11 ideas
21916 | Philosophers can't be religious, and don't need to be; philosophy is perilous but free [Schopenhauer] |
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
10885 | Computer proofs don't provide explanations [Horsten] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
10718 | A natural number is a property of sets [Maddy, by Oliver] |
8756 | Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro] |
17733 | We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins] |
21924 | As the subject of willing I am wretched, but absorption in knowledge is bliss [Schopenhauer] |
21915 | To deduce morality from reason is blasphemy, because it is holy, and far above reason [Schopenhauer] |