16 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] |
18253 | I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege] |
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] |
18166 | The loss of my Rule V seems to make foundations for arithmetic impossible [Frege] |
18269 | Logical objects are extensions of concepts, or ranges of values of functions [Frege] |
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] |
23873 | Dividing history books into separate chapters is disastrous [Weil] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |