78 ideas
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
12430 | Classical logic is our preconditions for assessing empirical evidence [Kitcher] |
12431 | I believe classical logic because I was taught it and use it, but it could be undermined [Kitcher] |
6298 | Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik] |
12392 | Mathematical a priorism is conceptualist, constructivist or realist [Kitcher] |
18078 | The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher] |
12426 | The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher] |
12395 | Real numbers stand to measurement as natural numbers stand to counting [Kitcher] |
12425 | Complex numbers were only accepted when a geometrical model for them was found [Kitcher] |
18071 | A one-operation is the segregation of a single object [Kitcher] |
18066 | The old view is that mathematics is useful in the world because it describes the world [Kitcher] |
18083 | With infinitesimals, you divide by the time, then set the time to zero [Kitcher] |
18061 | Mathematical intuition is not the type platonism needs [Kitcher] |
12420 | If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher] |
12393 | Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher] |
12387 | Mathematical knowledge arises from basic perception [Kitcher] |
12412 | My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher] |
18065 | We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher] |
18077 | The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher] |
12423 | Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher] |
18068 | Arithmetic is made true by the world, but is also made true by our constructions [Kitcher] |
18069 | Arithmetic is an idealizing theory [Kitcher] |
18070 | We develop a language for correlations, and use it to perform higher level operations [Kitcher] |
18072 | Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher] |
18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
12428 | Many necessities are inexpressible, and unknowable a priori [Kitcher] |
12429 | Knowing our own existence is a priori, but not necessary [Kitcher] |
12390 | A priori knowledge comes from available a priori warrants that produce truth [Kitcher] |
12418 | In long mathematical proofs we can't remember the original a priori basis [Kitcher] |
12389 | Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher] |
12416 | We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher] |
12413 | A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher] |
20473 | If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
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] |
4660 | Harmful omissions are unavoidable, while most harmful acts can be avoided [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] |
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] |
4649 | If someone's life is 'worth living', that gives one direct reason not to kill him [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] |
4685 | Societies spend a lot to save known persons, but very little to reduce fatal accidents [Glover] |
4682 | Euthanasia is voluntary (patient's wish), or involuntary (ignore wish), or non-voluntary (no wish possible) [Glover] |
4683 | Involuntary euthanasia is wrong because it violates autonomy, and it has appalling side-effects [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] |
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] |
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] |
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] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |