27 ideas
17949 | Inquiry is the cause of philosophy [Aristotle] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
14703 | Superficial necessity is true in all worlds; deep necessity is thus true, no matter which world is actual [Schroeter] |
14714 | Contradictory claims about a necessary god both seem apriori coherent [Schroeter] |
14704 | 2D semantics gives us apriori knowledge of our own meanings [Schroeter] |
14706 | Your view of water depends on whether you start from the actual Earth or its counterfactual Twin [Schroeter] |
14711 | Rationalists say knowing an expression is identifying its extension using an internal cognitive state [Schroeter] |
14717 | Internalist meaning is about understanding; externalist meaning is about embedding in a situation [Schroeter] |
14720 | Semantic theory assigns meanings to expressions, and metasemantics explains how this works [Schroeter] |
14695 | Semantic theories show how truth of sentences depends on rules for interpreting and joining their parts [Schroeter] |
14696 | Simple semantics assigns extensions to names and to predicates [Schroeter] |
14697 | 'Federer' and 'best tennis player' can't mean the same, despite having the same extension [Schroeter] |
14698 | Possible worlds semantics uses 'intensions' - functions which assign extensions at each world [Schroeter] |
14699 | Possible worlds make 'I' and that person's name synonymous, but they have different meanings [Schroeter] |
14709 | Possible worlds semantics implies a constitutive connection between meanings and modal claims [Schroeter] |
14719 | In the possible worlds account all necessary truths are same (because they all map to the True) [Schroeter] |
14701 | Array worlds along the horizontal, and contexts (world,person,time) along the vertical [Schroeter] |
14702 | If we introduce 'actually' into modal talk, we need possible worlds twice to express this [Schroeter] |
14705 | Do we know apriori how we refer to names and natural kinds, but their modal profiles only a posteriori? [Schroeter] |
14715 | 2D fans defend it for conceptual analysis, for meaning, and for internalist reference [Schroeter] |
14716 | 2D semantics can't respond to contingent apriori claims, since there is no single proposition involved [Schroeter] |