35 ideas
| 12104 | All ideas must be understood historically [Comte] |
| 12105 | Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte] |
| 12112 | Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte] |
| 12111 | Positivism is the final state of human intelligence [Comte] |
| 12106 | Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte] |
| 12114 | Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte] |
| 12116 | Only positivist philosophy can terminate modern social crises [Comte] |
| 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] |
| 12108 | All real knowledge rests on observed facts [Comte] |
| 12109 | We must observe in order to form theories, but connected observations need prior theories [Comte] |
| 12107 | Positivism explains facts by connecting particular phenomena with general facts [Comte] |
| 12115 | Introspection is pure illusion; we can obviously observe everything except ourselves [Comte] |
| 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] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 12113 | The search for first or final causes is futile [Comte] |
| 12110 | We can never know origins, purposes or inner natures [Comte] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |