14 ideas
| 18085 | Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy] |
| Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely. |
| 18084 | When successive variable values approach a fixed value, that is its 'limit' [Cauchy] |
| Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction? |
| 15391 | A substance is, roughly, a basic being or subject at the foundation of reality [Robb] |
| Full Idea: A substance is a basic being, something at reality's foundation. What exactly this means is a matter of some controversy. Some philosophers think of substance as an ultimate subject, something that has properties but isn't a property. | |
| From: David Robb (Substance [2009], 'Intro') | |
| A reaction: This seems to capture the place of 'substance' in contemporary metaphysics. I think of 'substance' as a placeholder for some threatened account, even in Aristotle. |
| 15392 | If an object survives the loss of a part, complex objects can have autonomy over their parts [Robb] |
| Full Idea: Sometimes a whole can survive a loss of parts: the chair would still exist if it lost one of its legs. This seems to give complex objects a sort of autonomy over their parts. | |
| From: David Robb (Substance [2009], 'Ident') | |
| A reaction: There is then a puzzle as to how much loss of parts the whole can survive, and why. The loss of a major part could be devastating, so why do all wholes not exhibit this relation to all their parts? I demand rules, now! |
| 7096 | We may still admire a person's character even if the traits are involuntary [Statman] |
| Full Idea: If we focus on the evaluation of character traits, voluntariness becomes less important. We would not withdraw our admiration for a person only because we found out that his or her being such a person was not a result of voluntary choice. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §3) | |
| A reaction: The need for voluntariness does not disappear. I would not admire the only generous deed you had ever performed if it was the result of hypnotism. I might admire the hypnotist. Nevertheless, I regard this idea as a crucial truth in moral theory. |
| 7098 | There is a new sort of moral scepticism, about the possibility of moral theories [Statman] |
| Full Idea: Since the 1980s, ethics has witnessed a new sort of moral scepticism, this time about the possibility of moral theories. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §4) | |
| A reaction: He cites McDowell, Williams, Nussbaum and Baier as the culprits. 'Particularism' (every situation is different, so there can't be rules) seems an essential part of virtue theory, but total absence of principles sounds to me like moral drift. |
| 7099 | With a broad concept of flourishing, it might be possible without the virtues [Statman] |
| Full Idea: In a rich conception of human flourishing, both individuals and societies seem to be able to flourish without the virtues. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §5) | |
| A reaction: I can see Aristotle clutching his head in despair at this thought. It might look like flourishing, but it couldn't be the real thing. It is Aristotle's fault, though, for including external goods. Money and pleasure offer a kind of flourishing. |
| 7100 | Virtue theory isn't a genuine ethical theory, because it doesn't have universal application [Statman] |
| Full Idea: It can be claimed that universality is a necessary property of any ethical theory and therefore virtue theory, which fails in this respect, is not a theory, and hence poses no alternative to genuine ethical theories. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §5) | |
| A reaction: Replies: a) totally universal morality is an idle dream (part of the 'Enlightenment Project' to prove everything) and we must settle for something more relative; b) virtues aren't totally universal, but they are truths about humanity. I prefer b). |
| 7102 | Promises create moral duties that have nothing to do with character [Statman] |
| Full Idea: That duties are created irrespective of facts about character is obvious from the case of promises, which bind their makers irrespective of their motives or personality. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §5) | |
| A reaction: Just occasionally a promise can be broken, by a sensitive and wise person. I promise to give your son some money; I then discover he is a drug dealer. Promises arise out of character, and cannot be made by robots. |
| 7095 | Moral education is better by concrete example than abstract principle [Statman] |
| Full Idea: According to virtue theory, education through moral exemplars is more effective than education focused on principles and obligations, because it is far more concrete. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §3) | |
| A reaction: Aristotle's view is that virtues must be developed from childhood, when principles don't mean much. The problem is that young people may witness highly virtuous behaviour in their exemplars, but totally fail to appreciate it without mention of principles. |
| 7094 | Friends express friendship even when no utility is involved [Statman] |
| Full Idea: Being a good friend means acting in ways that express the friendship even when those ways do not promote overall utility. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §3) | |
| A reaction: This implies that friendship is a true virtue of character, rather than having friends just being an 'external' good. Having friends is good; being friends is a virtue. There are duties of friendship. |
| 7093 | Behaviour may be disgusting or inhumane, but violate no duty [Statman] |
| Full Idea: It is surely possible, and indeed often the case, that people who violate no duty nevertheless behave in an inhumane and a disgusting manner. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §1) | |
| A reaction: This seems right, though it is easier to be disgusting than to be inhumane if no duty is to be violated. Social duties may not require a high degree of humanity, pure Kantian duties might. |
| 7104 | The ancients recognised imperfect duties, but we have added perfect duties like justice [Statman] |
| Full Idea: The advantage of modern thinkers over the ancient virtue ethicists is that in addition to imperfect duties (i.e. virtues) they also recognise the existence of perfect duties, or duties of justice, which are essential for the existence of society. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §7) | |
| A reaction: Even the Greeks had laws (e.g. Idea 422), so they understood that a society needs rules, but many laws don't seem to be moral rules (e.g. car parking), and the Greeks thought morality was about human excellence, not avoiding traffic jams. |
| 7103 | Abortion issues focus on the mother's right over her body, and the status of the foetus [Statman] |
| Full Idea: Most of the debate on abortion focuses on two issues, the mother's assumed right over her body, and the status of the foetus. | |
| From: Daniel Statman (Introduction to Virtue Ethics [1997], §6) | |
| A reaction: Personally I think society as a whole might have a say (if, perhaps, we are over- or under-populated, or we have a widely accepted state religion, or we are just very shocked). Mother's have virtues and duties as well as rights. |