15 ideas
| 1403 | A rational donkey would starve to death between two totally identical piles of hay [Buridan, by PG] |
| 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] |
| 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] |
| 16678 | Without magnitude a thing would retain its parts, but they would have no location [Buridan] |
| 16793 | A thing is (less properly) the same over time if each part is succeeded by another [Buridan] |
| 16726 | Why can't we deduce secondary qualities from primary ones, if they cause them? [Buridan] |
| 16577 | Induction is not demonstration, because not all of the instances can be observed [Buridan] |
| 16576 | Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan] |
| 14014 | Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski] |