33 ideas
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |
17867 | If a concept is not compact, it will not be presentable to finite minds [Almog] |
18119 | Mathematics is a mental activity which does not use language [Brouwer, by Bostock] |
17877 | The number series is primitive, not the result of some set theoretic axioms [Almog] |
18247 | Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro] |
18118 | Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
8728 | Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer] |
17871 | Fregean meanings are analogous to conceptual essence, defining a kind [Almog] |
17866 | Essential definition aims at existence conditions and structural truths [Almog] |
17868 | Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog] |
17872 | Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog] |
17870 | Alien 'tigers' can't be tigers if they are not related to our tigers [Almog] |
17869 | Kripke and Putnam offer an intermediary between real and nominal essences [Almog] |
17876 | Individual essences are just cobbled together classificatory predicates [Almog] |
9758 | To make sense of personal identity, focus on agency rather than experience [Korsgaard] |
9757 | A person viewed as an agent makes no sense without its own future [Korsgaard] |
17873 | Water must be related to water, just as tigers must be related to tigers [Almog] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
9759 | Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard] |
18678 | Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi] |
18225 | If we can't reason about value, we can reason about the unconditional source of value [Korsgaard] |
18228 | An end can't be an ultimate value just because it is useless! [Korsgaard] |
9760 | Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard] |
18224 | Goodness is given either by a psychological state, or the attribution of a property [Korsgaard] |
9761 | Personal concern for one's own self widens out into concern for the impersonal [Korsgaard] |
18233 | Contemplation is final because it is an activity which is not a process [Korsgaard] |
18226 | For Aristotle, contemplation consists purely of understanding [Korsgaard] |
17864 | Defining an essence comes no where near giving a thing's nature [Almog] |
17863 | Essences promise to reveal reality, but actually drive us away from it [Almog] |