14 ideas
17950 | The logos enables us to track one particular among a network of objects [Nehamas] |
17951 | A logos may be short, but it contains reference to the whole domain of the object [Nehamas] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |