23 ideas
| 22396 | We take courage, temperance, wisdom and justice as moral, but Aristotle takes wisdom as intellectual [Foot] |
| Full Idea: For us there are four cardinal moral virtues: courage, temperance, wisdom and justice. But Aristotle and Aquinas call only three of these virtues moral virtues; practical wisdom (phronesis, prudentia) they class with the intellectual virtues. | |
| From: Philippa Foot (Virtues and Vices [1978], p.2) | |
| A reaction: I'm not sure about 'for us'. How many of us rank temperance as a supreme virtue? Aristotle ranks phronesis (which I think of as 'common sense') as the key enabler of the moral virtues, making it unlike the other intellectual virtues. |
| 22397 | Wisdom is open to all, and not just to the clever or well trained [Foot] |
| Full Idea: Knowledge that can be acquired only by someone who is clever or who has access to special training is not counted as part of wisdom. | |
| From: Philippa Foot (Virtues and Vices [1978], p.6) | |
| A reaction: Consider Pierre's peasant friend Platon Karatayev in 'War and Peace'. I assume 'special training' rules out anyone with a philosophy degree. |
| 9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
| Full Idea: The tendency to attack forms of expression rather than attempting to appreciate what is actually being said is one of the more unfortunate habits that analytic philosophy inherited from Frege. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IV) | |
| A reaction: The key to this, I say, is to acknowledge the existence of propositions (in brains). For example, this belief will make teachers more sympathetic to pupils who are struggling to express an idea, and verbal nit-picking becomes totally irrelevant. |
| 8868 | Objective truth arises from interpersonal communication [Davidson] |
| Full Idea: The source of the concept of objective truth is interpersonal communication. | |
| From: Donald Davidson (Three Varieties of Knowledge [1991], p.209) | |
| A reaction: This is a distinctively Davidsonian idea, arising out of Wittgenstein's Private Language Argument. We could go a step further, and just say that 'objectivity is a social concept'. Davidson more or less pleads guilty to pragmatism in this essay. |
| 9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
| Full Idea: The conception that what can be numbered is some object (including flocks of sheep) relative to a partition - a choice of unit - survived even in the late nineteenth century in the form of the rejection of the null set (and difficulties with unit sets). | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IX) | |
| A reaction: This old view can't be entirely wrong! Frege makes the point that if asked to count a pack of cards, you must decide whether to count cards, or suits, or pips. You may not need a 'unit', but you need a concept. 'Units' name concept-extensions nicely! |
| 9984 | We can have a series with identical members [Tait] |
| Full Idea: Why can't we have a series (as opposed to a linearly ordered set) all of whose members are identical, such as (a, a, a...,a)? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VII) | |
| A reaction: The question is whether the items order themselves, which presumably the natural numbers are supposed to do, or whether we impose the order (and length) of the series. What decides how many a's there are? Do we order, or does nature? |
| 8867 | A belief requires understanding the distinctions of true-and-false, and appearance-and-reality [Davidson] |
| Full Idea: Having a belief demands in addition appreciating the contrast between true belief and false, between appearance and reality, mere seeming and being. | |
| From: Donald Davidson (Three Varieties of Knowledge [1991], p.209) | |
| A reaction: This sets the bar very high for belief (never mind knowledge), and seems to imply that animals don't have beliefs. How should we describe their cognitive states then? I would say these criteria only apply to actual knowledge. |
| 10347 | Objectivity is intersubjectivity [Davidson] |
| Full Idea: An entity is objective in so far as it is intersubjective. | |
| From: Donald Davidson (Three Varieties of Knowledge [1991]), quoted by Martin Kusch - Knowledge by Agreement Ch.10 | |
| A reaction: This thought baffled me until I saw it in the context of socialised epistemology. Effectively objectivity is subsumed under justification, which in turn is seen in a social context, not private to individuals. |
| 8866 | If we know other minds through behaviour, but not our own, we should assume they aren't like me [Davidson] |
| Full Idea: If the mental states of others are known only through their behavioral and other outward manifestations, while this is not true of our own mental states, why should we think our own mental states are anything like those of others? | |
| From: Donald Davidson (Three Varieties of Knowledge [1991], p.207) | |
| A reaction: His point is that if you seriously doubt other minds, you should follow through on the implications. But that is to treat it as a theory about other minds, rather an a sceptical worry. Descartes didn't walk into walls while writing Meditation 1. |
| 10346 | Knowing other minds rests on knowing both one's own mind and the external world [Davidson, by Dummett] |
| Full Idea: Davidson argues that knowledge of other minds presupposes knowledge of one's own mind, and that there is no knowledge of other minds without knowledge of the external world. | |
| From: report of Donald Davidson (Three Varieties of Knowledge [1991]) by Michael Dummett - Common Sense and Physics Ch.10 | |
| A reaction: Davidson't argument is actually hard to swallow because it is so long and complex. Compressing the point makes it begin to sound like a variant of the argument from analogy. |
| 9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
| Full Idea: If the sense of a proposition about the abstract domain is given in terms of the corresponding proposition about the (relatively) concrete domain, ..and the truth of the former is founded upon the truth of the latter, then this is 'logical abstraction'. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: The 'relatively' in parentheses allows us to apply his idea to levels of abstraction, and not just to the simple jump up from the concrete. I think Tait's proposal is excellent, rather than purloining 'abstraction' for an internal concept within logic. |
| 9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
| Full Idea: Although (in Cantor and Dedekind) abstraction does not (as has often been observed) play any role in their proofs, but it does play a role, in that it fixes the grammar, the domain of meaningful propositions, and so determining the objects in the proofs. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: [compressed] This is part of a defence of abstractionism in Cantor and Dedekind (see K.Fine also on the subject). To know the members of a set, or size of a domain, you need to know the process or function which created the set. |
