17 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] |
12699 | A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz] |
12700 | Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz] |
12736 | If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber] |
17498 | In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG] |
17501 | Representational success in models depends on success of their explanations [Portides] |
17502 | The best model of the atomic nucleus is the one which explains the most results [Portides] |
17496 | 'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides] |
17497 | Models are theory-driven, or phenomenological (more empirical and specific) [Portides] |
17499 | Theoretical models can represent, by mapping onto the data-models [Portides] |
17500 | General theories may be too abstract to actually explain the mechanisms [Portides] |
12698 | Every body contains a kind of sense and appetite, or a soul [Leibniz] |