32 ideas
| 8349 | The best way to do ontology is to make sense of our normal talk [Davidson] |
| Full Idea: I do not know any better way of showing what there is than looking at the assumptions needed to make sense of our normal talk. | |
| From: Donald Davidson (Causal Relations [1967], §4) | |
| A reaction: Davidson was a pupil of Quine. This I take to be the last flowering of twentieth century linguistic philosophy. The ontology we deduce from talk in a children's playground might be very bizarre, but we are unlikely to endorse it. 'Honest, it's true!' |
| 23755 | Genius and love of truth are always accompanied by great humility [Weil] |
| Full Idea: Love of truth is always accompanied by humility, and real genius is nothing else but the supernatural virtue of humility in the domain of thought. | |
| From: Simone Weil (Human Personality [1943], p.87) | |
| A reaction: A striking and attractive thought, true of all the lovers of truth I have ever encountered. Socrates is the role model. She likens truth to an inarticulate plaintiff stammering before a judge who fluently manipulates opinions. |
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| Full Idea: One feature of the Axiom of Choice that troubled many mathematicians was the so-called Banach-Tarski paradox: using the Axiom, a sphere can be decomposed into finitely many parts and those parts reassembled into two spheres the same size as the original. | |
| From: Penelope Maddy (Defending the Axioms [2011], 1.3) | |
| A reaction: (The key is that the parts are non-measurable). To an outsider it is puzzling that the Axiom has been universally accepted, even though it produces such a result. Someone can explain that, I'm sure. |
| 17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
| Full Idea: If-thenism denies that mathematics is in the business of discovering truths about abstracta. ...[their opponents] obviously don't regard any starting point, even a consistent one, as equally worthy of investigation. | |
| From: Penelope Maddy (Defending the Axioms [2011], 3.3) | |
| A reaction: I have some sympathy with if-thenism, in that you can obviously study the implications of any 'if' you like, but deep down I agree with the critics. |
| 17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
| Full Idea: At the end of the nineteenth century there was a renewed emphasis on rigor, the central tool of which was axiomatization, along the lines of Hilbert's axioms for geometry and Dedekind's axioms for real numbers. | |
| From: Penelope Maddy (Defending the Axioms [2011], 1.3) |
| 17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
| Full Idea: The fact that two apparently fruitful mathematical themes turn out to coincide makes it all the more likely that they're tracking a genuine strain of mathematical depth. | |
| From: Penelope Maddy (Defending the Axioms [2011], 5.3ii) |
| 17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
| Full Idea: One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals. | |
| From: Penelope Maddy (Defending the Axioms [2011], 2.4 n40) |
| 17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
| Full Idea: Our set-theoretic methods track the underlying contours of mathematical depth. ...What sets are, most fundamentally, is markers for these contours ...they are maximally effective trackers of certain trains of mathematical fruitfulness. | |
| From: Penelope Maddy (Defending the Axioms [2011], 3.4) | |
| A reaction: This seems to make it more like a map of mathematics than the actual essence of mathematics. |
| 17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
| Full Idea: Ordinary perceptual cognition is most likely involved in our grasp of elementary arithmetic, but ...this connection to the physical world has long since been idealized away in the infinitary structures of contemporary pure mathematics. | |
| From: Penelope Maddy (Defending the Axioms [2011], 2.3) | |
| A reaction: Despite this, Maddy's quest is for a 'naturalistic' account of mathematics. She ends up defending 'objectivity' (and invoking Tyler Burge), rather than even modest realism. You can't 'idealise away' the counting of objects. I blame Cantor. |
| 8348 | If we don't assume that events exist, we cannot make sense of our common talk [Davidson] |
| Full Idea: The assumption, ontological and metaphysical, that there are events, is one without which we cannot make sense of much of our most common talk. | |
| From: Donald Davidson (Causal Relations [1967], §4) | |
| A reaction: He considers events to be unanalysable basics. Explanation of normal talk also needs ghosts, premonitions, telepathy and Father Christmas. It is extremely hard to individuate events, unless they are subatomic, and rather numerous. |
| 8347 | Explanations typically relate statements, not events [Davidson] |
| Full Idea: Explanations typically relate statements, not events. | |
| From: Donald Davidson (Causal Relations [1967], §4) | |
| A reaction: An oddly linguistic way of putting our attempts to understand the world. Presumably the statements are supposed to be about the events (or whatever), and they are supposed to be true, so we are trying to relate features of the world. |
| 23747 | What is sacred is not a person, but the whole physical human being [Weil] |
| Full Idea: There is something sacred in every man, but it is not his person. Nor yet is it the human personality. It is this man; no more and no less. …It is he. The whole of him. The arms, they eyes, the thoughts, everything. | |
| From: Simone Weil (Human Personality [1943], p,70) | |
| A reaction: I take her to be referring to exactly the concept of a 'person' which Locke introduced. It is important to remember that his concept is mainly forensic - as a concept of ownership and contracts. A person is an abstraction. Even a corpse is a human. |
