14 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] |
| 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] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 22594 | In 1794 France all individual and legal rights were suppressed by the general will [Dunt] |
| 22602 | Over several centuries a set of eight main liberal values was established [Dunt] |
| 22596 | No government, or the whole nation, can control an individual beyond legitimate scope [Dunt] |
| 22603 | Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt] |
| 22592 | Nationalism pretends that we can only have a single identity [Dunt] |