22 ideas
10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
10011 | Identity is a level one relation with a second-order definition [Hodes] |
9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
10027 | Mathematics is higher-order modal logic [Hodes] |
9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |
7658 | Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett] |
7655 | The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett] |
7657 | Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett] |
7656 | I don't deny consciousness; it just isn't what people think it is [Dennett] |
7654 | What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett] |