Combining Texts

All the ideas for 'fragments/reports', 'The Sovereignty of Good' and 'The Structure of Paradoxes of Self-Reference'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
An unexamined life can be virtuous [Murdoch]
     Full Idea: An unexamined life can be virtuous.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: Nice. A firm rejection of the intellectualist view of virtue, to which most Greeks subscribed. Jesus would have liked this one.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy must keep returning to the beginning [Murdoch]
     Full Idea: Philosophy has in a sense to keep trying to return to the beginning.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: This is a sign that philosophy is not like other subjects, and indicates that although the puzzles are not solved, they won't go away. Also that, unlike most other subjects, the pre-suppositions are not part of the subject.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy moves continually between elaborate theories and the obvious facts [Murdoch]
     Full Idea: There is a two-way movement in philosophy, a movement towards the building of elaborate theories, and a move back again towards the consideration of simple and obvious facts.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: Nice. Without the theories there is no philosophy, but without continual reference back to the obvious facts the theories are worthless.
5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
     Full Idea: A natural principle is the same kind of paradox will have the same kind of solution. Standardly Ramsey's first group are solved by denying the existence of some totality, and the second group are less clear. But denial of the groups sink both.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §5)
     A reaction: [compressed] This sums up the argument of Priest's paper, which is that it is Ramsey's division into two kinds (see Idea 13334) which is preventing us from getting to grips with the paradoxes. Priest, notoriously, just lives with them.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
     Full Idea: König: there are indefinable ordinals, and the least indefinable ordinal has just been defined in that very phrase. (Recall that something is definable iff there is a (non-indexical) noun-phrase that refers to it).
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3)
     A reaction: Priest makes great subsequent use of this one, but it feels like a card trick. 'Everything indefinable has now been defined' (by the subject of this sentence)? König, of course, does manage to pick out one particular object.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
     Full Idea: Berry: if we take 'x is a natural number definable in less than 19 words', we can generate a number which is and is not one of these numbers.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3)
     A reaction: [not enough space to spell this one out in full]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
     Full Idea: Richard: φ(x) is 'x is a definable real number between 0 and 1' and ψ(x) is 'x is definable'. We can define a real by diagonalization so that it is not in x. It is and isn't in the set of reals.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3)
     A reaction: [this isn't fully clear here because it is compressed]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
     Full Idea: Burali-Forti: φ(x) is 'x is an ordinal', and so w is the set of all ordinals, On; δ(x) is the least ordinal greater than every member of x (abbreviation: log(x)). The contradiction is that log(On)∈On and log(On)∉On.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §2)
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
     Full Idea: Mirimanoff: φ(x) is 'x is well founded', so that w is the cumulative hierarchy of sets, V; &delta(x) is just the power set of x, P(x). If x⊆V, then V∈V and V∉V, since δ(V) is just V itself.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §2)
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
     Full Idea: In the family of the Liar is the Knower Paradox, where φ(x) is 'x is known to be true', and there is a set of known things, Kn. By knowing a sentence is not in the known sentences, you know its truth.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §4)
     A reaction: [mostly my wording]
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
     Full Idea: There are liar chains which fit the pattern of Transcendence and Closure, as can be seen with the simplest case of the Liar Pair.
     From: Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §4)
     A reaction: [Priest gives full details] Priest's idea is that Closure is when a set is announced as complete, and Transcendence is when the set is forced to expand. He claims that the two keep coming into conflict.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch]
     Full Idea: The most essential and fundamental aspect of culture is the study of literature, since this is an education in how to picture and understand human situations.
     From: Iris Murdoch (The Sovereignty of Good [1970], i)
     A reaction: It is significant that literature belongs more clearly to a nation or community than does most music or painting. You learn about Russians from their literature, but not much from their music.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch]
     Full Idea: The appreciation of beauty in art or nature is not only the easiest available spiritual exercise; it is also a completely adequate entry into (and not just analogy of) the good life, since it checks selfishness in the interest of seeing the real.
     From: Iris Murdoch (The Sovereignty of Good [1970], II)
     A reaction: Not keen on 'spiritual' exercises, but I very much like 'seeing the real' as a promotion of the good life. The hard bit is to know what reality you are seeing in a work of art. [p.84] Her example is the sudden sight of a hovering kestrel.
