20 ideas
| 23825 | We seek truth only because it is good [Weil] |
| Full Idea: Truth is sought not because it is truth but because it is good. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.233) | |
| A reaction: A perfect instance of modern platonism. A few weird people seem to enjoy lying. Personally I cannot find enough content in the word 'good' in such claims. |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| Full Idea: Many axioms have been proposed, not on the grounds that they can be directly known, but rather because they produce a desired body of previously recognised results. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.5.1) | |
| A reaction: This is the perennial problem with axioms - whether we start from them, or whether we deduce them after the event. There is nothing wrong with that, just as we might infer the existence of quarks because of their results. |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| Full Idea: Mathematical realism is the doctrine that mathematical objects exist, that much contemporary mathematics is true, and that the existence and truth in question is independent of our constructions, beliefs and proofs. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.12.9) | |
| A reaction: As thus defined, I would call myself a mathematical realist, but everyone must hesitate a little at the word 'exist' and ask, how does it exist? What is it 'made of'? To say that it exists in the way that patterns exist strikes me as very helpful. |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| Full Idea: In maths the primary subject-matter is not mathematical objects but structures in which they are arranged; our constants and quantifiers denote atoms, structureless points, or positions in structures; they have no identity outside a structure or pattern. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.1) | |
| A reaction: This seems to me a very promising idea for the understanding of mathematics. All mathematicians acknowledge that the recognition of patterns is basic to the subject. Even animals recognise patterns. It is natural to invent a language of patterns. |
| 6303 | Sets are positions in patterns [Resnik] |
| Full Idea: On my view, sets are positions in certain patterns. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.5) | |
| A reaction: I have always found the ontology of a 'set' puzzling, because they seem to depend on prior reasons why something is a member of a given set, which cannot always be random. It is hard to explain sets without mentioning properties. |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| Full Idea: An objection is that structuralism fails to explain why certain mathematical patterns are unified wholes while others are not; for instance, some think that an ontological account of mathematics must explain why a triangle is not a 'random' set of points. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.4) | |
| A reaction: This is an indication that we are not just saying that we recognise patterns in nature, but that we also 'see' various underlying characteristics of the patterns. The obvious suggestion is that we see meta-patterns. |
| 6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
| Full Idea: If we take mathematics at its word, there are too many mathematical objects for it to be plausible that they are all mental or physical objects. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.1) | |
| A reaction: No one, of course, has ever claimed that they are, but this is a good starting point for assessing the ontology of mathematics. We are going to need 'rules', which can deduce the multitudinous mathematical objects from a small ontology. |
| 6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
| Full Idea: I argue that mathematical knowledge has its roots in pattern recognition and representation, and that manipulating representations of patterns provides the connection between the mathematical proof and mathematical truth. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], One.1) | |
| A reaction: The suggestion that patterns are at the basis of the ontology of mathematics is the most illuminating thought I have encountered in the area. It immediately opens up the possibility of maths being an entirely empirical subject. |
| 6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
| Full Idea: Of the equivalence relationships which occur between patterns, congruence is the strongest, equivalence the next, and mutual occurrence the weakest. None of these is identity, which would require the same position. | |
| From: Michael D. Resnik (Maths as a Science of Patterns [1997], Three.10.3) | |
| A reaction: This gives some indication of how an account of mathematics as a science of patterns might be built up. Presumably the recognition of these 'degrees of strength' cannot be straightforward observation, but will need an a priori component? |
| 8130 | Qualities of experience are just representational aspects of experience ('Representationalism') [Harman, by Burge] |
| Full Idea: Harman defended what came to be known as 'representationalism' - the view that qualitative aspects of experience are nothing other than representational aspects. | |
| From: report of Gilbert Harman (The Intrinsic Quality of Experience [1990]) by Tyler Burge - Philosophy of Mind: 1950-2000 p.459 | |
| A reaction: Functionalists like Harman have a fairly intractable problem with the qualities of experience, and this may be clutching at straws. What does 'represent' mean? How is the representation achieved? Why that particular quale? |
| 23826 | Beauty, goodness and truth are only achieved by applying full attention [Weil] |
| Full Idea: The authentic and pure values - truth, beauty and goodness - in the activity of a human being are the result of one and same act, a certain application of the full attention to the object. Teaching should only aim to train the attention for such an act. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.234) | |
| A reaction: A distinctive Weil idea, that absorbed 'attention' produces almost mystical results. I am not convinced that a great still life painter (than which there is no higher criterion of attention) achieves contact with goodness thereby. But attention is good! |
| 23833 | The good is a nothingness, and yet real [Weil] |
| Full Idea: The good seems to us a nothingness, since there is no thing that is good. But this nothingness is not unreal. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.278) | |
| A reaction: A neat move in the notoriously difficult platonic problem of specifying the actual nature of the good. |
| 23808 | There are two goods - the absolute good we want, and the reachable opposite of evil [Weil] |
| Full Idea: There are two goods - one which is the opposite of evil, and one which is the absolute. …That which we want is the absolute good. That which is within our reach is the good which is correlated with evil. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.142) | |
| A reaction: Elsewhere she seems in tune with the thought of Nietzsche (whom she despised) that good and evil are false social constructs which are quite different from healthy values. Weil, of course, sees the absolute as transcendent. |
| 23831 | The essence of power is illusory prestige [Weil] |
| Full Idea: Prestige, which is an illusion, is the very essence of power. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.255) | |
| A reaction: It is hard to maintain illusory prestige if there is no actual power behind it. |
| 23830 | A group is only dangerous if it endorses an abstract entity [Weil] |
| Full Idea: Any group which has not secreted an abstract entity will probably not be dangerous. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.255) | |
| A reaction: Written in the 1930s, the era of many political -isms. No group can be united if it lacks a clear label, and a few simple slogans. |
| 23809 | Our only social duty is to try to limit evil [Weil] |
| Full Idea: Our only duty with regard to the social is to try to limit the evil of it. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.143) | |
| A reaction: This is one of Weil's occasional remarks that have an anarchist flavour. I increasingly sympathise with this less idealistic view as I get older. |
| 23807 | The collective is the one and only object of false idolatry [Weil] |
| Full Idea: The Great Beast is the great object of idolatry, the only ersatz of God. …Only one thing can be taken as an end, for in relation to the human person it possesses a kind of transcendence: this is the collective. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.140) | |
| A reaction: [Society as the Great Beast is in Republic Bk 6] She is referring to both fascist and communist states. Weil seems to be a left-wing liberal, with a tendency towards anarchism, because her priority is the individual, not the group. |
| 23810 | Charity is the only love, and you can feel that for a country (a place with traditions), but not a nation [Weil] |
| Full Idea: We must not have any other love than charity. A nation cannot be an object of charity. But a country can be one - as an environment bearing traditions which are eternal. Every country can be that. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.146) | |
| A reaction: This definitely strikes a chord with me. I am English and British to the core, but don't feel any love at all for the current central institutions of the state. But I love my island, and its history, and its culture, and its style. |
| 23811 | If effort is from necessity rather than for a good, it is slavery [Weil] |
| Full Idea: To strive from necessity and not for some good - ...that is always slavery. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.180) | |
| A reaction: It is usual to see the possibility of anarchism as the starting point for political thinking, but I think for Weil the state of slavery has that role. |
| 23765 | The soul is the intrinsic value of a human [Weil] |
| Full Idea: The soul is the human being considered as having a value in itself. | |
| From: Simone Weil (Gravity and Grace (9 extracts) [1943], p.294) | |
| A reaction: [from 'Gravity and Grace'] A rather modern view, treating the soul as an abstraction, rather than as an entity. |