33 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] |
| 15957 | Essential definitions show the differences that discriminate things, and make them what they are [Boyle] |
| 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] |
| 15965 | Boyle attacked a contemporary belief that powers were occult things [Boyle, by Alexander,P] |
| 16735 | In the 17th century, 'disposition' usually just means the spatial arrangement of parts [Boyle, by Pasnau] |
| 16034 | Form is not a separate substance, but just the manner, modification or 'stamp' of matter [Boyle] |
| 15953 | To cite a substantial form tells us what produced the effect, but not how it did it [Boyle] |
| 20189 | Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume] |
| 17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
| 15962 | Boyle's term 'texture' is not something you feel, but is unobservable structures of particles [Boyle, by Alexander,P] |
| 15964 | Boyle's secondary qualities are not illusory, or 'in the mind' [Boyle, by Alexander,P] |
| 21309 | A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume] |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| 17631 | Induction is inferring premises from consequences [Russell] |
| 15960 | Explanation is deducing a phenomenon from some nature better known to us [Boyle] |
| 15755 | Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume] |
| 5323 | Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume] |
| 21311 | Are self and substance the same? Then how can self remain if substance changes? [Hume] |
| 21312 | Perceptions are distinct, so no connection between them can ever be discovered [Hume] |
| 21308 | We have no impression of the self, and we therefore have no idea of it [Hume] |
| 21310 | Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume] |
| 23115 | We have no natural love of mankind, other than through various relationships [Hume] |
| 15952 | The corpuscles just have shape, size and motion, which explains things without 'sympathies' or 'forces' [Boyle, by Alexander,P] |
| 15972 | The corpuscular theory allows motion, but does not include forces between the particles [Boyle, by Alexander,P] |
| 16946 | Causation is just invariance, as long as it is described in general terms [Quine on Hume] |
| 15250 | If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume] |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |