21 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] |
| 3745 | Must sentences make statements to qualify for truth? [O'Connor] |
| 3742 | Beliefs must match facts, but also words must match beliefs [O'Connor] |
| 3744 | The semantic theory requires sentences as truth-bearers, not propositions [O'Connor] |
| 3749 | What does 'true in English' mean? [O'Connor] |
| 3746 | Logic seems to work for unasserted sentences [O'Connor] |
| 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] |
| 3747 | Events are fast changes which are of interest to us [O'Connor] |
| 3743 | We can't contemplate our beliefs until we have expressed them [O'Connor] |
| 3748 | Without language our beliefs are particular and present [O'Connor] |
| 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] |
| 17631 | Induction is inferring premises from consequences [Russell] |
| 3284 | There is no one theory of how to act (or what to believe) [Nagel] |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |