7 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
Full Idea: By dissection I can make the concept distinct only by making the marks it contains clear. That is what analysis does. If this analysis is complete ...and in addition there are not so many marks, then it is precise and so constitutes a definition. | |
From: Immanuel Kant (Wiener Logik [1795], p.455), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' | |
A reaction: I think Aristotle would approve of this. We need to grasp that a philosophical definition is quite different from a lexicographical definition. 'Completeness' may involve quite a lot. |
17751 | Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki] |
Full Idea: Gödel proved the completeness of first order predicate logic in his doctoral dissertation of 1930. | |
From: report of Kurt Gödel (Completeness of Axioms of Logic [1930]) by Michal Walicki - Introduction to Mathematical Logic History E.2.2 |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
Full Idea: In logic the question is not one of contingent but of necessary rules, not how to think, but how we ought to think. | |
From: Immanuel Kant (Wiener Logik [1795], p.16), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Trans' | |
A reaction: Presumably it aspires to the objectivity of a single correct account of how we all ought to think. I'm sympathetic to that, rather than modern cultural relativism about reason. Logic is rooted in nature, not in arbitrary convention. |
18260 | If we knew what we know, we would be astonished [Kant] |
Full Idea: If we only know what we know ...we would be astonished by the treasures contained in our knowledge. | |
From: Immanuel Kant (Wiener Logik [1795], p.843), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' | |
A reaction: Nice remark. He doesn't require immediat recall of knowledge. You can't be required to know that you know something. That doesn't imply externalism, though. I believe in securely founded internal knowledge which is hard to recall. |
23279 | It is important that a person can change their character, and not just be successive 'selves' [Williams,B] |
Full Idea: I want to emphasise the basic importance of the ordinary idea of a self or person which undergoes changes of character, as opposed to dissolving a changing person into a series of 'selves'. | |
From: Bernard Williams (Persons, Character and Morality [1976], II) | |
A reaction: [compressed] He mentions Derek Parfit for the rival view. Williams has the Aristotelian view, that a person has an essential nature, which endures through change, and explains that change. But that needs some non-essential character traits. |
23280 | Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B] |
Full Idea: The Kantians' omission of character is a condition of their ultimate insistence on the demands of impartial morality, just as it is a reason to find inadequate their account of the individual. | |
From: Bernard Williams (Persons, Character and Morality [1976], II) | |
A reaction: This is also why the Kantian account of virtue is inadequate, in comparison with the Aristotelian view. |
23278 | For utilitarians states of affairs are what have value, not matter who produced them [Williams,B] |
Full Idea: The basic bearer of value for Utilitarianism is the state of affairs, and hence, when the relevant causal differences have been allowed for, it cannot make any further difference who produces a given state of affairs. | |
From: Bernard Williams (Persons, Character and Morality [1976], I) | |
A reaction: Which is morally better, that I water your bed of flowers, or that it rains? Which is morally better, that I water them from love, or because you threaten me with a whip? |