110 ideas
6095 | The business of metaphysics is to describe the world [Russell] |
14456 | 'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell] |
6106 | Reducing entities and premisses makes error less likely [Russell] |
14426 | A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell] |
8468 | The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein] |
6090 | Facts make propositions true or false, and are expressed by whole sentences [Russell] |
18348 | Not only atomic truths, but also general and negative truths, have truth-makers [Russell, by Rami] |
14454 | An argument 'satisfies' a function φx if φa is true [Russell] |
14453 | The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell] |
6103 | Normally a class with only one member is a problem, because the class and the member are identical [Russell] |
14427 | We can enumerate finite classes, but an intensional definition is needed for infinite classes [Russell] |
14428 | Members define a unique class, whereas defining characteristics are numerous [Russell] |
14447 | Infinity says 'for any inductive cardinal, there is a class having that many terms' [Russell] |
14440 | We may assume that there are infinite collections, as there is no logical reason against them [Russell] |
14443 | The British parliament has one representative selected from each constituency [Russell] |
14445 | Choice shows that if any two cardinals are not equal, one must be the greater [Russell] |
14444 | Choice is equivalent to the proposition that every class is well-ordered [Russell] |
14446 | We can pick all the right or left boots, but socks need Choice to insure the representative class [Russell] |
14459 | Reducibility: a family of functions is equivalent to a single type of function [Russell] |
14461 | Propositions about classes can be reduced to propositions about their defining functions [Russell] |
8469 | Russell's proposal was that only meaningful predicates have sets as their extensions [Russell, by Orenstein] |
8745 | Classes are logical fictions, and are not part of the ultimate furniture of the world [Russell] |
6548 | Physicalism requires the naturalisation or rejection of set theory [Lycan] |
14452 | All the propositions of logic are completely general [Russell] |
14462 | In modern times, logic has become mathematical, and mathematics has become logical [Russell] |
14464 | Logic can be known a priori, without study of the actual world [Russell] |
10057 | Logic can only assert hypothetical existence [Russell] |
12444 | Logic is concerned with the real world just as truly as zoology [Russell] |
6092 | In a logically perfect language, there will be just one word for every simple object [Russell] |
6101 | Romulus does not occur in the proposition 'Romulus did not exist' [Russell] |
6102 | You can understand 'author of Waverley', but to understand 'Scott' you must know who it applies to [Russell] |
10423 | There are a set of criteria for pinning down a logically proper name [Russell, by Sainsbury] |
14458 | Asking 'Did Homer exist?' is employing an abbreviated description [Russell] |
7744 | Treat description using quantifiers, and treat proper names as descriptions [Russell, by McCullogh] |
10450 | Russell admitted that even names could also be used as descriptions [Russell, by Bach] |
14457 | Names are really descriptions, except for a few words like 'this' and 'that' [Russell] |
10426 | A name has got to name something or it is not a name [Russell] |
7311 | The only genuine proper names are 'this' and 'that' [Russell] |
14455 | 'I met a unicorn' is meaningful, and so is 'unicorn', but 'a unicorn' is not [Russell] |
14442 | If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell] |
14438 | New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell] |
13510 | Could a number just be something which occurs in a progression? [Russell, by Hart,WD] |
14436 | A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell] |
14439 | A complex number is simply an ordered couple of real numbers [Russell] |
14421 | Discovering that 1 is a number was difficult [Russell] |
14424 | Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell] |
14441 | The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell] |
14420 | Infinity and continuity used to be philosophy, but are now mathematics [Russell] |
14431 | The definition of order needs a transitive relation, to leap over infinite intermediate terms [Russell] |
14422 | Any founded, non-repeating series all reachable in steps will satisfy Peano's axioms [Russell] |
14423 | '0', 'number' and 'successor' cannot be defined by Peano's axioms [Russell] |
14425 | A number is something which characterises collections of the same size [Russell] |
14434 | What matters is the logical interrelation of mathematical terms, not their intrinsic nature [Russell] |
14465 | Maybe numbers are adjectives, since 'ten men' grammatically resembles 'white men' [Russell] |
13414 | For Russell, numbers are sets of equivalent sets [Russell, by Benacerraf] |
6104 | Numbers are classes of classes, and hence fictions of fictions [Russell] |
14449 | There is always something psychological about inference [Russell] |
14463 | Existence can only be asserted of something described, not of something named [Russell] |
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] |
21708 | Russell's new logical atomist was of particulars, universals and facts (not platonic propositions) [Russell, by Linsky,B] |
19051 | Russell's atomic facts are actually compounds, and his true logical atoms are sense data [Russell, by Quine] |
6089 | Logical atomism aims at logical atoms as the last residue of analysis [Russell] |
6100 | Once you have enumerated all the atomic facts, there is a further fact that those are all the facts [Russell] |
6105 | Logical atoms aims to get down to ultimate simples, with their own unique reality [Russell] |
14429 | Classes are logical fictions, made from defining characteristics [Russell] |
21709 | You can't name all the facts, so they are not real, but are what propositions assert [Russell] |
18376 | Russell asserts atomic, existential, negative and general facts [Russell, by Armstrong] |
5465 | Modern trope theory tries, like logical atomism, to reduce things to elementary states [Russell, by Ellis] |
6060 | 'Existence' means that a propositional function is sometimes true [Russell] |
6529 | I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan] |
14430 | If a relation is symmetrical and transitive, it has to be reflexive [Russell] |
14432 | 'Asymmetry' is incompatible with its converse; a is husband of b, so b can't be husband of a [Russell] |
14435 | The essence of individuality is beyond description, and hence irrelevant to science [Russell] |
6099 | Modal terms are properties of propositional functions, not of propositions [Russell] |
12197 | Inferring q from p only needs p to be true, and 'not-p or q' to be true [Russell] |
14450 | All forms of implication are expressible as truth-functions [Russell] |
14460 | If something is true in all possible worlds then it is logically necessary [Russell] |
6549 | I think greenness is a complex microphysical property of green objects [Lycan] |
6098 | Perception goes straight to the fact, and not through the proposition [Russell] |
14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
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] |
6097 | The theory of error seems to need the existence of the non-existent [Russell] |
9022 | Russell uses 'propositional function' to refer to both predicates and to attributes [Quine on Russell] |
6091 | Propositions don't name facts, because each fact corresponds to a proposition and its negation [Russell] |
14451 | Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell] |
21702 | In 1918 still believes in nonlinguistic analogues of sentences, but he now calls them 'facts' [Russell, by Quine] |
6094 | An inventory of the world does not need to include propositions [Russell] |
6096 | I no longer believe in propositions, especially concerning falsehoods [Russell] |
21712 | I know longer believe in shadowy things like 'that today is Wednesday' when it is actually Tuesday [Russell] |
6093 | The names in a logically perfect language would be private, and could not be shared [Russell] |
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] |
6119 | You can discuss 'God exists', so 'God' is a description, not a name [Russell] |