21 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
6253 | Reason is our power of finding out true propositions [Hutcheson] |
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] |
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] |
6256 | Can't the moral sense make mistakes, as the other senses do? [Hutcheson] |
6252 | Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson] |
21093 | Friendship without community spirit misses out on the main part of virtue [Hume] |
6257 | You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson] |
21091 | It would be absurd if even a free constitution did not impose restraints, for the public good [Hume] |
21092 | Nobility either share in the power of the whole, or they compose the power of the whole [Hume] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
6254 | We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson] |
6255 | Why may God not have a superior moral sense very similar to ours? [Hutcheson] |