76 ideas
15661 | Horkheimer's critical theory was interdisciplinary, and aware of its own context and function [Horkheimer, by Finlayson] |
18877 | Moral realism doesn't seem to entail the existence of any things [Cameron] |
18868 | Surely if some propositions are grounded in existence, they all are? [Cameron] |
18928 | If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron] |
18867 | Orthodox Truthmaker applies to all propositions, and necessitates their truth [Cameron] |
18873 | God fixes all the truths of the world by fixing what exists [Cameron] |
15395 | Give up objects necessitating truths, and say their natures cause the truths? [Cameron] |
18931 | Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron] |
18879 | What the proposition says may not be its truthmaker [Cameron] |
18880 | Rather than what exists, some claim that the truthmakers are ways of existence, dispositions, modalities etc [Cameron] |
18874 | Truthmaking doesn't require realism, because we can be anti-realist about truthmakers [Cameron] |
18932 | The facts about the existence of truthmakers can't have a further explanation [Cameron] |
15394 | Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron] |
18869 | Without truthmakers, negative truths must be ungrounded [Cameron] |
18923 | The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron] |
18926 | One temporal distibution property grounds our present and past truths [Cameron] |
18929 | We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron] |
18871 | I support the correspondence theory because I believe in truthmakers [Cameron] |
18870 | Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron] |
9738 | Each line of a truth table is a model [Fitting/Mendelsohn] |
9727 | Modal logic adds □ (necessarily) and ◊ (possibly) to classical logic [Fitting/Mendelsohn] |
9726 | We let 'R' be the accessibility relation: xRy is read 'y is accessible from x' [Fitting/Mendelsohn] |
9737 | The symbol ||- is the 'forcing' relation; 'Γ ||- P' means that P is true in world Γ [Fitting/Mendelsohn] |
13136 | The prefix σ names a possible world, and σ.n names a world accessible from that one [Fitting/Mendelsohn] |
13727 | A 'constant' domain is the same for all worlds; 'varying' domains can be entirely separate [Fitting/Mendelsohn] |
9734 | Modern modal logic introduces 'accessibility', saying xRy means 'y is accessible from x' [Fitting/Mendelsohn] |
9736 | A 'model' is a frame plus specification of propositions true at worlds, written < G,R,||- > [Fitting/Mendelsohn] |
9735 | A 'frame' is a set G of possible worlds, with an accessibility relation R, written < G,R > [Fitting/Mendelsohn] |
9741 | Accessibility relations can be 'reflexive' (self-referring), 'transitive' (carries over), or 'symmetric' (mutual) [Fitting/Mendelsohn] |
13141 | Negation: if σ ¬¬X then σ X [Fitting/Mendelsohn] |
13138 | Disj: a) if σ ¬(X∨Y) then σ ¬X and σ ¬Y b) if σ X∨Y then σ X or σ Y [Fitting/Mendelsohn] |
13142 | Existential: a) if σ ◊X then σ.n X b) if σ ¬□X then σ.n ¬X [n is new] [Fitting/Mendelsohn] |
13144 | T reflexive: a) if σ □X then σ X b) if σ ¬◊X then σ ¬X [Fitting/Mendelsohn] |
13145 | D serial: a) if σ □X then σ ◊X b) if σ ¬◊X then σ ¬□X [Fitting/Mendelsohn] |
13146 | B symmetric: a) if σ.n □X then σ X b) if σ.n ¬◊X then σ ¬X [n occurs] [Fitting/Mendelsohn] |
13147 | 4 transitive: a) if σ □X then σ.n □X b) if σ ¬◊X then σ.n ¬◊X [n occurs] [Fitting/Mendelsohn] |
13148 | 4r rev-trans: a) if σ.n □X then σ □X b) if σ.n ¬◊X then σ ¬◊X [n occurs] [Fitting/Mendelsohn] |
9740 | If a proposition is possibly true in a world, it is true in some world accessible from that world [Fitting/Mendelsohn] |
9739 | If a proposition is necessarily true in a world, it is true in all worlds accessible from that world [Fitting/Mendelsohn] |
