3 ideas
| 14248 | We could accept the integers as primitive, then use sets to construct the rest [Cohen] |
| Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities. | |
| From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For? | |
| A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world. |
| 22668 | Apprehension is a complex intellect grasping the essence of a complex object [Holt,L] |
| Full Idea: The paradigm case of apprehension is of a complex intellect confronted with a complex object, in which the intellect understands in a particular context what is 'essential' about the object. | |
| From: Lynn Holt (Apprehension: reason in absence of Rules [2002], 3 'Expertise') | |
| A reaction: My line is that this apprehension cashes out as an immediate ability to explain the object. This is an enhanced version of the rational understanding of things found in most larger animals. Holt says her account is Aristotelian. |
| 21788 | The moral will is self-determining, but the ethical will is met in society [Houlgate] |
| Full Idea: Whereas the moral will understands the good to be something which it can recognise or determine by itself, the ethical will acknowledges the good to be something actual which it encounters in the world about it. | |
| From: Stephen Houlgate (An Introduction to Hegel [1991], 08 'Freedom') | |
| A reaction: I think these two terms have become blurred - or at least I have thoroughly lost track of them. I'm not sure whether it is good to have distinct terms for (Kantian) personal choice and for social expectations. Ethics is what Nietzsche attacks. |