17 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
10620 | Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel] |
17883 | Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner] |
17885 | Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner] |
10614 | The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel] |
13128 | 'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins] |
21075 | The state of nature always involves the threat of war [Kant] |
20569 | Kant made the social contract international and cosmopolitan [Kant, by Oksala] |
21079 | The a priori general will of a people shows what is right [Kant] |
21077 | Each nation should, from self-interest, join an international security constitution [Kant] |
21078 | A constitution must always be improved when necessary [Kant] |
21076 | Equality is where you cannot impose a legal obligation you yourself wouldn't endure [Kant] |
20570 | There is now a growing universal community, and violations of rights are felt everywhere [Kant] |
20571 | There are political and inter-national rights, but also universal cosmopolitan rights [Kant] |
21073 | Hiring soldiers is to use them as instruments, ignoring their personal rights [Kant] |
21074 | Some trust in the enemy is needed during wartime, or peace would be impossible [Kant] |