30 ideas
2945 | Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer] |
2946 | You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer] |
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
16554 | Activities have place, rate, duration, entities, properties, modes, direction, polarity, energy and range [Machamer/Darden/Craver] |
16556 | Penicillin causes nothing; the cause is what penicillin does [Machamer/Darden/Craver] |
16562 | We understand something by presenting its low-level entities and activities [Machamer/Darden/Craver] |
9329 | Justification is coherence with a background system; if irrefutable, it is knowledge [Lehrer] |
16563 | The explanation is not the regularity, but the activity sustaining it [Machamer/Darden/Craver] |
16555 | Functions are not properties of objects, they are activities contributing to mechanisms [Machamer/Darden/Craver] |
16529 | Mechanisms are systems organised to produce regular change [Machamer/Darden/Craver] |
16530 | A mechanism explains a phenomenon by showing how it was produced [Machamer/Darden/Craver] |
16553 | Our account of mechanism combines both entities and activities [Machamer/Darden/Craver] |
16559 | Descriptions of explanatory mechanisms have a bottom level, where going further is irrelevant [Machamer/Darden/Craver] |
16528 | Mechanisms are not just push-pull systems [Machamer/Darden/Craver] |
16564 | There are four types of bottom-level activities which will explain phenomena [Machamer/Darden/Craver] |
16561 | We can abstract by taking an exemplary case and ignoring the detail [Machamer/Darden/Craver] |
9330 | Generalization seems to be more fundamental to minds than spotting similarities [Lehrer] |
9328 | All conscious states can be immediately known when attention is directed to them [Lehrer] |
16558 | Laws of nature have very little application in biology [Machamer/Darden/Craver] |