27 ideas
| 20455 | Philosophy really got started as the rival mode of discourse to tragedy [Critchley] |
| Full Idea: The pre-Socratics are interesting, but philosophy really begins in drama; it's a competitive discourse to tragedy. Which is why Plato's 'Republic' excludes the poets: they're the competition; gotta get rid of them. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 6) | |
| A reaction: That's an interesting and novel perspective. So what was the 'discourse' of tragedy saying, and why did that provoke the new rival? Was it too fatalistic? |
| 20446 | Philosophy begins in disappointment, notably in religion and politics [Critchley] |
| Full Idea: I claim that philosophy begins in disappointment, and there are two forms of disappointment that interest me: religious and political disappointment | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 2) | |
| A reaction: You are only disappointed by reality if you expected something better. To be disappointed by the failures of religion strikes me as rather old-fashioned, which Critchley sort of admits. Given the size and tumult of modern states, politics isn't promising. |
| 20449 | Science gives us an excessively theoretical view of life [Critchley] |
| Full Idea: One of the problems with the scientific worldview is that it leads human beings to have an overwhelmingly theoretical relationship to the world. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 2) | |
| A reaction: Critchley is defending phenomenology, but this also supports its cousin, existentialism. I keep meeting bright elderly men who have immersed themselves in the study of science, and they seem very remote from the humanist culture I love. |
| 20448 | Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley] |
| Full Idea: Phenomenology is a philosophical method that tries to uncover the pre-theoretical layer of human experience and redescribe it. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 2) | |
| A reaction: I would be delighted if someone could tell me what this means in practice. I have the impression of lots of talk about phenomenology, but not much doing of it. Clearly I must enquire further. |
| 10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
| Full Idea: The main objection to the axiom of choice was that it had to be given by some law or definition, but since sets are arbitrary this seems irrelevant. Formalists consider it meaningless, but set-theorists consider it as true, and practically obvious. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3) |
| 10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
| Full Idea: One can distinguish at least two quite different senses of logic: as an instrument of demonstration, and perhaps as an instrument for the characterization of structures. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
| A reaction: This is trying to capture the proof-theory and semantic aspects, but merely 'characterizing' something sounds like a rather feeble aspiration for the semantic side of things. Isn't it to do with truth, rather than just rule-following? |
| 10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
| Full Idea: Elementary logic cannot characterize the usual mathematical structures, but seems to be distinguished by its completeness. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
| Full Idea: The expressive power of second-order logic is too great to admit a proof procedure, but is adequate to express set-theoretical statements, and open questions such as the continuum hypothesis or the existence of big cardinals are easily stated. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
| Full Idea: In sentential logic there is a simple proof that all truth functions, of any number of arguments, are definable from (say) 'not' and 'and'. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §0) | |
| A reaction: The point of 'say' is that it can be got down to two connectives, and these are just the usual preferred pair. |
| 10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
| Full Idea: The symbols ∀ and ∃ may, to start with, be regarded as extrapolations of the truth functional connectives ∧ ('and') and ∨ ('or') to infinite domains. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §5) |
| 10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
| Full Idea: One might add to one's logic an 'uncountable quantifier', or a 'Chang quantifier', or a 'two-argument quantifier', or 'Shelah's quantifier', or 'branching quantifiers'. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3) | |
| A reaction: [compressed - just listed for reference, if you collect quantifiers, like collecting butterflies] |
| 10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
| Full Idea: The Löwenheim-Skolem property seems to be undesirable, in that it states a limitation concerning the distinctions the logic is capable of making, such as saying there are uncountably many reals ('Skolem's Paradox'). | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
| Full Idea: Skolem deduced from the Löwenheim-Skolem theorem that 'the absolutist conceptions of Cantor's theory' are 'illusory'. I think it is clear that this conclusion would not follow even if elementary logic were in some sense the true logic, as Skolem assumed. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §7) | |
| A reaction: [Tharp cites Skolem 1962 p.47] Kit Fine refers to accepters of this scepticism about the arithmetic of infinities as 'Skolemites'. |
| 10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
