15 ideas
| 8251 | The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell] |
| Full Idea: The logical space of reasons is just part of the logical space of nature. ...And, in a Kantian slogan, the space of reasons is the realm of freedom. | |
| From: John McDowell (Mind and World [1994], Intro 7) | |
| A reaction: [second half on p.5] This is a modern have-your-cake-and-eat-it view of which I am becoming very suspicious. The modern Kantians (Davidson, Nagel, McDowell) are struggling to naturalise free will, but it won't work. Just dump it! |
| 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) |
| 8128 | Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge] |
| Full Idea: McDowell has claimed that one cannot make sense of representation that plays a role in epistemology unless one takes the representation to be propositional, and thus capable of yielding reasons. | |
| From: report of John McDowell (Mind and World [1994]) by Tyler Burge - Philosophy of Mind: 1950-2000 p.456 | |
| A reaction: A transcendental argument leads back to a somewhat implausible conclusion. I suspect that McDowell has a slightly inflated (Kantian) notion of the purity of the 'space of reasons'. Do philosophers just imagine their problems? |
| 19092 | There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth] |
| Full Idea: McDowell argues that the Myth of the Given shows not that there is no content to a concept that is not a matter of its inferential relations to other concepts but only that awareness of the sort that we enjoy ...is acquired in the course of acculturation. | |
| From: report of John McDowell (Mind and World [1994]) by Danielle Macbeth - Pragmatism and Objective Truth p.185 | |
| A reaction: The first view is of Wilfred Sellars, who derives pragmatic relativism from his rejection of the Myth. This idea is helpful is seeing why McDowell has a good proposal. As I look out of my window, my immediate experience seems 'cultured'. |
| 8253 | Sense impressions already have conceptual content [McDowell] |
| Full Idea: The world's impressions on our senses are already possessed of conceptual content. | |
| From: John McDowell (Mind and World [1994], I.6) | |
| A reaction: This is a key idea of McDowell's, which challenges most traditional empiricist views, and (maybe) offers a solution to the rationalist/empiricist debate. His commitment to the 'space of reasons' strikes me as an optional extra. |
| 8254 | Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell] |
| Full Idea: The idea that concepts can be formed by abstraction from the Given just is the idea of private ostensive definition. So the Private Language Argument just is the rejection of the Given, in so far as it bears on the possibilities for language. | |
| From: John McDowell (Mind and World [1994], I.7) | |
| A reaction: I'm not clear why the process of abstraction from raw impressions shouldn't be a matter of public, explicit, community negotiation. We seem to be able to share and compare fairly raw impressions without much trouble (discussing sunsets). |
| 22265 | I can't defend the view that the majority values of a community are thereby right [Sandel] |
| Full Idea: Insofar as 'communitarian' is another name for majoritarianism, or for the idea that rights should rest on the values that predominate in any given community at any given time, it is not a view I would defend. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Where') | |
| A reaction: I should hope not. You could soon end up as a good nazi if you follow that route. Sandel defends a critical view of community values (implying a role for philosophy?). The community good must be continually negotiated. Sounds fine to me. |
| 22268 | If persons define themselves by a group membership, insults to that group are a real harm [Sandel] |
| Full Idea: For persons who understand themselves as defined by the ethnic or religious group to which they belong, an insult to the group can inflict a harm as real and as damaging as some physical harms. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Free speech') | |
| A reaction: In Britain many people fully define themselves by their allegiance to a football club. Really! They usually learn to laugh off an insult to their club, but it hurts. Laughing off an insult is an essential modern skill - up to a point. |
| 22267 | In the liberal view an insult to my group doesn't hurt me, since I'm defined by choices not groups [Sandel] |
| Full Idea: By the liberal conception of a person, my dignity could never be damaged by an insult to a group with which I identify, because what matters is not my social role, but my capacity to choose that role. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Free speech') | |
| A reaction: If I'm defined by my capacity to choose, and I choose to join some group, why is an insult to that group not an insult to my capacity to choose? How do you insult a liberal? 'I despise your individual freedom!'. |
| 22266 | The case for religious liberty depends on the religion contributing to a morally good life [Sandel] |
| Full Idea: Unless there were reason to believe that religious beliefs and practices contribute to morally admirable ways of life, the case for a right to religious liberty would be weakened. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Religious') | |
| A reaction: I think many religious people would deny that their religion is primarily moral. (W.Blake: 'If morality is Christianity, then Socrates was the saviour'). Whose concept of a morally good life is Sandel referring to? |