22 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
7454 | Gassendi is the first great empiricist philosopher [Hacking] |
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] |
7447 | Probability was fully explained between 1654 and 1812 [Hacking] |
7448 | Probability is statistical (behaviour of chance devices) or epistemological (belief based on evidence) [Hacking] |
7449 | Epistemological probability based either on logical implications or coherent judgments [Hacking] |
17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
7450 | In the medieval view, only deduction counted as true evidence [Hacking] |
7451 | Formerly evidence came from people; the new idea was that things provided evidence [Hacking] |
17639 | Believing a whole science is more than believing each of its propositions [Russell] |
7452 | An experiment is a test, or an adventure, or a diagnosis, or a dissection [Hacking, by PG] |
17631 | Induction is inferring premises from consequences [Russell] |
7459 | Follow maths for necessary truths, and jurisprudence for contingent truths [Hacking] |
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] |