26 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
17651 | Without words or other symbols, we have no world [Goodman] |
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] |
17652 | Truth is irrelevant if no statements are involved [Goodman] |
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] |
17656 | Being primitive or prior always depends on a constructional system [Goodman] |
17661 | We don't recognise patterns - we invent them [Goodman] |
17659 | Reality is largely a matter of habit [Goodman] |
17657 | We build our world, and ignore anything that won't fit [Goodman] |
17654 | A world can be full of variety or not, depending on how we sort it [Goodman] |
17653 | Things can only be judged the 'same' by citing some respect of sameness [Goodman] |
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] |
17660 | Discovery is often just finding a fit, like a jigsaw puzzle [Goodman] |
17658 | Users of digital thermometers recognise no temperatures in the gaps [Goodman] |
17650 | We lack frames of reference to transform physics, biology and psychology into one another [Goodman] |
17631 | Induction is inferring premises from consequences [Russell] |
17655 | Grue and green won't be in the same world, as that would block induction entirely [Goodman] |
16009 | When we seek our own 'freedom' we are just trying to avoid responsibility [Kierkegaard] |
17649 | If the world is one it has many aspects, and if there are many worlds they will collect into one [Goodman] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |