27 ideas
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] |
19284 | Asserting a necessity just expresses our inability to imagine it is false [Blackburn] |
14629 | If we are told the source of necessity, this seems to be a regress if the source is not already necessary [Blackburn] |
14529 | If something underlies a necessity, is that underlying thing necessary or contingent? [Blackburn, by Hale/Hoffmann,A] |
19743 | A notebook counts as memory, if is available to consciousness and guides our actions [Clark/Chalmers] |
6451 | Visual sense data are an inner picture show which represents the world [Blackburn] |
2866 | A true belief might be based on a generally reliable process that failed on this occasion [Blackburn] |
6176 | A mechanism can count as 'cognitive' whether it is in the brain or outside it [Clark/Chalmers, by Rowlands] |
19741 | If something in the world could equally have been a mental process, it is part of our cognition [Clark/Chalmers] |
19742 | Consciousness may not extend beyond the head, but cognition need not be conscious [Clark/Chalmers] |
19744 | If a person relies on their notes, those notes are parted of the extended system which is the person [Clark/Chalmers] |
23996 | Akrasia is intelligible in hindsight, when we revisit our previous emotions [Blackburn] |
11911 | Some philosophers always want more from morality; for others, nature is enough [Blackburn] |
2864 | The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn] |
2865 | Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn] |
23223 | The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn] |