16 ideas
| 23449 | Interpreting a text is representing it as making sense [Morris,M] |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
| 23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| 23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
| 23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
| 23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| 6303 | Sets are positions in patterns [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] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| 23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |