15 ideas
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| 16755 | The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau] |
| 21332 | We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill] |
| 21333 | Evil comes from good just as often as good comes from evil [Mill] |
| 21335 | Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill] |
| 21334 | No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill] |
| 21329 | Nature dispenses cruelty with no concern for either mercy or justice [Mill] |
| 21328 | Killing is a human crime, but nature kills everyone, and often with great tortures [Mill] |
| 21330 | Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill] |
| 21331 | Hurricanes, locusts, floods and blight can starve a million people to death [Mill] |