29 ideas
21406 | Because there is only one human reason, there can only be one true philosophy from principles [Kant] |
10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
13044 | Infinity: There is at least one limit level [Potter] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
10709 | Priority is a modality, arising from collections and members [Potter] |
21081 | We are equipped with the a priori intuitions needed for the concept of right [Kant] |
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] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |