit). When Aristotle started quantifying, I suspect of he thought of lists, not totalities. |
| 10134 | Much infinite mathematics can still be justified finitely [George/Velleman] |
| Full Idea: It is possible to use finitary reasoning to justify a significant part of infinitary mathematics. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8) | |
| A reaction: This might save Hilbert's project, by gradually accepting into the fold all the parts which have been giving a finitist justification. |
| 10123 | The intuitionists are the idealists of mathematics [George/Velleman] |
| Full Idea: The intuitionists are the idealists of mathematics. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.6) |
| 10124 | Gödel's First Theorem suggests there are truths which are independent of proof [George/Velleman] |
| Full Idea: For intuitionists, truth is not independent of proof, but this independence is precisely what seems to be suggested by Gödel's First Incompleteness Theorem. | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8) | |
| A reaction: Thus Gödel was worse news for the Intuitionists than he was for Hilbert's Programme. Gödel himself responded by becoming a platonist about his unprovable truths. |
| 23855 | Creation produced a network or web of determinations [Weil] |
| Full Idea: What is sovereign in this world is determinateness, limit. Eternal Wisdom imprisons this universe in a network, a web of determinations. | |
| From: Simone Weil (The Need for Roots [1943], III 'Growth') | |
| A reaction: Love this, because I take 'determination' to be the defining relationship in ontology. It covers both physical causation and abstract necessities. |
| 10110 | Corresponding to every concept there is a class (some of them sets) [George/Velleman] |
| Full Idea: Corresponding to every concept there is a class (some classes will be sets, the others proper classes). | |
| From: A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.4) |
| 23848 | The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil] |
| Full Idea: The aesthete's point of view is sacreligious, not only in matters of religion but even in those of art. It consists in amusing oneself with beauty by handling it and looking at it. Beauty is something to be eaten: it is a food. | |
| From: Simone Weil (The Need for Roots [1943], II 'Country') | |
| A reaction: She is endorsing the 'food' view against the 'handling' view. Beauty should nourish, she says. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
| 23854 | Beauty is the proof of what is good [Weil] |
| Full Idea: When the subject in question is the good, beauty is a rigorous and positive proof. | |
| From: Simone Weil (The Need for Roots [1943], III 'Growing') | |
| A reaction: Purest platonism! It is incomprehensible to say 'this thing is evil, but it is beautiful'. But there are plenty of things which strike me as beautiful, without connecting that in any way to moral goodness. |
| 23837 | Respect is our only obligation, which can only be expressed through deeds, not words [Weil] |
| Full Idea: Humans have only one obligation: respect. The obligation is only performed if the respect is effectively expressed in a real, not a fictitious, way; and this can only be done through the medium of Man's earthly needs. | |
| From: Simone Weil (The Need for Roots [1943], I 'Needs') | |
| A reaction: She says man's 'eternal destiny' imposes this obligation. I read this as saying that you should not imagine that you treat people respectfully if you are merely polite to them. Col. Pickering and Eliza Doolittle! Respect is the supreme virtue. |
| 23844 | The most important human need is to have multiple roots [Weil] |
| Full Idea: To be rooted is perhaps the most important and least recognised need of the human soul. …Every human being needs to have multiple roots. | |
| From: Simone Weil (The Need for Roots [1943], II 'Uprootedness') | |
| A reaction: Agree. I think we are just like trees, in that we need roots to grow well, and plenty of space to fully flourish. Identifying those roots is the main task of parents and teachers. |
| 23838 | The need for order stands above all others, and is understood via the other needs [Weil] |
| Full Idea: Order is the first need of all; it evens stands above all needs properly so-called. To be able to conceive it we must know what the other needs are. | |
| From: Simone Weil (The Need for Roots [1943], I 'Order') | |
| A reaction: This may be music to conservative ears, but you should examine Weil's other ideas to see what she has in mind. |
| 23836 | Obligations only bind individuals, not collectives [Weil] |
| Full Idea: Obligations are only binding on human beings. There are no obligations for collectivities, as such. | |
| From: Simone Weil (The Need for Roots [1943], I 'Needs') | |
| A reaction: I take it that 'as such' excludes the institutions created by collectivities, such as parliaments and courts. A nomadic tribe seems to have no duties, as a tribe, apart from mutual obligations among its members. Does this excuse crimes by the tribe? |
| 23840 | A citizen should be able to understand the whole of society [Weil] |
| Full Idea: A man needs to be able to encompass in thought the entire range of activity of the social organism to which he belongs. | |
| From: Simone Weil (The Need for Roots [1943], I 'Responsibility') | |
| A reaction: She is urging the active involvement of citizens in decision making - for which they need appropriate knowledge. |
| 23843 | Even the poorest should feel collective ownership, and participation in grand display [Weil] |
| Full Idea: Participation in collective possessions is important. Where real civic life exists, each feels he has a personal ownership in the public monuments, gardens, ceremonial pomp and circumstances; sumptuousness is thus place within the reach of the poorest. | |
| From: Simone Weil (The Need for Roots [1943], I 'Collective') | |
| A reaction: OK with gardens. Dubious about fobbing the poor off with pomp. Monuments are a modern controversy, when they turn out to commemorate slavery and colonial conquest. I agree with her basic thought. |
