42 ideas
6548 | Physicalism requires the naturalisation or rejection of set theory [Lycan] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
6531 | Institutions are not reducible as types, but they are as tokens [Lycan] |
6532 | Types cannot be reduced, but levels of reduction are varied groupings of the same tokens [Lycan] |
6534 | One location may contain molecules, a metal strip, a key, an opener of doors, and a human tragedy [Lycan] |
6529 | I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan] |
6549 | I think greenness is a complex microphysical property of green objects [Lycan] |
22449 | When we say 'is red' we don't mean 'seems red to most people' [Foot] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
6543 | Intentionality comes in degrees [Lycan] |
6537 | Teleological views allow for false intentional content, unlike causal and nomological theories [Lycan] |
6546 | Pain is composed of urges, desires, impulses etc, at different levels of abstraction [Lycan] |
6547 | The right 'level' for qualia is uncertain, though top (behaviourism) and bottom (particles) are false [Lycan] |
6527 | If energy in the brain disappears into thin air, this breaches physical conservation laws [Lycan] |
6528 | In lower animals, psychology is continuous with chemistry, and humans are continuous with animals [Lycan] |
6554 | Two behaviourists meet. The first says,"You're fine; how am I?" [Lycan] |
6545 | If functionalism focuses on folk psychology, it ignores lower levels of function [Lycan] |
6541 | Functionalism must not be too abstract to allow inverted spectrum, or so structural that it becomes chauvinistic [Lycan] |
6539 | The distinction between software and hardware is not clear in computing [Lycan] |
6533 | Mental types are a subclass of teleological types at a high level of functional abstraction [Lycan] |
6535 | Teleological characterisations shade off smoothly into brutely physical ones [Lycan] |
6544 | Identity theory is functionalism, but located at the lowest level of abstraction [Lycan] |
6530 | We reduce the mind through homuncular groups, described abstractly by purpose [Lycan] |
6536 | Teleological functionalism helps us to understand psycho-biological laws [Lycan] |
6542 | A Martian may exhibit human-like behaviour while having very different sensations [Lycan] |
22451 | All people need affection, cooperation, community and help in trouble [Foot] |
22452 | Do we have a concept of value, other than wanting something, or making an effort to get it? [Foot] |
6538 | We need a notion of teleology that comes in degrees [Lycan] |
6551 | 'Physical' means either figuring in physics descriptions, or just located in space-time [Lycan] |