30 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] |
| 16870 | Axioms are truths which cannot be doubted, and for which no proof is needed [Frege] |
| 16871 | A truth can be an axiom in one system and not in another [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] |
| 9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
| 16876 | We need definitions to cram retrievable sense into a signed receptacle [Frege] |
| 16875 | We use signs to mark receptacles for complex senses [Frege] |
| 17722 | The concept 'red' is tied to what actually individuates red things [Peacocke] |
| 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] |
| 23429 | The environment needs localised politics, with its care for the land [Dobson] |
| 23424 | An ideology judges things now, and offers an ideal, with a strategy for reaching it [Dobson] |
| 23426 | Ecologism is often non-liberal, by claiming to know other people's best interests [Dobson] |
| 23427 | Socialism can be productive and centralised, or less productive and decentralised [Dobson] |
| 23428 | Difference feminists say women differ fundamentally from men [Dobson] |
| 23430 | A million years is a proper unit of political time [Dobson] |
| 23425 | Ecologism says growth must be reduced, and efficiency is not enough [Dobson] |
| 23422 | For the environment, affluence and technology matter as much as population size [Dobson] |
| 23423 | We currently value the present fourteen times more highly than the future [Dobson] |