21 ideas
23326 | In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M] |
23335 | In late antiquity nearly all philosophers were monotheists [Frede,M] |
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] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
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] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
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] |
23333 | The idea of free will achieved universal acceptance because of Christianity [Frede,M] |
23337 | The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M] |
23334 | For Christians man has free will by creation in God's image (as in Genesis) [Frede,M] |
23336 | There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
23313 | The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M] |