37 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] |
20457 | Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli] |
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] |
20468 | Quantum mechanics deals with processes, rather than with things [Rovelli] |
20467 | Quantum mechanics describes the world entirely as events [Rovelli] |
9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
7518 | If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM] |
7519 | Many mental phenomena are totally unexplained by folk psychology [Churchland,PM] |
7520 | Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM] |
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] |
20469 | There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli] |
20461 | The basic ideas of fields and particles are merged in quantum mechanics [Rovelli] |
20462 | Because it is quantised, a field behaves like a set of packets of energy [Rovelli] |
20463 | There are about fifteen particles fields, plus a few force fields [Rovelli] |
20464 | The world consists of quantum fields, with elementary events happening in spacetime [Rovelli] |
20459 | Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli] |
20460 | Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli] |
20466 | Quantum Theory describes events and possible interactions - not how things are [Rovelli] |
20465 | Nature has three aspects: granularity, indeterminacy, and relations [Rovelli] |
20458 | The world is just particles plus fields; space is the gravitational field [Rovelli] |
20470 | Only heat distinguishes past from future [Rovelli] |