32 ideas
3853 | For science to be rational, we must explain scientific change rationally [Newton-Smith] |
3859 | We do not wish merely to predict, we also want to explain [Newton-Smith] |
3870 | The real problem of science is how to choose between possible explanations [Newton-Smith] |
3855 | Critics attack positivist division between theory and observation [Newton-Smith] |
3854 | Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith] |
3869 | More truthful theories have greater predictive power [Newton-Smith] |
3861 | Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith] |
10301 | The axiom of choice is controversial, but it could be replaced [Shapiro] |
10588 | First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro] |
10298 | Some say that second-order logic is mathematics, not logic [Shapiro] |
10299 | If the aim of logic is to codify inferences, second-order logic is useless [Shapiro] |
10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
10290 | Second-order variables also range over properties, sets, relations or functions [Shapiro] |
10590 | Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro] |
10296 | The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro] |
10297 | The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro] |
10292 | Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro] |
10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
3867 | De re necessity arises from the way the world is [Newton-Smith] |
3872 | We must assess the truth of beliefs in identifying them [Newton-Smith] |
3857 | Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith] |
3858 | A full understanding of 'yellow' involves some theory [Newton-Smith] |
3862 | All theories contain anomalies, and so are falsified! [Newton-Smith] |
3863 | The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith] |
3864 | Anomalies are judged against rival theories, and support for the current theory [Newton-Smith] |
3865 | Why should it matter whether or not a theory is scientific? [Newton-Smith] |
3866 | If theories are really incommensurable, we could believe them all [Newton-Smith] |
3871 | Explaining an action is showing that it is rational [Newton-Smith] |
7506 | God made man in his own image [Anon (Tor)] |
16782 | The names of all the types of creature were given forever by Adam [Anon (Tor)] |
4013 | And God saw the light, that it was good [Anon (Tor)] |