33 ideas
| 21406 | Because there is only one human reason, there can only be one true philosophy from principles [Kant] |
| 10301 | The axiom of choice is controversial, but it could be replaced [Shapiro] |
| 10588 | First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro] |
| 10298 | Some say that second-order logic is mathematics, not logic [Shapiro] |
| 10299 | If the aim of logic is to codify inferences, second-order logic is useless [Shapiro] |
| 10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
| 10290 | Second-order variables also range over properties, sets, relations or functions [Shapiro] |
| 10297 | The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro] |
| 10590 | Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro] |
| 10292 | Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro] |
| 10296 | The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro] |
| 10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
| 3509 | Externalism may be the key idea in philosophical naturalism [Papineau] |
| 10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
| 21081 | We are equipped with the a priori intuitions needed for the concept of right [Kant] |
| 3513 | How does a dualist mind represent, exist outside space, and be transparent to itself? [Papineau] |
| 3514 | Functionalism needs causation and intentionality to explain actions [Papineau] |
| 3510 | Epiphenomenalism is supervenience without physicalism [Papineau] |
| 3511 | Supervenience requires all mental events to have physical effects [Papineau] |
| 3515 | Knowing what it is like to be something only involves being (physically) that thing [Papineau] |
| 3512 | If a mental state is multiply realisable, why does it lead to similar behaviour? [Papineau] |
| 3516 | The Private Language argument only means people may misjudge their experiences [Papineau] |
| 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] |