19 ideas
| 19115 | You can 'rebut' an argument's conclusion, or 'undercut' its premises [Antonelli] |
| Full Idea: A 'rebut' of an argument establishes that its conclusion is not the case. An 'undercut' of the argument shows that the premises do not support that conclusion. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 3.2) |
| 19119 | We infer that other objects are like some exceptional object, if they share some of its properties [Antonelli] |
| Full Idea: The exceptional status of an object with respect to some default is more likely to spread to other objects if they share properties with that object that may play a role in explaining the exceptional status. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 4) | |
| A reaction: This is an example of the sort of rational behaviour we exhibit, and which a 'real life' logic would somehow need to capture. I would suggest the essentialist logic designed by Kit Fine as a first port of call. |
| 19111 | Reasoning may be defeated by new premises, or by finding out more about the given ones [Antonelli] |
| Full Idea: Most defeasible reasoning is externally dynamic, affected by the addition of further premises. But there is also an internal (or 'diachronic') dynamic, when further analysis reveals more about the given premises. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 1) |
| 19114 | Should we accept Floating Conclusions, derived from two arguments in conflict? [Antonelli] |
| Full Idea: There is much discussion of whether Floating Conclusions should be derived, given that they were derived from two arguments which conflict with one another. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 2.3) |
| 19113 | Weakest Link Principle: prefer the argument whose weakest link is the stronger [Antonelli] |
| Full Idea: In the Weakest Link Principle, an argument is preferred to another conflicting argument if its weakest defeasible link is stronger than the weakest defeasible link in the conflicting argument. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 2.1) | |
| A reaction: [He cites John Pollock 1991] This sounds like the elementary principle applied when choosing a rope by which to hang a large weight above your head. It gets non-monotonic logic off the ground - if you know how to evaluate 'weakest'. |
| 19116 | Non-monotonic core: Reflexivity, Cut, Cautious Monotonicity, Left Logical Equivalence, Right Weakening [Antonelli] |
| Full Idea: Conservative core of non-monotonic logic:Reflexivity (p proves p), Cut (if p proves q, it proves their joint implications), Cautious Monotonicity, Left Logical Equivalence (equivalences have same consequences), Right Weakening (non-m preserves classical). | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 3.5.1) | |
| A reaction: [Highly compressed, and without symbols] |
| 19117 | We can rank a formula by the level of surprise if it were to hold [Antonelli] |
| Full Idea: We can think of an 'ordinal ranking function' κ([φ)] as the level of surprise we would face were φ to hold, up to maximal surprise. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 3.5.2) | |
| A reaction: This suggests that Bayes's Theorem might be relevant to non-monotonic logic. This suggests that registering surprise would need to be an important feature of robot behaviour. |
| 19118 | People don't actually use classical logic, but may actually use non-monotonic logic [Antonelli] |
| Full Idea: Test subjects seem to perform very poorly in various reasoning tests (Wason Selection, Suppression Task), suggesting logic has a subordinate role, but this may be using classical logic, where non-monotonic logics would be more appropriate. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 4) | |
| A reaction: Fred Sommers presents his Term Logic (based on Aristotle) as closer to how people actually reason. It is certainly crazy to infer that most people's everyday reasoning is irrational. Induction is highly rational; it's just not deductive. |
| 19110 | In classical logic the relation |= has Monotony built into its definition [Antonelli] |
| Full Idea: In classical logic, Monotony follows immediately from the nature of the relation |=, for Γ |= φ holds precisely when φ is true on every interpretation on which all sentences in Γ are true. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 1) | |
| A reaction: That is, semantic consequence (|=) is defined in terms of a sentence (φ) always being true if some other bunch of sentences (Γ) are true. Hence the addition of further sentences to Γ will make no difference - which is Monotony. |
| 19112 | Cautious Monotony ignores proved additions; Rational Monotony fails if the addition's negation is proved [Antonelli] |
| Full Idea: Basic Monotony: something stays proved if further premises are added. Cautious Monotony: the addition of something which has been proved makes no difference. Rational Monotony: it stays proved as long as the addition's negation hasn't been proved. | |
| From: G. Aldo Antonelli (Non-Monotonic Logic [2014], 1) | |
| A reaction: [A compressed and non-symbolic summary] |
| 6968 | Some people think there are ethical facts, but of a 'queer' sort [Ayer] |
| Full Idea: If someone wishes to say that ethical statements are statements of fact, only it is a queer sort of fact, he is welcome to do so. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.233) | |
| A reaction: The word 'queer' was picked up by Mackie and developed into his error theory, that moral facts are a misunderstanding. Personally I think that moral facts might be teleological facts, but that is rather hard to demonstrate. |
| 6972 | A right attitude is just an attitude one is prepared to stand by [Ayer] |
| Full Idea: Asking whether the attitude that one has adopted is the right attitude comes down to asking whether one is prepared to stand by it. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.244) | |
| A reaction: I would have thought that someone who persisted in being ruthlessly selfish might nevertheless distinguish their behaviour from the grudging concession that the 'right' thing to do might be quite different. |
| 6973 | Moral theories are all meta-ethical, and are neutral as regards actual conduct [Ayer] |
| Full Idea: All moral theories, intuitionist, naturalistic, objectivist, emotive, and the rest, in so far as they are philosophical theories, are neutral as regards actual conduct; they belong to the field of meta-ethics, not ethics proper. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949]) | |
| A reaction: Interestingly, Ayer doesn't seem willing to accept 'ethics proper' as being 'philosophical'. Given the modern rise of applied ethics, it seems suprising to say that even normative ethics is not philosophical. Utilitarianism seems not to be philosophical. |
| 6974 | Moral judgements cannot be the logical consequence of a moral philosophy [Ayer] |
| Full Idea: A moral philosopher will have his moral standards and will sometimes make moral judgements, but these moral judgements cannot be a logical consequence of his philosophy. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.247) | |
| A reaction: I take this to be an assertion of the is-ought distinction. Personally this strikes me as totally false. Ayer needs to think more deeply about moral philosophy! |
| 6971 | I would describe intuitions of good as feelings of approval [Ayer] |
| Full Idea: I suspect that the experiences which some philosophers want to describe as intuitions, or a quasi-sensory apprehensions, of good are not significantly different from those that I want to describe as feelings of approval. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.239) | |
| A reaction: This is the standard ground for rejecting intuitionism, along with the point that even if intuitions are not just feelings of approval, it seems impossible to tell the difference. |
| 6969 | Approval of historical or fictional murders gives us leave to imitate them [Ayer] |
| Full Idea: In saying that Brutus or Raskolnikov acted rightly, I am giving myself and others leave to imitate them should similar circumstances arise. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.237) | |
| A reaction: This seems to be a reply to the Frege-Geach Problem, of why we have emotional attitudes to crimes that mean nothing to us. Such crimes, however, involve our virtues, and don't depend on awaiting 'similar circumstances'. |
| 6970 | Moral judgements are not expressions, but are elements in a behaviour pattern [Ayer] |
| Full Idea: To say, as I once did, that moral judgements are merely expressive of certain feelings is an oversimplification; ..moral attitudes consist in certain patterns of behaviour, and the expression of a judgement is an element in the pattern. | |
| From: A.J. Ayer (On the analysis of moral judgements [1949], p.238) | |
| A reaction: This seems to switch from emotivism to what Frank Jackson calls 'moral functionalism', where morality is what gets us from certain emotional responses to willed actions. This strikes me, like most functional explanations, as wrong. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |