22 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
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] |
22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
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] |
22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
17631 | Induction is inferring premises from consequences [Russell] |
22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
22156 | The facts about human health are the measure of the values in our lives [Boulter] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |