66 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] |
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] |
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] |
16528 | Mechanisms are not just push-pull systems [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] |
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] |
4669 | Persons are conscious, they relate, they think, they feel, and they are self-aware [Glover] |
4656 | A problem arises in any moral system that allows more than one absolute right [Glover] |
4657 | Double Effect: no bad acts with good consequences, but possibly good acts despite bad consequences [Glover] |
4658 | Acts and Omissions: bad consequences are morally better if they result from an omission rather than an act [Glover] |
4659 | It doesn't seem worse to switch off a life-support machine than to forget to switch it on [Glover] |
4660 | Harmful omissions are unavoidable, while most harmful acts can be avoided [Glover] |
4661 | What matters is not intrinsic value of life or rights, but worthwhile and desired life, and avoidance of pain [Glover] |
4648 | 'Death' is best seen as irreversible loss of consciousness, since this is why we care about brain function [Glover] |
3785 | You can't separate acts from the people performing them [Glover] |
3786 | Aggression in defence may be beneficial but morally corrupting [Glover] |
4650 | The quality of a life is not altogether independent of its length [Glover] |
3784 | Duty prohibits some acts, whatever their consequences [Glover] |
3782 | Satisfaction of desires is not at all the same as achieving happiness [Glover, by PG] |
3787 | Rule-utilitarianism is either act-utilitarianism, or not really utilitarian [Glover] |
3783 | How can utilitarianism decide the ideal population size? [Glover] |
4675 | The sanctity of life doctrine implies a serious increase of abnormality among the population [Glover] |
4654 | Autonomy favours present opinions over future ones, and says nothing about the interests of potential people [Glover] |
4655 | If a whole community did not mind death, respect for autonomy suggests that you could kill them all [Glover] |
4680 | Autonomy seems to acquire greater weight when the decision is more important to a person [Glover] |
4670 | Being alive is not intrinsically good, and there is no 'right to life' [Glover] |
4668 | You can't have a right to something you can't desire, so a foetus has no 'right' to life [Glover] |
4651 | Utilitarians object to killing directly (pain, and lost happiness), and to side-effects (loss to others, and precedents) [Glover] |
4671 | What is wrong with killing someone, if another equally worthwhile life is substituted? [Glover] |
4676 | The 'no trade-off' position: killing is only justified if it prevents other deaths [Glover] |
4649 | If someone's life is 'worth living', that gives one direct reason not to kill him [Glover] |
4685 | Societies spend a lot to save known persons, but very little to reduce fatal accidents [Glover] |
4683 | Involuntary euthanasia is wrong because it violates autonomy, and it has appalling side-effects [Glover] |
4682 | Euthanasia is voluntary (patient's wish), or involuntary (ignore wish), or non-voluntary (no wish possible) [Glover] |
4684 | Maybe extreme treatment is not saving life, but prolonging the act of dying [Glover] |
4681 | The Nazi mass murders seem to have originated in their euthanasia programme [Glover] |
4665 | Conception isn't the fixed boundary for a person's beginning, because twins are possible within two weeks [Glover] |
4667 | How would we judge abortion if mothers had transparent wombs? [Glover] |
4652 | If killing is wrong because it destroys future happiness, not conceiving a happy child is also wrong [Glover] |
4662 | Defenders of abortion focus on early pregnancy, while opponents focus on later stages [Glover] |
4663 | If abortion is wrong, it is because a foetus is a human being or a person (or potentially so) [Glover] |
4664 | If abortion is wrong because of the 'potential' person, that makes contraception wrong too [Glover] |
4673 | Abortion differs morally from deliberate non-conception only in its side-effects [Glover] |
4666 | If viability is a test or boundary at the beginning of life, it should also be so for frail old people [Glover] |
4672 | Apart from side effects, it seems best to replace an inadequate foetus with one which has a better chance [Glover] |
4674 | It is always right for a qualified person to perform an abortion when requested by the mother [Glover] |
4679 | One test for a worthwhile life is to assess the amount of life for which you would rather be unconscious [Glover] |
16558 | Laws of nature have very little application in biology [Machamer/Darden/Craver] |