Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Sovereignty of Good' and 'The Statesman'

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30 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.
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Whenever you perceive a community of things, you should also hunt out differences in the group [Plato]
     Full Idea: The rule is that when one perceives first the community between the members of a group of many things, one should not desist until one sees in it all those differences that are located in classes.
     From: Plato (The Statesman [c.356 BCE], 285b)
     A reaction: He goes on to recommend the opposite as well - see community even when there appears to be nothing but differences. I take this to be analysis, just as much as modern linguistic approaches are. Analyse the world, not language.
2. Reason / D. Definition / 2. Aims of Definition
To reveal a nature, divide down, and strip away what it has in common with other things [Plato]
     Full Idea: Let's take the kind posited and cut it in two, .then follow the righthand part of what we've cut, and hold onto things that the sophist is associated with until we strip away everything he has in common with other things, then display his peculiar nature.
     From: Plato (The Statesman [c.356 BCE], 264e)
     A reaction: This seems to be close to Aristotle's account of definition, when he is trying to get at what-it-is-to-be some thing. But if you strip away everything the definiendum has in common with other things, will anything remain?
No one wants to define 'weaving' just for the sake of weaving [Plato]
     Full Idea: I don't suppose that anyone with any sense would want to hunt down the definition of 'weaving' for the sake of weaving itself.
     From: Plato (The Statesman [c.356 BCE], 285d)
     A reaction: The point seems to be that the definition brings out the connections between weaving and other activities and objects, thus enlarging our understanding.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
The soul gets its goodness from god, and its evil from previous existence. [Plato]
     Full Idea: From its composer the soul possesses all beautiful things, but from its former condition, everything that proves to be harsh and unjust in heaven.
     From: Plato (The Statesman [c.356 BCE], 273b)
     A reaction: A neat move to explain the origins of evil (or rather, to shift the problem of evil to a long long way from here). This view presumably traces back to the views of Empedocles on good and evil. Can the soul acquire evil in its current existence?
19. Language / F. Communication / 1. Rhetoric
The question of whether or not to persuade comes before the science of persuasion [Plato]
     Full Idea: The science of whether one must persuade or not must rule over the science capable of persuading.
     From: Plato (The Statesman [c.356 BCE], 304c)
     A reaction: Plato probably thinks that reason has to be top of the pyramid, but there is always the Nietzschean/romantic question of why we should place such a value on what is rational.
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Non-physical beauty can only be shown clearly by speech [Plato]
     Full Idea: The bodiless things, being the most beautiful and the greatest, are only shown with clarity by speech and nothing else.
     From: Plato (The Statesman [c.356 BCE], 286a)
     A reaction: Unfortunately this will be true of warped and ugly ideas as well.
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 / f. The Mean
The arts produce good and beautiful things by preserving the mean [Plato]
     Full Idea: It is by preserving the mean that arts produce everything that is good and beautiful.
     From: Plato (The Statesman [c.356 BCE], 284b)
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
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.
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.
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.
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle]
     Full Idea: Plato judged that when the constitution is decent, democracy is the worst of them, but when they are bad it is the best.
     From: report of Plato (The Statesman [c.356 BCE], 302e) by Aristotle - Politics 1289b07
     A reaction: Aristotle denies that a good oligarchy is superior. What of technocracy? The challenge is to set up institutions which ensure the health of the democracy. The big modern problem is populists who lie.
28. God / A. Divine Nature / 2. Divine Nature
Only divine things can always stay the same, and bodies are not like that [Plato]
     Full Idea: It is fitting for only the most divine things of all to be always the same and in the same state and in the same respects, and the nature of body is not of this ordering.
     From: Plato (The Statesman [c.356 BCE], 269b)
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.