| 23756 | The mind is imprisoned and limited by language, restricting our awareness of wider thoughts [Weil] |
| Full Idea: At the very best, a mind is enclosed in language as in a prison. It is limited to the number of relations which words can make simultaneously present to it; and remains in ignorance of thoughts which involve the combination of a greater number. | |
| From: Simone Weil (Human Personality [1943], p.89) | |
| A reaction: This seems to be a germ of the type of view of language which blossoms in Derrida. But she is on to something. None of us grasp fully, I think, the non-linguistic nature of good thinking. |
| 23758 | Beauty is an attractive mystery, leaving nothing to be desired [Weil] |
| Full Idea: Beauty is the supreme mystery of the world. It is a gleam which attracts the attention and yet does nothing to sustain it. …While exciting desire, it makes clear that there is nothing in it to be desired, because what we want is that it should not change. | |
| From: Simone Weil (Human Personality [1943], p.92) | |
| A reaction: She attributes beauty to a supernatural source. I catalogue this idea under 'the sublime', rather than 'beauty'. It may be better to say that beauty inspires love, rather than desire. |
| 23760 | All we need are the unity of justice, truth and beauty [Weil] |
| Full Idea: Justice, truth, and beauty are sisters and comrades. With three such beautiful words we have no need to look for any others. | |
| From: Simone Weil (Human Personality [1943], p.93) | |
| A reaction: The embodiment of platonist values. Without the platonist ontology, I like the identification of a few core values, and have always thought that Beauty, Goodness and Truth were a well chosen trio. Swapping 'justice' for 'goodness' is interesting. |
| 23748 | The sacred in every human is their expectation of good rather than evil [Weil] |
| Full Idea: At the bottom of every human heart …there is something that goes on indomitably expecting, in the teeth of all crimes committed, suffered and witnessed, that good and not evil will be done to him. It is this above all that is sacred in every human being. | |
| From: Simone Weil (Human Personality [1943], p.71) | |
| A reaction: I'm thinking that this expectation may come from having at least one loving parent, and failing that there are people who have no such expectation as adults. Simone obviously thinks the hope runs deeper than that. |
| 23759 | Everything which originates in love is beautiful [Weil] |
| Full Idea: Everything which originates from pure love is lit with the radiance of beauty. | |
| From: Simone Weil (Human Personality [1943], p.93) | |
| A reaction: I suppose if I found a counterexample, she would say that is not 'pure' love. This sentence leaves open the possibility of beauty in the absence of love (such as a beautiful face noticed in the street). In her case, can beauty and love be separated? |
| 23762 | Evil is transmitted by comforts and pleasures, but mostly by doing harm to people [Weil] |
| Full Idea: One may transmit evil to a human being by flattering him or giving him comforts and pleasures; but most often men transmit evil to other men by doing them harm. | |
| From: Simone Weil (Human Personality [1943], p.94) | |
| A reaction: Some people receive harm very passively, especially if it is normal. What of tough love, which is erroneously seen as harm? |
| 23750 | It is not more money which the wretched members of society need [Weil] |
| Full Idea: Suppose the devil were bargaining for the soul of some wretch, and some pitying person said to the devil 'Shame on you, that commodity is worth twice as much'. Such is the sinister farce played by the working class unions, parties and intellectuals. | |
| From: Simone Weil (Human Personality [1943], p.80) | |
| A reaction: A striking thought. It is paradoxical when the working classes despise the middle classes, and yet aspire to be like them. It's hard to know what a mystic like Weil has in mind. An obvious thought is that the aspiration should be freedom, not money. |
| 23749 | The problem of the collective is not suppression of persons, but persons erasing themselves [Weil] |
| Full Idea: The chief danger does not lie in the collectivity's tendency to circumscribe the person, but in the person's tendency to immolate himself in the collective. | |
| From: Simone Weil (Human Personality [1943], p.78) | |
| A reaction: I'm guessing that in 1943 she had in mind both Nazis and Communists. She seems to articulate a strong form of liberalism in an interesting way. It sounds like a form of Bad Faith. |
| 23753 | People absurdly claim an equal share of things which are essentially privileged [Weil] |
| Full Idea: To the dimmed understanding of our age there seems nothing odd in claiming an equal share of privilege for everybody - an equal share in things whose essence is privilege. | |
| From: Simone Weil (Human Personality [1943], p.84) | |
| A reaction: Not sure what she has in mind. Probably not the finest food and drink. I suppose she is attacking the modern egalitarian view of democratic society. What things have privilege as their 'essence'? Being a 'winner'? Interesting, though. |
| 23751 | Rights are asserted contentiously, and need the backing of force [Weil] |
| Full Idea: Rights are always asserted in a tone of contention; and when this tone is adopted, it must rely upon force in the background, or else it will be laughed at. | |
| From: Simone Weil (Human Personality [1943], p.81) | |
| A reaction: This is the sort of observation which leads on to Foucault's account of all-pervasive power. Her observation may not be so sinister. It is obvious that introductions of new rights go against the grain of a conservative society - and so need a push. |
| 23752 | Giving centrality to rights stifles all impulses of charity [Weil] |