13137 | Conj: a) if σ X∧Y then σ X and σ Y b) if σ ¬(X∧Y) then σ ¬X or σ ¬Y [Fitting/Mendelsohn] |
13140 | Bicon: a)if σ(X↔Y) then σ(X→Y) and σ(Y→X) b) [not biconditional, one or other fails] [Fitting/Mendelsohn] |
13139 | Implic: a) if σ ¬(X→Y) then σ X and σ ¬Y b) if σ X→Y then σ ¬X or σ Y [Fitting/Mendelsohn] |
13143 | Universal: a) if σ ¬◊X then σ.m ¬X b) if σ □X then σ.m X [m exists] [Fitting/Mendelsohn] |
13149 | S5: a) if n ◊X then kX b) if n ¬□X then k ¬X c) if n □X then k X d) if n ¬◊X then k ¬X [Fitting/Mendelsohn] |
9742 | The system K has no accessibility conditions [Fitting/Mendelsohn] |
13114 | □P → P is not valid in D (Deontic Logic), since an obligatory action may be not performed [Fitting/Mendelsohn] |
9743 | The system D has the 'serial' conditon imposed on its accessibility relation [Fitting/Mendelsohn] |
9744 | The system T has the 'reflexive' conditon imposed on its accessibility relation [Fitting/Mendelsohn] |
9746 | The system K4 has the 'transitive' condition on its accessibility relation [Fitting/Mendelsohn] |
9745 | The system B has the 'reflexive' and 'symmetric' conditions on its accessibility relation [Fitting/Mendelsohn] |
9747 | The system S4 has the 'reflexive' and 'transitive' conditions on its accessibility relation [Fitting/Mendelsohn] |
15102 | S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron] |
9748 | System S5 has the 'reflexive', 'symmetric' and 'transitive' conditions on its accessibility relation [Fitting/Mendelsohn] |
9404 | Modality affects content, because P→◊P is valid, but ◊P→P isn't [Fitting/Mendelsohn] |
13112 | In epistemic logic knowers are logically omniscient, so they know that they know [Fitting/Mendelsohn] |
13111 | Read epistemic box as 'a knows/believes P' and diamond as 'for all a knows/believes, P' [Fitting/Mendelsohn] |
13113 | F: will sometime, P: was sometime, G: will always, H: was always [Fitting/Mendelsohn] |
13728 | The Barcan says nothing comes into existence; the Converse says nothing ceases; the pair imply stability [Fitting/Mendelsohn] |
13729 | The Barcan corresponds to anti-monotonicity, and the Converse to monotonicity [Fitting/Mendelsohn] |
9725 | 'Predicate abstraction' abstracts predicates from formulae, giving scope for constants and functions [Fitting/Mendelsohn] |
18881 | For realists it is analytic that truths are grounded in the world [Cameron] |
18875 | Realism says a discourse is true or false, and some of it is true [Cameron] |
18878 | Realism says truths rest on mind-independent reality; truthmaking theories are about which features [Cameron] |
18924 | Being polka-dotted is a 'spatial distribution' property [Cameron] |
15401 | Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron] |
15393 | An object's intrinsic properties are had in virtue of how it is, independently [Cameron] |
15396 | Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron] |
18930 | Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron] |
13730 | The Indiscernibility of Identicals has been a big problem for modal logic [Fitting/Mendelsohn] |
15103 | Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron] |
18872 | We should reject distinct but indiscernible worlds [Cameron] |
13725 | □ must be sensitive as to whether it picks out an object by essential or by contingent properties [Fitting/Mendelsohn] |
13731 | Objects retain their possible properties across worlds, so a bundle theory of them seems best [Fitting/Mendelsohn] |
13726 | Counterpart relations are neither symmetric nor transitive, so there is no logic of equality for them [Fitting/Mendelsohn] |
15104 | The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron] |
18927 | Surely if things extend over time, then time itself must be extended? [Cameron] |