22 ideas
| 9470 | Modal logic is not an extensional language [Parsons,C] |
| Full Idea: Modal logic is not an extensional language. | |
| From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.159 n8) | |
| A reaction: [I record this for investigation. Possible worlds seem to contain objects] |
| 13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
| Full Idea: The difficulties historically attributed to the axiom of choice are probably better ascribed to the law of excluded middle. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2) | |
| A reaction: The law of excluded middle was a target for the intuitionists, so presumably the debate went off in that direction. |
| 9469 | Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C] |
| Full Idea: I argue (against Quine) that the existential quantifier substitutionally interpreted has a genuine claim to express a concept of existence, which may give the best account of linguistic abstract entities such as propositions, attributes, and classes. | |
| From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156) | |
| A reaction: Intuitively I have my doubts about this, since the whole thing sounds like a verbal and conventional game, rather than anything with a proper ontology. Ruth Marcus and Quine disagree over this one. |
| 9468 | On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C] |
| Full Idea: For the substitutional interpretation of quantifiers, a sentence of the form '(∃x) Fx' is true iff there is some closed term 't' of the language such that 'Ft' is true. For the objectual interpretation some object x must exist such that Fx is true. | |
| From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156) | |
| A reaction: How could you decide if it was true for 't' if you didn't know what object 't' referred to? |
| 17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
| Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal. | |
| From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3 | |
| A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'. |
| 18201 | General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C] |
| Full Idea: The existence of very general principles in mathematics are universally regarded as obvious, where on an empiricist view one would expect them to be bold hypotheses, about which a prudent scientist would maintain reserve. | |
| From: Charles Parsons (Mathematical Intuition [1980], p.152), quoted by Penelope Maddy - Naturalism in Mathematics | |
| A reaction: This is mainly aimed at Quine's and Putnam's indispensability (to science) argument about mathematics. |
| 13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
| Full Idea: The finitist may have no conception of function, because functions are transfinite objects. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §4) | |
| A reaction: He is offering a view of Tait's. Above my pay scale, but it sounds like a powerful objection to the finitist view. Maybe there is a finitist account of functions that could be given? |
| 13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
| Full Idea: If experience shows that some aspect of the physical world fails to instantiate a certain mathematical structure, one will modify the theory by sustituting a different structure, while the original structure doesn't lose its status as part of mathematics. | |
| From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2) | |
| A reaction: This seems to be a beautifully simple and powerful objection to the Quinean idea that mathematics somehow only gets its authority from physics. It looked like a daft view to begin with, of course. |
| 19525 | If the only aim is to believe truths, that justifies recklessly believing what is unsupported (if it is right) [Conee/Feldman] |
| Full Idea: If it is intellectually required that one try to believe all and only truths (as Chisholm says), ...then it is possible to believe some unsubstantiated proposition in a reckless endeavour to believe a truth, and happen to be right. | |
| From: E Conee / R Feldman (Evidentialism [1985], 'Justification') | |
| A reaction: This implies doxastic voluntarism. Sorry! I meant, this implies that we can control what we believe, when actually we believe what impinges on us as facts. |
| 19524 | We don't have the capacity to know all the logical consequences of our beliefs [Conee/Feldman] |
| Full Idea: Our limited cognitive capacities lead Goldman to deny a principle instructing people to believe all the logical consequences of their beliefs, since they are unable to have the infinite number of beliefs that following such a principle would require. | |
| From: E Conee / R Feldman (Evidentialism [1985], 'Doxastic') | |
| A reaction: This doesn't sound like much of an objection to epistemic closure, which I took to be the claim that you know the 'known' entailments of your knowledge. |
| 19518 | Evidentialism says justifications supervene on the available evidence [Conee/Feldman] |
| Full Idea: Fundamentally Evidentialism is a supervenience thesis, according to which facts about whether or not a person is justified in believing a proposition supervene on facts describing the evidence the person has. | |
| From: E Conee / R Feldman (Introduction to 'Evidentialism' [2004], p.1) | |
| A reaction: If facts 'describe', does that make them linguistic? That's not how I use 'facts'. A statement of a fact is not the same as the fact. An ugly fact can be beautifully expressed. I am, however, in favour of evidence. |
| 19519 | Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman] |
| Full Idea: In decision theory, there is a view according to which the rational basis for all decisions is evidential. This kind of decision theory is typically contrasted with causal decision theory. | |
| From: E Conee / R Feldman (Introduction to 'Evidentialism' [2004], p.3) | |
| A reaction: Your Kantian presumably likes rational reflection on evidence, and your modern reductive scientist prefers causality (which doesn't really sound very rational). |
| 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. |