37 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] |
8628 | I hold that algebra and number are developments of logic [Jevons] |
20547 | We should respect the right of people to live in their own way, even if it is irrational [Swift] |
20564 | Anti-colonial movements usually invoke the right of their 'people' to self-determination [Swift] |
20535 | Isn't it more rational to maximise the average position, but with a safety net? [Swift] |
20537 | Hypothetical contracts have no binding force [Swift] |
20542 | Cosmopolitans reject the right of different states to distribute resources in different ways [Swift] |
20559 | Democracy is bad, but the other systems are worse [Swift] |
20561 | Since all opinions are treated as equal in democracy, it implies there are no right answers [Swift] |
20562 | Design your democracy to treat citizens equally, or to produce better citizens? [Swift] |
20563 | Design your democracy to yield political stability, or good decisions? [Swift] |
20560 | Teledemocracy omits debate and deliberation, which are important parts of good decisions [Swift] |
20554 | Multiculturalism is a barrier to the whole state being a community [Swift] |
20553 | Liberals mistakenly think individuals choose their values, without reference to the community [Swift] |
20556 | The best way to build a cohesive community is to be involved in a war [Swift] |
20557 | Membership and inclusion in a community implies non-membership and exclusion [Swift] |
20555 | Liberals are concerned to protect individuals from too much community [Swift] |
20540 | Redistributing wealth treats some people as means, rather than as ends [Swift] |
20551 | Men have had the power to structure all of our social institutions [Swift] |
20545 | Maybe a freedom is from a restraint, and also in order to do something [Swift] |
20550 | Opportunity should ignore extraneous factors, or foster competence, or ignore all disadvantages [Swift] |
20536 | Inequalities are needed, as incentives to do the most important jobs [Swift] |
20548 | A person can desire redistibution of wealth, without it being for reasons of equality [Swift] |
20541 | You can't necessarily sell your legitimate right to something, even if you produced it [Swift] |
20546 | Libertarians about property ignore the fact that private property is a denial of freedoms [Swift] |
20533 | Justice can be seen as fairness or entitlement or desert [Swift] |