14 ideas
| 7719 | European philosophy consists of a series of footnotes to Plato [Whitehead] |
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 10656 | With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi] |
| 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] |
| 15389 | In Whitehead 'processes' consist of events beginning and ending [Whitehead, by Simons] |
| 18284 | Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper] |
| 15247 | Whitehead held that perception was a necessary feature of all causation [Whitehead, by Harré/Madden] |
| 16962 | Whitehead replaced points with extended regions [Whitehead, by Quine] |