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!
|
9390
|
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
|
|
Full Idea:
Logic is part of a normative theory of thinking, not a substitute for thinking.
|
|
From:
Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
|
|
A reaction:
There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.
|
9389
|
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
|
|
Full Idea:
Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
|
|
From:
Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
|
|
A reaction:
I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
|
8249
|
Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra]
|
|
Full Idea:
Lesniewski distinguished the part-whole relationship from class membership. Membership is not transitive: if s is an element of t, and t of u, then s is not an element of u, whereas a part of a part is a part of the whole.
|
|
From:
report of Stanislaw Lesniewski (works [1916]) by George / Van Evra - The Rise of Modern Logic 7
|
|
A reaction:
If I am a member of a sports club, and my club is a member of the league, I am not thereby a member of the league (so clubs are classes, not wholes). This distinction is clearly fairly crucial in ontology.
|
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'.
|