| Full Idea: To place the notion of rights at the centre of social conflicts is to inhibit any possible impulse of charity on both sides. | |
| From: Simone Weil (Human Personality [1943], p.83) | |
| A reaction: I think she exaggerates. To place personal charity at the centre of social conflicts strikes me as extremely conservative, and unlikely to improve the situation very much. I'm unsure how to reconcile this with Idea 23750. What sort of charity? |
| 23757 | The spirit of justice needs the full attention of truth, and that attention is love [Weil] |
| Full Idea: Because affliction and truth need the same kind of attention …the spirit of justice and the spirit of truth are one. The spirit of justice and truth is nothing else be a certain kind of attention, which is pure love. | |
| From: Simone Weil (Human Personality [1943], p.92) | |
| A reaction: I'm not sure about this as an observation, but as an inspiration it is very appealing, and (as so often with Weil) strikingly and attractively independent. I prefer love to arise naturally, rather than be a product of exhortation. |
| 23761 | Justice (concerning harm) is distinct from rights (concerning inequality) [Weil] |
| Full Idea: Justice is seeing that no harm is done to men. When a man cries inwardly 'Why am I being hurt?' he is being harmed. The other cry of 'Why have others got more than me?' refers to rights. We must distinguish them, and hush the second with law. | |
| From: Simone Weil (Human Personality [1943], p.93) | |
| A reaction: Her great passion is for justice, and so she downplays rights. The simple 'why am I being hurt?' has a horrible resonance in 1943. What of the hurts of disease? Are they unjust? |
| 23764 | The only thing in society worse than crime is repressive justice [Weil] |
| Full Idea: There is one, and only one, thing in society more hideous than crime - namely, repressive justice. | |
| From: Simone Weil (Human Personality [1943], p.95) | |
| A reaction: Presumably fans of 'repressive' justice would describe it as 'reformative' justice. In general, one of the most hideous parts of historical human societies has been the punishments they dished out (simply because they had the power to do it). |
| 23763 | Punishment aims at the good for men who don't desire it [Weil] |
| Full Idea: Punishment is solely a method of procuring pure good for men who do not desire it. The art of punishing is the art of awakening in a criminal, by pain or even death, the desire for pure good. | |
| From: Simone Weil (Human Personality [1943], p.95) | |
| A reaction: I know Weil is seen as some sort of saint, but this remark could have come from the Inquisition. I'm always alarmed by talk of 'pure' good and 'pure' evil, which seem to need a superior insight the rest of us lack. But see Idea 23764. |
| 10371 | Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J] |
| Full Idea: Davidson distinguishes between causation, an extensional relation that holds between coarse events, and explanation, which is an intensional relation that holds between the coarse events under a description. | |
| From: report of Donald Davidson (Causal Relations [1967]) by Jonathan Schaffer - The Metaphysics of Causation 1.2 | |
| A reaction: I'm unclear why everything has to be so coarse, when reality and causal events seem to fine-grained, but the distinction strikes me as good. Explanations relate to human understanding and human interests. Cf. Anscombe's view. |
| 8403 | Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson] |
| Full Idea: It is best to avoid Davidson's view that only quite concrete events can serve as causes; we should either say that facts as well as events can serve as causes; or that the events can be highly unspecific, including 'omissions'. | |
| From: comment on Donald Davidson (Causal Relations [1967]) by Hartry Field - Causation in a Physical World 1 | |
| A reaction: Something NOT happening might be the main cause of an effect (drought), or an effect may mainly result from a situation rather than an event (famine). |
| 8346 | Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson] |
| Full Idea: The fuller we make the description of a cause, the better our chances of demonstrating that it was sufficient (as described) to produce the effect, and the worse our chances of demonstrating that it was necessary. (For the effect, it is the opposite). | |
| From: Donald Davidson (Causal Relations [1967], §3) | |
| A reaction: If the fullness of description is relevant, this suggests that Davidson is focusing on human explanations, rather than on the ontology of causation. If the cause IS necessary, why wouldn't a better description make that clearer? |
| 4778 | A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos] |
| Full Idea: For Davidson, what makes singular causal statements true is the existence of some regularities or laws. All causal is nomological: c causes e iff there is a law that connects events like c with events like e. | |
| From: report of Donald Davidson (Causal Relations [1967]) by Stathis Psillos - Causation and Explanation §2.6 | |
| A reaction: I wonder if the cart is before the horse here. Scriven says this is just a claim that there are "phantom laws". It is the Humean view of causation, but surely the laws come after the causation, so can't be used to explain it? |
| 23754 | The only choice is between supernatural good, or evil [Weil] |
| Full Idea: In all the crucial problems of human existence the only choice is between supernatural good on the one hand and evil on the other. | |
| From: Simone Weil (Human Personality [1943], p.86) | |
| A reaction: This idea strikes me as absurd, but I include it for a fuller picture of Simone Weil. Aristotle (my hero) is referred to, and labelled as more stupid than a village idiot. |