27 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] |
| 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] |
| 7544 | Many people imagine that to experience is to understand [Goethe] |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| 7541 | Man never understands how anthropomorphic he is [Goethe] |
| 17631 | Induction is inferring premises from consequences [Russell] |
| 7543 | We gain self-knowledge through action, not thought - especially when doing our duty [Goethe] |
| 7357 | People who control others with fluent language often end up being hated [Kongzi (Confucius)] |
| 7540 | Beauty is a manifestation of secret natural laws [Goethe] |
| 7358 | All men prefer outward appearance to true excellence [Kongzi (Confucius)] |
| 7362 | Humans are similar, but social conventions drive us apart (sages and idiots being the exceptions) [Kongzi (Confucius)] |
| 7538 | The happiest people link the beginning and end of life [Goethe] |
| 7360 | Do not do to others what you would not desire yourself [Kongzi (Confucius)] |
| 7359 | Excess and deficiency are equally at fault [Kongzi (Confucius)] |
| 7363 | The virtues of the best people are humility, maganimity, sincerity, diligence, and graciousness [Kongzi (Confucius)] |
| 7542 | The best form of government teaches us to govern ourselves [Goethe] |
| 7361 | Men of the highest calibre avoid political life completely [Kongzi (Confucius)] |
| 23393 | Confucianism assumes that all good developments have happened, and there is only one Way [Norden on Kongzi (Confucius)] |
| 7539 | To get duties from people without rights, you must pay them well [Goethe] |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |