52 ideas
21422 | Moral self-knowledge is the beginning of all human wisdom [Kant] |
21408 | For any subject, its system of non-experiential concepts needs a metaphysics [Kant] |
21416 | Philosophers should not offer multiple proofs - suggesting the weakness of each of them [Kant] |
9570 | In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara] |
10260 | Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro] |
8958 | In Field's version of science, space-time points replace real numbers [Field,H, by Szabó] |
18221 | 'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H] |
8757 | The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H] |
18212 | Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H] |
10261 | The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro] |
18218 | Hilbert explains geometry, by non-numerical facts about space [Field,H] |
9623 | Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H] |
18215 | It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H] |
18216 | Abstractions can form useful counterparts to concrete statements [Field,H] |
18214 | Mathematics is only empirical as regards which theory is useful [Field,H] |
18210 | Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H] |
18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
8959 | Field presumes properties can be eliminated from science [Field,H, by Szabó] |
18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
21410 | That a concept is not self-contradictory does not make what it represents possible [Kant] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
21421 | Within nature man is unimportant, but as moral person he is above any price [Kant] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
21415 | Duty is impossible without prior moral feeling, conscience, love and self-respect [Kant] |
21409 | Moral principles do not involve feelings [Kant] |
21431 | The love of man is required in order to present the world as a beautiful and perfect moral whole [Kant] |
21437 | All morality directs the will to love of others' ends, and respect for others' rights [Kant] |
21429 | The duty of love is to makes the ends of others one's own [Kant] |
21411 | A duty of virtue is a duty which is also an end [Kant] |
21413 | Virtue is strong maxims for duty [Kant] |
21414 | The supreme principle of virtue is to find universal laws for ends [Kant] |
21436 | We are obliged to show the social virtues, but at least they make a virtuous disposition fashionable [Kant] |
21419 | If virtue becomes a habit, that is a loss of the freedom needed for adopting maxims [Kant] |
21417 | How do we distinguish a mean? The extremes can involve quite different maxims [Kant] |
21420 | If virtue is the mean between vices, then virtue is just the vanishing of vice [Kant] |
21418 | There is one principle of virtues; the virtues are distinguished by their objects [Kant] |
21425 | We can love without respect, and show respect without love [Kant] |
21427 | Respect is limiting our self-esteem by attending to the human dignity of other persons [Kant] |
21430 | Disrespect is using a person as a mere means to my own ends [Kant] |
21428 | Respect is purely negative (of not exalting oneself over others), and is thus a duty of Right [Kant] |
21426 | Love urges us to get closer to people, but respect to keep our distance [Kant] |
21434 | We must respect the humanity even in a vicious criminal [Kant] |
21412 | Humans are distinguished from animals by their capacity to set themselves any sort of end [Kant] |
21435 | Man is both social, and unsociable [Kant] |
21433 | Violation of rights deserves punishment, which is vengeance, rather than restitution [Kant] |
21423 | Men can only have duties to those who qualify as persons [Kant] |
21424 | Cruelty to animals is bad because it dulls our empathy for pain in humans [Kant] |
22745 | Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus] |
18223 | In theories of fields, space-time points or regions are causal agents [Field,H] |
18220 | Both philosophy and physics now make substantivalism more attractive [Field,H] |
18219 | Relational space is problematic if you take the idea of a field seriously [Field,H] |
5883 | Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero] |