12 ideas
| 8988 | Two marxist ideas have dominated in France: base and superstructure, and ideology [Scruton] |
| Full Idea: Two tenets of classical Marxism have played a decisive role in French culture during our century: the theory of base and superstructure, and the concept of ideology. | |
| From: Roger Scruton (Upon Nothing: Swansea lecture [1993], p.7) | |
| A reaction: It is striking how marxist attitudes permeate even the least political of French philosophical writings, to the point where you wonder if they are even aware of it any more. They largely have marxism and reaction, with liberalism passing them by. |
| 8987 | On the surface of deconstructive writing, technicalities float and then drift away [Scruton] |
| Full Idea: Deconstructive writing has a peculiar surface, in which technicalities float on the syntactic flood and vanish unexplained downstream. | |
| From: Roger Scruton (Upon Nothing: Swansea lecture [1993], p.2) | |
| A reaction: Not even the greatest fans of deconstruction can deny this, and Derrida more or less admits it. At first glance it certainly looks more like the ancient idea of rhetoric than it looks anything like dialectic. |
| 8992 | Deconstruction is the last spasm of romanticism, now become hopeless and destructive [Scruton] |
| Full Idea: The subversive patterns of thought in deconstruction are a last spasm of romanticism: one that has given up hope of an otherworldly redemption, and set out instead to destroy the illusions in which other still believe, the source of their power. | |
| From: Roger Scruton (Upon Nothing: Swansea lecture [1993], p.29) | |
| A reaction: It seems to be strongly connected with the failure of marxism in Europe, but it also seems to inherit all the values of the Dada movement. |
| 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. |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| Full Idea: In present-day mathematics, it is set theory that serves as the background theory in which other branches of mathematics are developed. | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §1) | |
| A reaction: [He cites Bourbaki as an authority for this] See Benacerraf for a famous difficulty here, when you actually try to derive an ontology from the mathematicians' working practices. |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| Full Idea: On the structuralist interpretation, theorems of analysis concerning the real numbers R are about all complete ordered fields. So R, which appears to be the name of a specific structure, is taken to be a variable ranging over structures. | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §1) | |
| A reaction: Since I am beginning to think that nearly all linguistic expressions should be understood as variables, I find this very appealing, even if Burgess hates it. Terms slide and drift, and are vague, between variable and determinate reference. |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| Full Idea: One might meet the 'Van Inwagen Problem' by saying that the intrinsic properties of the object playing the role of 2 will differ from one model to another, so that no statement about the intrinsic properties of 'the' real numbers will make sense. | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §5) | |
| A reaction: There seems to be a potential confusion among opponents of structuralism between relations at the level of actual mathematical operations, and generalisations about relations, which are captured in the word 'patterns'. Call them 'meta-relations'? |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| Full Idea: It is to set theory that one turns for the very definition of 'structure', ...and this creates a problem of circularity if we try to impose a structuralist interpretation on set theory. | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §1) | |
| A reaction: This seems like a nice difficulty, especially if, like Shapiro, you wade in and try to give a formal account of structures and patterns. Resnik is more circumspect and vague. |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| Full Idea: Abstract algebra, such as group theory, is not concerned with the features common to all models of the axioms, but rather with the relationships among different models of those axioms (especially homomorphic relation functions). | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §1) | |
| A reaction: It doesn't seem to follow that structuralism can't be about the relations (or patterns) found when abstracting away and overviewing all the models. One can study family relations, or one can study kinship in general. |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| Full Idea: The 'Van Inwagen Problem' for structuralism is of explaining how a mathematical relation (such as set membership, or the ratios of an ellipse) can fit into one of the three scholastics types of relations: are they internal, external, or intrinsic? | |
| From: John P. Burgess (Review of Chihara 'Struct. Accnt of Maths' [2005], §5) | |
| A reaction: The difficulty is that mathematical objects seem to need intrinsic properties to get any of these three versions off the ground (which was Russell's complaint against structures). |
| 8989 | The benefits of social freedom outweigh the loneliness, doubt and alienation it brings [Scruton] |
| Full Idea: While the goods of freedom, such as rights, property, education and prosperity, can be obtained only at a price - the price of loneliness, doubt and alienation - it is a price worth paying. | |
| From: Roger Scruton (Upon Nothing: Swansea lecture [1993]) | |
| A reaction: A striking way for a liberal-conservative to confront the accusations of the marxists - by conceding a lot of their criticisms, but living with them. I still don't see why we shouldn't aspire to have both. |
| 8990 | So-called 'liberation' is the enemy of freedom, destroying the very structures that are needed [Scruton] |
| Full Idea: The promise of 'liberation' has always been the enemy of freedom - in 1968 as much as in 1789 and 1917. Its first desire, and its only policy, is to destroy the institutions and traditions (the 'structures') which make freedom durable. | |
| From: Roger Scruton (Upon Nothing: Swansea lecture [1993], p.9) | |
| A reaction: There is a dilemma, though, if your legal system is corrupt. Far too many political attitudes are formed because of high-profile spectacular cases, instead of looking at daily routines. The latter might make a corrupt legal system still worth saving. |