50 ideas
| 17713 | After 1903, Husserl avoids metaphysical commitments [Mares] |
| 3870 | The real problem of science is how to choose between possible explanations [Newton-Smith] |
| 3859 | We do not wish merely to predict, we also want to explain [Newton-Smith] |
| 3853 | For science to be rational, we must explain scientific change rationally [Newton-Smith] |
| 3854 | Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith] |
| 3855 | Critics attack positivist division between theory and observation [Newton-Smith] |
| 18781 | Inconsistency doesn't prevent us reasoning about some system [Mares] |
| 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] |
| 18789 | Intuitionist logic looks best as natural deduction [Mares] |
| 18790 | Intuitionism as natural deduction has no rule for negation [Mares] |
| 18787 | Three-valued logic is useful for a theory of presupposition [Mares] |
| 18793 | Material implication (and classical logic) considers nothing but truth values for implications [Mares] |
| 18784 | In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares] |
| 18786 | Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares] |
| 18780 | Standard disjunction and negation force us to accept the principle of bivalence [Mares] |
| 18782 | The connectives are studied either through model theory or through proof theory [Mares] |
| 18783 | Many-valued logics lack a natural deduction system [Mares] |
| 18792 | Situation semantics for logics: not possible worlds, but information in situations [Mares] |
| 18785 | Consistency is semantic, but non-contradiction is syntactic [Mares] |
| 17715 | The truth of the axioms doesn't matter for pure mathematics, but it does for applied [Mares] |
| 17716 | Mathematics is relations between properties we abstract from experience [Mares] |
| 18788 | For intuitionists there are not numbers and sets, but processes of counting and collecting [Mares] |
| 3867 | De re necessity arises from the way the world is [Newton-Smith] |
| 17703 | Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so [Mares] |
| 19542 | It is nonsense that understanding does not involve knowledge; to understand, you must know [Dougherty/Rysiew] |
| 19543 | To grasp understanding, we should be more explicit about what needs to be known [Dougherty/Rysiew] |
| 3872 | We must assess the truth of beliefs in identifying them [Newton-Smith] |
| 19541 | Rather than knowledge, our epistemic aim may be mere true belief, or else understanding and wisdom [Dougherty/Rysiew] |
| 17714 | Aristotelians dislike the idea of a priori judgements from pure reason [Mares] |
| 17705 | Empiricists say rationalists mistake imaginative powers for modal insights [Mares] |
| 19540 | Don't confuse justified belief with justified believers [Dougherty/Rysiew] |
| 19539 | If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew] |
| 17700 | The most popular view is that coherent beliefs explain one another [Mares] |
| 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] |
| 17704 | Operationalism defines concepts by our ways of measuring them [Mares] |
| 3866 | If theories are really incommensurable, we could believe them all [Newton-Smith] |
| 17710 | Aristotelian justification uses concepts abstracted from experience [Mares] |
| 17706 | The essence of a concept is either its definition or its conceptual relations? [Mares] |
| 18791 | In 'situation semantics' our main concepts are abstracted from situations [Mares] |
| 19538 | Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew] |
| 17701 | Possible worlds semantics has a nice compositional account of modal statements [Mares] |
| 17702 | Unstructured propositions are sets of possible worlds; structured ones have components [Mares] |
| 3871 | Explaining an action is showing that it is rational [Newton-Smith] |
| 17708 | Maybe space has points, but processes always need regions with a size [Mares] |