39 ideas
17713 | After 1903, Husserl avoids metaphysical commitments [Mares] |
18781 | Inconsistency doesn't prevent us reasoning about some system [Mares] |
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] |
18784 | In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares] |
18793 | Material implication (and classical logic) considers nothing but truth values for implications [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] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
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] |
17486 | Supervenience is simply modally robust property co-variance [Hendry] |
17703 | Light in straight lines is contingent a priori; stipulated as straight, because they happen to be so [Mares] |
17714 | Aristotelians dislike the idea of a priori judgements from pure reason [Mares] |
17705 | Empiricists say rationalists mistake imaginative powers for modal insights [Mares] |
17700 | The most popular view is that coherent beliefs explain one another [Mares] |
17704 | Operationalism defines concepts by our ways of measuring them [Mares] |
17481 | Nuclear charge (plus laws) explains electron structure and spectrum, but not vice versa [Hendry] |
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] |
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] |
17478 | Maybe two kinds are the same if there is no change of entropy on isothermal mixing [Hendry] |
17479 | The nature of an element must survive chemical change, so it is the nucleus, not the electrons [Hendry] |
17484 | Maybe the nature of water is macroscopic, and not in the microstructure [Hendry] |
17485 | Maybe water is the smallest part of it that still counts as water (which is H2O molecules) [Hendry] |
17708 | Maybe space has points, but processes always need regions with a size [Mares] |
17483 | Water continuously changes, with new groupings of molecules [Hendry] |
17482 | Compounds can differ with the same collection of atoms, so structure matters too [Hendry] |
17477 | Defining elements by atomic number allowed atoms of an element to have different masses [Hendry] |
17476 | Elements survive chemical change, and are tracked to explain direction and properties [Hendry] |
17480 | Generally it is nuclear charge (not nuclear mass) which determines behaviour [Hendry] |