20 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] |
6222 | If a decision is in accord with right reason, everyone can agree with it [Cumberland] |
17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
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] |
6217 | Natural law is supplied to the human mind by reality and human nature [Cumberland] |
6221 | If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland] |
6218 | The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland] |
6220 | The happiness of all contains the happiness of each, and promotes it [Cumberland] |
6216 | Natural law is immutable truth giving moral truths and duties independent of society [Cumberland] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |