25 ideas
22496 | Wisdom only implies the knowledge achievable in any normal lifetime [Foot] |
18170 | The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine] |
10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
23694 | All criterions of practical rationality derive from goodness of will [Foot] |
23686 | Moral reason is not just neutral, because morality is part of the standard of rationality [Foot, by Hacker-Wright] |
23693 | Practical rationality must weigh both what is morally and what is non-morally required [Foot] |
23687 | Moral virtues arise from human nature, as part of what makes us good human beings [Foot, by Hacker-Wright] |
22493 | Sterility is a human defect, but the choice to be childless is not [Foot] |
22492 | Virtues are as necessary to humans as stings are to bees [Foot] |
22491 | Moral evaluations are not separate from facts, but concern particular facts about functioning [Foot] |
22497 | Deep happiness usually comes from the basic things in life [Foot] |
22498 | Happiness is enjoying the pursuit and attainment of right ends [Foot] |
23695 | Good actions can never be justified by the good they brings to their agent [Foot] |
22499 | We all know that just pretending to be someone's friend is not the good life [Foot] |
22495 | Someone is a good person because of their rational will, not their body or memory [Foot] |
22502 | Refraining from murder is not made good by authenticity or self-fulfilment [Foot] |