22. Metaethics / B. Value / 2. Values / g. Love
Love is a central concept in morals [Murdoch]
     Full Idea: Love is a central concept in morals. ....[p.30] The central concept of morality is 'the individual' thought of as knowable by love, thought of in the light of the command 'Be ye therefore perfect'.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: This seems to be a critique of the chillier aspects of utilitarianism and Kantian duty. Love doesn't seem essential to Aristotle's concept of virtue either, and Murdoch's tradition seems to be Christian. I'm undecided about this idea.
Ordinary human love is good evidence of transcendent goodness [Murdoch]
     Full Idea: Is not ordinary human love ...striking evidence of a transcendental principle of good?
     From: Iris Murdoch (The Sovereignty of Good [1970], II)
     A reaction: Sorry to be mean, but I would say not. Love is tied up with sexual desire, and with family and tribal loyalty, and can be observed in quite humble animals. (Love, I should quickly add, is a very good thing indeed. Really).
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
If I attend properly I will have no choices [Murdoch]
     Full Idea: If I attend properly I will have no choices, and this is the ultimate condition to be aimed at.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: I take it this is an expression of what we now call Particularism. It is not just that every moral situation is subtly morally different, but that the particulars of the situation will lead directly to moral choices (in a 'healthy' agent).
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Art trains us in the love of virtue [Murdoch]
     Full Idea: The enjoyment of art is a training in the love of virtue.
     From: Iris Murdoch (The Sovereignty of Good [1970], III)
     A reaction: Very Aristotelian to talk of 'training'. Unfortunately it is children who have the greatest need for training, but most art is aimed at mature adults. Can you be too old to be trained by art, even if you enjoy it?
It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch]
     Full Idea: It is the historical, individual, nature of the virtues as actually exemplified which makes it difficult to learn goodness from another person.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: A penetrating remark, which strikes me as true. When confronted with a virtuous person you might want to acquire their virtue, just as you might want them to teach you algebra, but their virtues are too bound up with their individuality.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
     Full Idea: More men are good through habit than through character.
     From: Critias (fragments/reports [c.440 BCE], B09), quoted by John Stobaeus - Anthology 3.29.41
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Only trivial virtues can be possessed on their own [Murdoch]
     Full Idea: It would be impossible to have only one virtue, unless it were a very trivial one such as thrift.
     From: Iris Murdoch (The Sovereignty of Good [1970], III)
     A reaction: A nicely nuanced commitment to the unity of virtue. You might exhibit courage alone in a brute animal way, but the sort of courage we all admire is part of more extended virtues.
Moral reflection and experience gradually reveals unity in the moral world [Murdoch]
     Full Idea: Reflection rightly tends to unify the moral world, and increasing moral sophistication reveals increasing unity.
     From: Iris Murdoch (The Sovereignty of Good [1970], II)
     A reaction: As an example she suggests asking what is the best type of courage. Connections to other virtues will emerge. That is a persuasive example. We all have strong views on what type of courage is the most admirable.
23. Ethics / F. Existentialism / 7. Existential Action
Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch]
     Full Idea: What may be called the Kantian wing and the Surrealist wing of existentialism may be distinguished by the degree of their interest in reasons for action, which diminishes to nothing at the Surrealist end.
     From: Iris Murdoch (The Sovereignty of Good [1970], I)
     A reaction: Presumably for all existentialists moral decisions are the most important aspect of life, since they define what you are, but the Surrealist wing seem to be nihilists about that, so they barely count as existentialists. For them life is sleepwalking.
Only a philosopher might think choices create values [Murdoch]
     Full Idea: The ordinary person does not, unless corrupted by philosophy, believe that he creates values by his choices.
     From: Iris Murdoch (The Sovereignty of Good [1970], III)
     A reaction: This looks like a swipe at Nietzsche, more than anyone. Sartre and co talk less about values, other than authenticity. Philosophy can definitely be corrupting.
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch]
     Full Idea: God was (or is) a single perfect transcendent non-representable and necessarily real object of attention. ....Moral philosophy should attempt to retain a central concept which has all these characteristics.
     From: Iris Murdoch (The Sovereignty of Good [1970], II)
     A reaction: This is a combination of middle Platonism (which sees the Form of the Good as the mind of God) and G.E. Moore's indefinable ideal of goodness. Murdoch connects this suggestion with the centrality of love in moral philosophy. I disagree.
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]
     Full Idea: When the laws forbade men to commit open crimes of violence, and they began to do them in secret, a wise and clever man invented fear of the gods for mortals, to frighten the wicked, even if they sin in secret.
     From: Critias (fragments/reports [c.440 BCE], B25), quoted by Sextus Empiricus - Against the Professors (six books) 9.54