25 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] |
20320 | Truth is what unites, and the profound truths create a community [Jaspers] |
17640 | Finding the axioms may be the only route to some new results [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] |
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] |
20323 | Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers] |
20322 | I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers] |
20324 | My freedom increases as I broaden my vision of possiblities and motives [Jaspers] |
20321 | The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers] |
20318 | My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers] |
20325 | Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers] |
20315 | 'Existenz' is the potential being, which I could have, and ought to have [Jaspers] |
20317 | Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers] |
20319 | We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers] |
20316 | Every decision I make moves towards or away from fulfilled Existenz [Jaspers] |
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] |