15 ideas
| 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] |
| 12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
| 23146 | Motives produce intentions, which lead to actions [Driver] |
| 23147 | Good intentions are not necessary for virtue [Driver] |
| 23144 | Virtue should be defined by consequences, not by states of mind [Driver] |
| 23148 | Virtues are character traits or dispositions which produce good consequences for others [Driver] |
| 23150 | Control of pregnancy and knowledge of paternity have downgraded chastity [Driver] |
| 23149 | If generosity systematically turned recipients into parasites, it wouldn't be a virtue [Driver] |