27 ideas
| 21406 | Because there is only one human reason, there can only be one true philosophy from principles [Kant] |
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| 17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
| 17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
| 17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
| 17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
| 17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
| 17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
| 1630 | We can only see an alien language in terms of our own thought structures (e.g. physical/abstract) [Quine] |
| 5747 | "No entity without identity" - our ontology must contain items with settled identity conditions [Quine, by Melia] |
| 7925 | There is no proper identity concept for properties, and it is hard to distinguish one from two [Quine] |
| 13387 | Our conceptual scheme becomes more powerful when we posit abstract objects [Quine] |
| 8277 | I prefer 'no object without identity' to Quine's 'no entity without identity' [Lowe on Quine] |
| 21081 | We are equipped with the a priori intuitions needed for the concept of right [Kant] |
| 1631 | You could know the complete behavioural conditions for a foreign language, and still not know their beliefs [Quine] |
| 1632 | Translation of our remote past or language could be as problematic as alien languages [Quine] |
| 21082 | A power-based state of nature may not be unjust, but there is no justice without competent judges [Kant] |
| 21089 | Monarchs have the highest power; autocrats have complete power [Kant] |
| 21086 | Hereditary nobility has not been earned, and probably won't be earned [Kant] |
| 21080 | Actions are right if the maxim respects universal mutual freedoms [Kant] |
| 21083 | Women have no role in politics [Kant] |
| 21407 | Equality is not being bound in ways you cannot bind others [Kant] |
| 21084 | In the contract people lose their rights, but immediately regain them, in the new commonwealth [Kant] |
| 21090 | If someone has largely made something, then they own it [Kant] |
| 21087 | Human life is pointless without justice [Kant] |
| 21088 | Justice asserts the death penalty for murder, from a priori laws [Kant] |
| 21085 | The church has a political role, by offering a supreme power over people [Kant] |