17 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
21552 | Common speech is vague; its vocabulary and syntax must be modified, for precision [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] |
21551 | Empirical words need ostensive definition, which makes them egocentric [Russell] |
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] |
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] |
21550 | Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |