31 ideas
| 17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
| 17729 | Examining concepts can recover information obtained through the senses [Jenkins] |
| 17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
| 17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
| 17740 | Instead of correspondence of proposition to fact, look at correspondence of its parts [Jenkins] |
| 17629 | Which premises are ultimate varies with context [Russell] |
| 17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
| 17640 | Finding the axioms may be the only route to some new results [Russell] |
| 17730 | Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins] |
| 17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
| 17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
| 17719 | Arithmetic concepts are indispensable because they accurately map the world [Jenkins] |
| 17717 | Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins] |
| 17724 | It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins] |
| 17727 | We can learn about the world by studying the grounding of our concepts [Jenkins] |
| 17720 | There's essential, modal, explanatory, conceptual, metaphysical and constitutive dependence [Jenkins, by PG] |
| 17728 | The concepts we have to use for categorising are ones which map the real world well [Jenkins] |
| 17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
| 17726 | Examining accurate, justified or grounded concepts brings understanding of the world [Jenkins] |
| 17734 | It is not enough that intuition be reliable - we need to know why it is reliable [Jenkins] |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| 17723 | Knowledge is true belief which can be explained just by citing the proposition believed [Jenkins] |
| 17631 | Induction is inferring premises from consequences [Russell] |
| 17718 | Grounded concepts are trustworthy maps of the world [Jenkins] |
| 17739 | The physical effect of world on brain explains the concepts we possess [Jenkins] |
| 17731 | Verificationism is better if it says meaningfulness needs concepts grounded in the senses [Jenkins] |
| 17732 | Success semantics explains representation in terms of success in action [Jenkins] |
| 17725 | 'Analytic' can be conceptual, or by meaning, or predicate inclusion, or definition... [Jenkins] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |