22 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. |
| 21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
| Full Idea: The ban on 'impredicative' definitions says you can't define a class in terms of a totality to which that class must be seen as belonging. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1) | |
| A reaction: So that would be defining 'citizen' in terms of the community to which the citizen belongs? If you are asked to define 'community' and 'citizen' together, where do you start? But how else can it be done? Russell's Reducibility aimed to block this. |
| 21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
| Full Idea: The Axiom of Reducibility avoids impredicativity, by asserting that for any predicate of given arguments defined by quantifying over higher-order functions or classes, there is another co-extensive but predicative function of the same type of arguments. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1) | |
| A reaction: Eventually the axiom seemed too arbitrary, and was dropped. Linsky's book explores it. |
| 21727 | Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B] |
| Full Idea: The theory of definite descriptions may eliminate apparent commitment to such entities as the present King of France, but certainly not to the present Queen of England. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.3) |
| 21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
| Full Idea: With the principle of extensionality anything true of one propositional functions will be true of every coextensive one. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.3) |
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
| 21723 | The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B] |
| Full Idea: The problem for logicism was to find definitions of the primitive notions of Peano's theory, number, successor and 0, in terms of logical notions, so that the postulates could then be derived by logic alone. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7) | |
| A reaction: Both Frege and Russell defined numbers as equivalence classes. Successor is easily defined (in various ways) in set theory. An impossible set can exemplify zero. The trouble for logicism is this all relies on sets. |
| 21721 | Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B] |
| Full Idea: The higher types are needed for intensional phenomena, cases where the same class is picked out by distinct propositional functions. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.4) | |
| A reaction: I take it that in this way 'x is renate' can be distinguished from 'x is cordate', a task nowadays performed by possible worlds. |
| 21703 | Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B] |
| Full Idea: The types is 'ramified' because there are further differences between the type of a function defined in terms of a quantifier ranging over other functions and the type of those other functions, despite the functions applying to the same simple type. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1) | |
| A reaction: Not sure I understand this, but it evidently created difficulties for dealing with actual mathematics, and Ramsey showed how you could manage without the ramifications. |
| 21714 | The ramified theory subdivides each type, according to the range of the variables [Linsky,B] |
| Full Idea: The original ramified theory of types ...furthern subdivides each of the types of the 'simple' theory according to the range of the bound variables used in the definition of each propositional function. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6) | |
| A reaction: For a non-intiate like me it certainly sounds disappointing that such a bold and neat theory because a tangle of complications. Ramsey and Russell in the 1920s seem to have dropped the ramifications. |
| 21713 | Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B] |
| Full Idea: It is often thought that Logicism was a failure, because after Frege's contradiction, Russell required obviously nonlogical principles, in order to develop mathematics. The axioms of Reducibility, Infinity and Choice are cited. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6) | |
| A reaction: Infinity and Choice remain as axioms of the standard ZFC system of set theory, which is why set theory is always assumed to be 'up to its neck' in ontological commitments. Linsky argues that Russell saw ontology in logic. |
| 21715 | For those who abandon logicism, standard set theory is a rival option [Linsky,B] |
| Full Idea: ZF set theory is seen as a rival to logicism as a foundational scheme. Set theory is for those who have given up the project of reducing mathematics to logic. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.1) | |
| A reaction: Presumably there are other rivals. Set theory has lots of ontological commitments. One could start at the other end, and investigate the basic ontological commitments of arithmetic. I have no idea what those might be. |
| 21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
| Full Idea: Rather than directly constructing properties as sets of objects and proving neat facts about properties by proxy, we can assert biconditionals, such as that an object has a property if and only if it is in a certain set. | |
| From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.6) | |
| A reaction: Linsky is describing Russell's method of logical construction. I'm not clear what is gained by this move, but at least it is a variant of the usual irritating expression of properties as sets of objects. |
| 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. |
| 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). |