20 ideas
| 17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
| 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] |
| 22664 | I do not care if my trivial beliefs are false, and I have no interest in many truths [Nozick] |
| 22665 | Maybe James was depicting the value of truth, and not its nature [Nozick] |
| 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] |
| 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] |
| 579 | Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle] |
| 17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| 578 | Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle] |
| 17631 | Induction is inferring premises from consequences [Russell] |
| 22663 | Rationality is normally said to concern either giving reasons, or reliability [Nozick] |
| 22662 | In the instrumental view of rationality it only concerns means, and not ends [Nozick] |
| 22666 | Is it rational to believe a truth which leads to permanent misery? [Nozick] |
| 22667 | Rationality needs some self-consciousness, to also evaluate how we acquired our reasons [Nozick] |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |