23 ideas
| 16123 | 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. |
| 16125 | 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? |
| 16124 | 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. |
| 17884 | 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) |
| 17893 | '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) |
| 17894 | 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) |
| 17890 | 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] |
| 17887 | 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. |
| 17891 | 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) |
| 5961 | 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? |
| 283 | 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. |
| 282 | 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. |
| 281 | 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) |
| 22809 | 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. |
| 22559 | 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. |
| 22811 | 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. |
| 22815 | 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. |
| 22814 | 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 |
| 22810 | 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. |
| 22812 | 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. |
| 22813 | 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. |
| 23417 | 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. |
| 279 | 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) |