14 ideas
19336 | Wisdom involves the desire to achieve perfection [Leibniz] |
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] |
7696 | Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette] |
19341 | There must be a straining towards existence in the essence of all possible things [Leibniz] |
19428 | Because something does exist, there must be a drive in possible things towards existence [Leibniz] |
12697 | Indivisibles are not parts, but the extrema of parts [Leibniz] |
5047 | The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz] |
19343 | We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz] |
19429 | The principle of determination in things obtains the greatest effect with the least effort [Leibniz] |