| 9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
| Full Idea: A different reading of abstraction is that it concerns, not the individuating properties of the elements relative to one another, but rather the individuating properties of the set itself, for example the concept of what is its extension. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VIII) | |
| A reaction: If the set was 'objects in the room next door', we would not be able to abstract from the objects, but we might get to the idea of things being contain in things, or the concept of an object, or a room. Wrong. That's because they are objects... Hm. |
| 9972 | Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait] |
| Full Idea: Why should abstraction from two equipollent sets lead to the same set of 'pure units'? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996]) | |
| A reaction: [Tait is criticising Cantor] This expresses rather better than Frege or Dummett the central problem with the abstractionist view of how numbers are derived from matching groups of objects. |
| 9980 | If abstraction produces power sets, their identity should imply identity of the originals [Tait] |
| Full Idea: If the power |A| is obtained by abstraction from set A, then if A is equipollent to set B, then |A| = |B|. But this does not imply that A = B. So |A| cannot just be A, taken in abstraction, unless that can identify distinct sets, ..or create new objects. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: An elegant piece of argument, which shows rather crucial facts about abstraction. We are then obliged to ask how abstraction can create an object or a set, if the central activity of abstraction is just ignoring certain features. |
| 8870 | Content of thought is established through communication, so knowledge needs other minds [Davidson] |
| Full Idea: Until a baseline has been established by communication with someone else, there is no point is saying one's own thoughts have a propositional content. Hence knowledge of another mind is essential all thought and all knowledge. | |
| From: Donald Davidson (Three Varieties of Knowledge [1991], p.213) | |
| A reaction: This really is building a skyscraper on the slightly shaky claims of the Private Language Argument (e.g. Idea 4158). Animals are so important in discussions of this kind. Is an albatross more or less devoid of thought and belief? |
| 8869 | The principle of charity attributes largely consistent logic and largely true beliefs to speakers [Davidson] |
| Full Idea: Concerning charity, the Principle of Coherence seeks logical consistency in the thought of the speaker, and the Principle of Correspondence seeks a similar response to features of the world to that of an interpreter. The speaker has logic and true belief. | |
| From: Donald Davidson (Three Varieties of Knowledge [1991], p.211) | |
| A reaction: Davidson adds a Kantian commitment to pure and universal reason to the very sceptical framework created by Quine. I agree with Davidson, but it seems more like faith than like an argument or an empirical observation. |
| 22402 | Most people think virtues can be displayed in bad actions [Foot] |
| Full Idea: Hardly anyone sees any difficulty in the thought that virtues may sometimes be displayed in bad actions. The courage of the villain can be spoken of as quite unproblematic. | |
| From: Philippa Foot (Virtues and Vices [1978], III) | |
| A reaction: She cites Peter Geach as a sole opponent of this view. The courage of the entire German army in WWII seems to fall into this category. The boldness of villains has to impress the virtuous but timid. |
| 23145 | Virtues are intended to correct design flaws in human beings [Foot, by Driver] |
| Full Idea: A popular view (expressed by Philippa Foot) is that the virtues work to 'correct' for the baser human impulses and motives. …Virtues are solutions to design flaws in human beings. | |
| From: report of Philippa Foot (Virtues and Vices [1978]) by Julia Driver - The Virtues and Human Nature 1 | |
| A reaction: Quite a plausible thought. Not so much design flaws, though, as natural traits of character that suited hunter gatherers but not modern cosmopolitan capitalists. Driver disagrees. |
| 22401 | Actions can be in accordance with virtue, but without actually being virtuous [Foot] |
| Full Idea: Some actions are in accordance with virtue without requiring virtue for their performance, whereas others are both in accordance with virtue and such as to show possession of a virtue. | |
| From: Philippa Foot (Virtues and Vices [1978], p.13) | |
| A reaction: She cites the case of an honest trader, who is honest because of self-interest. She is disentangling Kant from his daft idea that only dutiful (and reluctant) actions are virtuous. Kant was only thinking of 'in accordance' cases. |
| 22398 | Virtues are corrective, to resist temptation or strengthen motivation [Foot] |
| Full Idea: The virtues are corrective, each one standing at a point at which there is some temptation to be resisted or deficiency of motivation to be made good. | |
| From: Philippa Foot (Virtues and Vices [1978], II) | |
| A reaction: A beautifully simple and accurate observation, which I don't remember meeting in Aristotle (...though she cites him as saying that virtues concern what is difficult for us). Justice and charity are given as examples of inadequate motivation. |
| 22403 | Temperance is not a virtue if it results from timidity or excessive puritanism [Foot] |
| Full Idea: In some people temperance is not a virtue, but is rather connected with timidity or with a grudging attitude to the acceptance of good things. | |
| From: Philippa Foot (Virtues and Vices [1978], III) | |
| A reaction: Timidity seems right. The grudging attitude may result from some larger doubts about pleasure, which could be plausible. |
| 22400 | Courage overcomes the fears which should be overcome, and doesn't overvalue personal safety [Foot] |
| Full Idea: The fears that count against a man's courage are those that we think he should overcome, and among them, in a special class, those that reflect the fact that he values his safety too much. | |
| From: Philippa Foot (Virtues and Vices [1978], II) | |
| A reaction: I think that sentence tells us more accurately what courage is than anything in Aristotle's discussion. Ask yourself which of your fears really ought to be overcome, and particularly beware of over-valuing your own safety. But stay safe if you can! |