| 23846 | Culture is an instrument for creating an ongoing succession of teachers [Weil] |
| Full Idea: Culture - as we know it - is an instrument manipulated by teachers for manufacturing more teachers, who, in their turn, will manufacture still more teachers. | |
| From: Simone Weil (The Need for Roots [1943], II 'Towns') | |
| A reaction: Lot of truth in this. We tend to view our greatest successes in students who become academics and teachers. Culture is very much seen as something which must be 'transmitted' to each new generation. |
| 23839 | A lifelong head of society should only be a symbol, not a ruler [Weil] |
| Full Idea: Wherever a man is placed for life at the head of a social organism, he ought to be a symbol and not a ruler, as is the case with the King of England. | |
| From: Simone Weil (The Need for Roots [1943], I 'Obedience') | |
| A reaction: Nice to hear a radical French thinker endorsing an ancient British tradition! She may not be endorsing a lifelong head of state. Lifelong rulers are the main agents of totalitarianism. |
| 23842 | Party politics in a democracy can't avoid an anti-democratic party [Weil] |
| Full Idea: A democracy where public life is made up of strife between political parties is incapable of preventing the formation of a party whose avowed aim is the overthrow of that democracy. | |
| From: Simone Weil (The Need for Roots [1943], I 'Opinion') | |
| A reaction: We have seen this around 2020 in the USA and the UK. Freedom is compulsory? Weil hates political parties (as did Rousseau). |
| 23847 | Socialism tends to make a proletariat of the whole population [Weil] |
| Full Idea: What is called Socialism tends to force everybody without distinction into the proletarian condition. | |
| From: Simone Weil (The Need for Roots [1943], II 'Towns') | |
| A reaction: For example, Weil favours maximising private house ownership, rather than communally owned housing. She is describing wholesale nationalisation. I would incline towards nationalisation only of all basic central services. |
| 23845 | The capitalists neglect the people and the nation, and even their own interests [Weil] |
| Full Idea: The capitalists have betrayed their calling by criminally neglecting not only the interests of the people, not only those of the nation, but even their own. | |
| From: Simone Weil (The Need for Roots [1943], II 'Towns') | |
| A reaction: It is certainly true that the dedicated capitalist has little loyalty either to the people or to the nation. She doesn't spell out their failure of self-interest. I guess it produces a way of life they don't really want, deep down. |
| 23841 | By making money the sole human measure, inequality has become universal [Weil] |
| Full Idea: By making money the sole, or almost the sole, motive of all actions, the sole, or almost the sole, measure of all things, the poison of inequality has been introduced everywhere. | |
| From: Simone Weil (The Need for Roots [1943], I 'Equality') | |
| A reaction: Presumably this dates right back to the invention of money, and then increases with the endless rise of capitalism. |
| 23835 | People have duties, and only have rights because of the obligations of others to them [Weil] |
| Full Idea: A right is effectual only in relation to its corresponding obligation, springing not from the individual who possesses it, but from others who consider themselves under an obligation to him. In isolation a man only has duties, and only others have rights. | |
| From: Simone Weil (The Need for Roots [1943], I 'Needs') | |
| A reaction: This seems correct, and obviously refutes the idea that people have intrinsic natural rights. However, it may be our sense of what nature requires which gives rise to the obligations we feel towards others. |
| 23852 | To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil] |
| Full Idea: In order to have the right to punish the guilty, we ought first of all to purify ourselves of their crimes. …But once this is accomplished we shall no longer feel the least desire to punish, or as little as possible and with extreme sorrow. | |
| From: Simone Weil (The Need for Roots [1943], III 'Growing') | |
| A reaction: Elsewhere she endorses punishment, as a social necessity, and a redemption for the wicked. This idea looks like a bit of a change of heart. She may be thinking of Jesus on the mote in someone's eye. |
| 23850 | The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil] |
| Full Idea: The distinction between soldiers and civilians, which the pressure of circumstances has already almost obliterated, should be entirely abolished. Every individual in the population owes his country the whole of his strength, resources and life itself. | |
| From: Simone Weil (The Need for Roots [1943], II 'Nation') | |
| A reaction: Written in London in 1943. The year carpet bombing seriously escalated. The facts of warfare can change the ethics. |
| 23851 | Education is essentially motivation [Weil] |
| Full Idea: Education - whether its object be children or adults, individuals or an entire people, or even oneself - consists in creating motives. | |
| From: Simone Weil (The Need for Roots [1943], III 'Growing') | |
| A reaction: I can't disagree. Intellectual motivation is simply what we find interesting, and there is no formula for that. A teacher can teach a good session, and only 5% of the pupils find it interesting. A bad session could be life-changing for one student. |
| 23849 | Religion should quietly suffuse all human life with its light [Weil] |
| Full Idea: The proper function of religion is to suffuse with its light all secular life, public or private, without in any way dominating it. | |
| From: Simone Weil (The Need for Roots [1943], II 'Nation') | |
| A reaction: Even for the non-religious there is something attractive about some view of the world which 'suffuses our lives with light'. It probably describes medieval Christendom, but that contained an awful lot of darkness. |