| Full Idea: Soundness would seem to be an essential requirement of a proof procedure, since there is little point in proving formulas which may turn out to be false under some interpretation. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10763 | Completeness and compactness together give axiomatizability [Tharp] |
| Full Idea: Putting completeness and compactness together, one has axiomatizability. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §1) |
| 10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
| Full Idea: In general, if completeness fails there is no algorithm to list the valid formulas. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
| A reaction: I.e. the theory is not effectively enumerable. |
| 10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
| Full Idea: It is strange that compactness is often ignored in discussions of philosophy of logic, since the most important theories have infinitely many axioms. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
| A reaction: An example of infinite axioms is the induction schema in first-order Peano Arithmetic. |
| 10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
| Full Idea: The compactness condition seems to state some weakness of the logic (as if it were futile to add infinitely many hypotheses). To look at it another way, formalizations of (say) arithmetic will admit of non-standard models. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
| Full Idea: A complete logic has an effective enumeration of the valid formulas. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
| 10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
| Full Idea: Despite completeness, the mere existence of an effective enumeration of the valid formulas will not, by itself, provide knowledge. For example, one might be able to prove that there is an effective enumeration, without being able to specify one. | |
| From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
| A reaction: The point is that completeness is supposed to ensure knowledge (of what is valid but unprovable), and completeness entails effective enumerability, but more than the latter is needed to do the key job. |
| 20454 | Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley] |
| Full Idea: Wallace Stevens is the greatest philosophical poet of the twentieth century in the English language - full stop - in my humble opinion. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 6) | |
| A reaction: I include this because I tend to agree, and love Stevens. Hear recordings of him reading. I once mentioned Stevens in a conversation with Ted Hughes, and he just shrugged and said Stevens 'wasn't much of a poet'. Wrong. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
| 20456 | Interesting art is always organised around ethical demands [Critchley] |
| Full Idea: I don't think that art can be unethical. I think that interesting art is always ethical. It is organised around ethical demands. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 8) | |
| A reaction: It is a struggle to make this fit instrumental music. Critchley likes punk rock, so he might not see the problem. How to compare Bachian, Mozart, Beethovenian and Debussyian ethics? Not impossible. |
| 20447 | The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley] |
| Full Idea: The issue is not so much justification as motivation, that in virtue of which the self can be motivated to act on some conception of the good. ...How does a self bind itself to whatever it determines as its good? | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 2) | |
| A reaction: That is a bold and interesting idea about the starting point for ethics. It is always a problem for Aristotle, that he can offer no motivation for the quest for virtue. Contractarians start from existing motivations, but that isn't impressive. |
| 20452 | Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley] |
| Full Idea: Anarchism in the 1960s was libertarian and organised around issues of sexual liberation. That moment has passed. People are and should be organising around responsibility. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 3) | |
| A reaction: So there are two types of anarchism, focused on freedom or on responsibility. An organisation like Greenpeace might represent the latter. |
| 20450 | The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley] |
| Full Idea: I begin with the ontological premise that the state is a limitation on human existence. I am against the state, law, bureaucracy, and capital. I see anarchism as the only desirable way of organising, politically. ...Its political form is federalist. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 3) | |
| A reaction: Hm. Some sympathy, but caution. All systems, even federalist anarchism, are limitations on our lives, so which limitations do we prefer? The law aspires to a calm egalitarian neutrality, which seems promising to me. |
| 20451 | Belief that humans are wicked leads to authoritarian politics [Critchley] |
| Full Idea: If you think human beings are wicked, you turn to an authoritarian conception of politics, the Hobbesian-Machiavellian-Straussian lie. | |
| From: Simon Critchley (Impossible Objects: interviews [2012], 3) | |
| A reaction: Right-wingers also tend to believe in free will, so they can blame and punish. Good people are more inspired by a great leader than bad people are? (Later, Critchley says authoritarians usually believe in original sin). |