40 ideas
18405 | A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever] |
17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
17765 | Propositional language can only relate statements as the same or as different [Walicki] |
17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
19369 | Lull's combinatorial art would articulate all the basic concepts, then show how they combine [Lull, by Arthur,R] |
17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
17754 | Inductive proof depends on the choice of the ordering [Walicki] |
17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
18422 | Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever] |
18425 | We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever] |
18421 | Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever] |
18419 | Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever] |
18404 | It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever] |
18426 | All information is objective, and purely indexical information is not much use [Cappelen/Dever] |
18427 | If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever] |
18428 | You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever] |
18429 | Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever] |
18407 | Indexicality is not significantly connected to agency [Cappelen/Dever] |
18413 | Fregeans can't agree on what 'senses' are [Cappelen/Dever] |
18417 | Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever] |
18408 | Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever] |
18414 | Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever] |
18423 | All indexicals can be expressed non-indexically [Cappelen/Dever] |
18406 | The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever] |
18411 | It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever] |
18420 | We deny that action involves some special class of beliefs [Cappelen/Dever] |
19371 | Nine principles of God: goodness, greatness, eternity, power, wisdom, will, virtue, truth and glory [Lull, by Arthur,R] |