22 ideas
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
10061 | The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave] |
10065 | Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
7096 | We may still admire a person's character even if the traits are involuntary [Statman] |
7098 | There is a new sort of moral scepticism, about the possibility of moral theories [Statman] |
7099 | With a broad concept of flourishing, it might be possible without the virtues [Statman] |
7100 | Virtue theory isn't a genuine ethical theory, because it doesn't have universal application [Statman] |
7102 | Promises create moral duties that have nothing to do with character [Statman] |
7095 | Moral education is better by concrete example than abstract principle [Statman] |
7094 | Friends express friendship even when no utility is involved [Statman] |
7093 | Behaviour may be disgusting or inhumane, but violate no duty [Statman] |
7104 | The ancients recognised imperfect duties, but we have added perfect duties like justice [Statman] |
7103 | Abortion issues focus on the mother's right over her body, and the status of the foetus [Statman] |