23 ideas
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 21495 | Theoretical and practical politics are both concerned with the best lives for individuals [Russell] |
| 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] |
| 21517 | Individuals need creativity, reverence for others, and self-respect [Russell] |
| 21523 | We would not want UK affairs to be settled by a world parliament [Russell] |
| 21522 | Democracy is inadequate without a great deal of devolution [Russell] |
| 21521 | Anarchy does not maximise liberty [Russell] |
| 21528 | Groups should be autonomous, with a neutral authority as arbitrator [Russell] |
| 21527 | On every new question the majority is always wrong at first [Russell] |
| 21526 | Unfortunately ordinary voters can't detect insincerity [Russell] |
| 21525 | When the state is the only employer, there is no refuge from the prejudices of other people [Russell] |
| 21518 | Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell] |
| 21519 | We need security and liberty, and then encouragement of creativity [Russell] |
| 21524 | The right to own land gives a legal right to a permanent income [Russell] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| 21520 | That our heaven is a dull place reflects the misery of excessive work in life [Russell] |