3 ideas
10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures. | |
From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79 | |
A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s. |
20168 | Blame usually has no effect if the recipient thinks it unjustified [Williams,B] |
Full Idea: One of the most obvious facts about blame is that in many cases it is effective only if the recipient thinks that it is justified. | |
From: Bernard Williams (How free does the will need to be? [1985], 5) | |
A reaction: The point of the blame might not be reform of the agent, but a public justification for punishment as deterrence, in which case who cares what the agent thinks? Is blame attribution of causes, or reasons to punish? |
20167 | Blame partly rests on the fiction that blamed agents always know their obligations [Williams,B] |
Full Idea: Blame rests, in part, on a fiction; the idea that ethical reasons, in particular the special kind of ethical reasons that are obligations, must, really, be available to the blamed agent. | |
From: Bernard Williams (How free does the will need to be? [1985], 5) | |
A reaction: In blaming someone, you may be telling them that they should know their obligations, rather than assuming that they do know them. How else can we give children a moral education? |