32 ideas
16877 | A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege] |
11219 | Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta] |
16878 | We must be clear about every premise and every law used in a proof [Frege] |
16867 | Logic not only proves things, but also reveals logical relations between them [Frege] |
16863 | Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege] |
16862 | The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege] |
16865 | 'Theorems' are both proved, and used in proofs [Frege] |
16866 | Tracing inference backwards closes in on a small set of axioms and postulates [Frege] |
16868 | The essence of mathematics is the kernel of primitive truths on which it rests [Frege] |
16871 | A truth can be an axiom in one system and not in another [Frege] |
16870 | Axioms are truths which cannot be doubted, and for which no proof is needed [Frege] |
16869 | To create order in mathematics we need a full system, guided by patterns of inference [Frege] |
16864 | If principles are provable, they are theorems; if not, they are axioms [Frege] |
8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
5806 | Belief is the power of metarepresentation [Dretske] |
5801 | A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske] |
5802 | Representations are in the head, but their content is not, as stories don't exist in their books [Dretske] |
5809 | Some activities are performed better without consciousness of them [Dretske] |
5808 | Qualia are just the properties objects are represented as having [Dretske] |
5803 | In a representational theory of mind, introspection is displaced perception [Dretske] |
5807 | Introspection is the same as the experience one is introspecting [Dretske] |
5805 | Introspection does not involve looking inwards [Dretske] |
5804 | A representational theory of the mind is an externalist theory of the mind [Dretske] |
5800 | All mental facts are representation, which consists of informational functions [Dretske] |
16876 | We need definitions to cram retrievable sense into a signed receptacle [Frege] |
16875 | We use signs to mark receptacles for complex senses [Frege] |
16879 | A sign won't gain sense just from being used in sentences with familiar components [Frege] |
16873 | Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege] |
16872 | A thought is the sense expressed by a sentence, and is what we prove [Frege] |
16874 | The parts of a thought map onto the parts of a sentence [Frege] |
10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |