Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On the Genealogy of Ethics' and 'Atomism'

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17 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
Early Greeks cared about city and companions; later Greeks concentrated on the self [Foucault]
     Full Idea: For early Greeks their techné for life was to take care of the city, of companions (see Plato's 'Alcibiades'). Taking care of yourself for its own sake starts with the Epicureans, and becomes very general in Seneca and Pliny.
     From: Michel Foucault (On the Genealogy of Ethics [1983], p.260)
     A reaction: In Aristotle the two strike me as ideally balanced - to become a wonderful citizen by looking after yourself. Presumably the destruction of the city-states by Alexander took away the motive, and the aim became more private.
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)
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Why couldn't a person's life become a work of art? [Foucault]
     Full Idea: Couldn't everyone's life become a work of art? Why should the lamp or the house be an art object, but not our life?
     From: Michel Foucault (On the Genealogy of Ethics [1983], p.261)
     A reaction: This sounds wonderfully appealing until I try to think how I would implement it. The Augustine move, from sinner to saint, is a possibility, but there is nothing good about sin. The Christian ideal, of colossal self-sacrifice, can be very heroic.
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
Greeks and early Christians were much more concerned about food than about sex [Foucault]
     Full Idea: It is interesting to see the very slow move from the privileging of food, which was overwhelming in Greece, to interest in sex. Early Christians (and rules for monks) were more concerned with food. Sex only dominates from the seventeenth century.
     From: Michel Foucault (On the Genealogy of Ethics [1983], p.253)
     A reaction: Certainly the Greeks were obsessed with food, and the Sicilian Greeks were notorious for their love of it. Is it simply that food becomes more plentiful, or does female freedom lead to more sex? Puritanism hates the greatest pleasures the most.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The social contract sees society as constituted by and for individuals [Taylor,C]
     Full Idea: The social contract theory …has a vision of society as in some sense constituted by individuals for the fulfilment of ends which are primarily individual.
     From: Charles Taylor (Atomism [1979], p.29)
     A reaction: It seems to be initiated by individuals who are only motivated by what is in it for them. This presumes self-sufficient adults, rather than children, or parents with children, or dependent people. The epitome of liberalism, perhaps.
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C]
     Full Idea: It would be incomprehensible and incoherent to ascribe rights to human beings in respect of the specifically human capacities (such as the right to beliefs or life-style) while at the same time denying that those capacities ought to be developed.
     From: Charles Taylor (Atomism [1979], p.33)
     A reaction: Developed by whom? The agent, their family, or the state? At what point has someone got a capacity, with no further requirement to develop it? Taylor pulls rather large rabbits out of small hats.
If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C]
     Full Idea: If realising our freedom partly depends on the society and culture in which we live, then we exercise a fuller freedom if we can help determine the shape of this society and culture.
     From: Charles Taylor (Atomism [1979], p.47)
     A reaction: This is clearly in response to the critics of communitarianism who say that it is too conservative, because your values are created for you, by your community.
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Our reliance on other people close to us does not imply any political obligations [Taylor,C]
     Full Idea: We must all be nurtures by others as children, and we only flourish as adults in relationship with friends, mates, children and so on. But this has nothing to do with any obligation to belong to political society.
     From: Charles Taylor (Atomism [1979], p.42)
     A reaction: He is defending community, but not at that minimal human level. Political obligations follows from our need for a wider society, to achieve justice, education, travel, health etc. There are no rights without a society
25. Social Practice / C. Rights / 1. Basis of Rights
For most people the primacy of rights mainly concerns freedom [Taylor,C]
     Full Idea: Most of those who want to affirm the primacy of rights are more interested in asserting the right of freedom, and in a sense which can only be attributed to humans.
     From: Charles Taylor (Atomism [1979], p.40)
     A reaction: This is probably more pronounced in North America than in Europe. It may be that without freedom a lot of the other rights are impossible.
A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C]
     Full Idea: Asserting a right is more than issuing an injunction. It has an essential conceptual background, in some notion of the moral worth of certain properties or capacities, without which it would not make.
     From: Charles Taylor (Atomism [1979], p.33)
     A reaction: A simple right may arise from a contract, which could be quite trivial, and of no moral importance. The winner of the egg and spoon race has a right to the prize, which is an ice cream. I think he means legal rights in a state.
25. Social Practice / C. Rights / 4. Property rights
Property is not essential for life, but it may be essential for independence [Taylor,C]
     Full Idea: It is standardly said that we need the right to property as an essential underpinning of life, but this is patently not true. …In reality it is actually seen as an essential part of a life of independence.
     From: Charles Taylor (Atomism [1979], p.41)
     A reaction: Hence it has a high value for liberals, for whom an independent life is the prime social aspiration. The law of trespass will define the degree of independence provided by property.
25. Social Practice / E. Policies / 3. Welfare provision
If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka]
     Full Idea: Charles Taylor says the neutral [liberal] state undermines the sense of community which is required for citizens to accept the sacrifices demanded by the welfare state.
     From: report of Charles Taylor (Atomism [1979]) by Will Kymlicka - Community 'legitimacy'
     A reaction: As someone who believes in the welfare state, I think this is correct. Extreme individualistic liberalism is incompatible with a welfare state. A liberal society needs institutions which draw free individuals into the community.