50 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] |
6961 | An analogy begins to break down as soon as the two cases differ [Hume] |
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] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
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] |
21285 | Events are baffling before experience, and obvious after experience [Hume] |
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] |
6959 | We can't assume God's perfections are like our ideas or like human attributes [Hume] |
6957 | The objects of theological reasoning are too big for our minds [Hume] |
21255 | No being's non-existence can imply a contradiction, so its existence cannot be proved a priori [Hume] |
21254 | A chain of events requires a cause for the whole as well as the parts, yet the chain is just a sum of parts [Hume] |
1435 | If something must be necessary so that something exists rather than nothing, why can't the universe be necessary? [Hume] |
6962 | The thing which contains order must be God, so see God where you see order [Hume] |
6964 | From our limited view, we cannot tell if the universe is faulty [Hume] |
21279 | If the divine cause is proportional to its effects, the effects are finite, so the Deity cannot be infinite [Hume] |
21282 | Design cannot prove a unified Deity. Many men make a city, so why not many gods for a world? [Hume] |
21280 | From a ship you would judge its creator a genius, not a mere humble workman [Hume] |
21281 | This excellent world may be the result of a huge sequence of trial-and-error [Hume] |
21283 | Humans renew their species sexually. If there are many gods, would they not do the same? [Hume] |
6966 | Creation is more like vegetation than human art, so it won't come from reason [Hume] |
21284 | This Creator god might be an infant or incompetent or senile [Hume] |
21286 | Motion often begins in matter, with no sign of a controlling agent [Hume] |
21287 | The universe could settle into superficial order, without a designer [Hume] |
21288 | Ideas arise from objects, not vice versa; ideas only influence matter if they are linked [Hume] |
21256 | A surprise feature of all products of 9 looks like design, but is actually a necessity [Hume] |
6958 | How can we pronounce on a whole after a brief look at a very small part? [Hume] |
6963 | Why would we infer an infinite creator from a finite creation? [Hume] |
6960 | Analogy suggests that God has a very great human mind [Hume] |
6965 | The universe may be the result of trial-and-error [Hume] |
6967 | Order may come from an irrational source as well as a rational one [Hume] |