18 ideas
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
19574 | If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis] |
19571 | Delusion and truth differ in their life functions [Novalis] |
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] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
19575 | Refinement of senses increasingly distinguishes individuals [Novalis] |
19572 | Experiences tests reason, and reason tests experience [Novalis] |
19573 | The seat of the soul is where our inner and outer worlds interpenetrate [Novalis] |
19577 | Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
19578 | Only self-illuminated perfect individuals are beautiful [Novalis] |
19576 | Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis] |