16 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] |
13195 | To explain a house we must describe its use, as well as its parts [Leibniz] |
13193 | Active force is not just potential for action, since it involves a real effort or striving [Leibniz] |
22445 | Morality shows murder is wrong, but not what counts as a murder [Foot] |
22444 | A moral system must deal with the dangers and benefits of life [Foot] |
22447 | Saying something 'just is' right or wrong creates an illusion of fact and objectivity [Foot] |
22448 | We sometimes just use the word 'should' to impose a rule of conduct on someone [Foot] |
22446 | In the case of something lacking independence, calling it a human being is a matter of choice [Foot] |
13194 | God's laws would be meaningless without internal powers for following them [Leibniz] |
13196 | All qualities of bodies reduce to forces [Leibniz] |
13192 | Power is passive force, which is mass, and active force, which is entelechy or form [Leibniz] |