26 ideas
12619 | We have no successful definitions, because they all use indefinable words [Fodor] |
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] |
12620 | If 'exist' is ambiguous in 'chairs and numbers exist', that mirrors the difference between chairs and numbers [Fodor] |
12613 | Empiricists use dispositions reductively, as 'possibility of sensation' or 'possibility of experimental result' [Fodor] |
12617 | Associationism can't explain how truth is preserved [Fodor] |
12615 | Mental representations are the old 'Ideas', but without images [Fodor] |
6650 | Fodor is now less keen on the innateness of concepts [Fodor, by Lowe] |
12618 | It is essential to the concept CAT that it be satisfied by cats [Fodor] |
12614 | I prefer psychological atomism - that concepts are independent of epistemic capacities [Fodor] |
12621 | Definable concepts have constituents, which are necessary, individuate them, and demonstrate possession [Fodor] |
12622 | Many concepts lack prototypes, and complex prototypes aren't built from simple ones [Fodor] |
12623 | The theory theory can't actually tell us what concepts are [Fodor] |
12616 | English has no semantic theory, just associations between sentences and thoughts [Fodor] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |