121 ideas
3600 | Slow and accurate thought makes the greatest progress [Descartes] |
3601 | Most things in human life seem vain and useless [Descartes] |
3602 | Almost every daft idea has been expressed by some philosopher [Descartes] |
14456 | 'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell] |
3603 | Methodical thinking is cautious, analytical, systematic, and panoramic [Descartes, by PG] |
14426 | A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell] |
3612 | Clear and distinct conceptions are true because a perfect God exists [Descartes] |
8468 | The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein] |
3610 | Truth is clear and distinct conception - of which it is hard to be sure [Descartes] |
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] |
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] |
14452 | All the propositions of logic are completely general [Russell] |
14462 | In modern times, logic has become mathematical, and mathematics has become logical [Russell] |
10057 | Logic can only assert hypothetical existence [Russell] |
12444 | Logic is concerned with the real world just as truly as zoology [Russell] |
14464 | Logic can be known a priori, without study of the actual world [Russell] |
14458 | Asking 'Did Homer exist?' is employing an abbreviated description [Russell] |
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] |
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] |
6653 | Syntactical methods of proof need only structure, where semantic methods (truth-tables) need truth [Lowe] |
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] |
14449 | There is always something psychological about inference [Russell] |
14463 | Existence can only be asserted of something described, not of something named [Russell] |
14429 | Classes are logical fictions, made from defining characteristics [Russell] |
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] |
6618 | A 'substance' is a thing that remains the same when its properties change [Lowe] |
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] |
3605 | We can believe a thing without knowing we believe it [Descartes] |
6635 | Causal theories of belief make all beliefs true, and can't explain belief about the future [Lowe] |
1583 | In morals Descartes accepts the conventional, but rejects it in epistemology [Roochnik on Descartes] |
3607 | In thinking everything else false, my own existence remains totally certain [Descartes] |
6619 | Perhaps 'I' no more refers than the 'it' in 'it is raining' [Lowe] |
6643 | 'Ecological' approaches say we don't infer information, but pick it up directly from reality [Lowe] |
3617 | I aim to find the principles and causes of everything, using the seeds within my mind [Descartes] |
6638 | One must be able to visually recognise a table, as well as knowing its form [Lowe] |
6644 | Computationalists object that the 'ecological' approach can't tell us how we get the information [Lowe] |
6647 | Comparing shapes is proportional in time to the angle of rotation [Lowe] |
6639 | The 'disjunctive' theory of perception says true perceptions and hallucinations need have nothing in common [Lowe] |
6640 | A causal theorist can be a direct realist, if all objects of perception are external [Lowe] |
6645 | If blindsight shows we don't need perceptual experiences, the causal theory is wrong [Lowe] |
6637 | How could one paraphrase very complex sense-data reports adverbially? [Lowe] |
3611 | Understanding, rather than imagination or senses, gives knowledge [Descartes] |
6667 | There are memories of facts, memories of practical skills, and autobiographical memory [Lowe] |
3606 | I was searching for reliable rock under the shifting sand [Descartes] |
6642 | Psychologists say illusions only occur in unnatural and passive situations [Lowe] |
3604 | When rebuilding a house, one needs alternative lodgings [Descartes] |
3618 | Only experiments can settle disagreements between rival explanations [Descartes] |
14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
6641 | Externalists say minds depend on environment for their very existence and identity [Lowe] |
6617 | The main questions are: is mind distinct from body, and does it have unique properties? [Lowe] |
3615 | Little reason is needed to speak, so animals have no reason at all [Descartes] |
6626 | 'Phenomenal' consciousness is of qualities; 'apperceptive' consciousness includes beliefs and desires [Lowe] |
6646 | The brain may have two systems for vision, with only the older one intact in blindsight [Lowe] |
6665 | Persons are selves - subjects of experience, with reflexive self-knowledge [Lowe] |
3609 | I am a thinking substance, which doesn't need a place or material support [Descartes] |
6670 | If my brain could survive on its own, I cannot be identical with my whole body [Lowe] |
6671 | It seems impossible to get generally applicable mental concepts from self-observation [Lowe] |
6666 | All human languages have an equivalent of the word 'I' [Lowe] |
3608 | I can deny my body and the world, but not my own existence [Descartes] |
3613 | Reason is universal in its responses, but a physical machine is constrained by its organs [Descartes] |
3616 | The soul must unite with the body to have appetites and sensations [Descartes] |
6625 | If qualia are causally inert, how can we even know about them? [Lowe] |
6621 | You can only identify behaviour by ascribing belief, so the behaviour can't explain the belief [Lowe] |
6654 | A computer program is equivalent to the person AND the manual [Lowe] |
6629 | Functionalism commits us to bizarre possibilities, such as 'zombies' [Lowe] |
6623 | Functionalism can't distinguish our experiences in spectrum inversion [Lowe] |
6628 | Functionalism only discusses relational properties of mental states, not intrinsic properties [Lowe] |
6622 | Non-reductive physicalism accepts token-token identity (not type-type) and asserts 'supervenience' of mind and brain [Lowe] |
6634 | Physicalists must believe in narrow content (because thoughts are merely the brain states) [Lowe] |
6630 | Eliminativism is incoherent if it eliminates reason and truth as well as propositional attitudes [Lowe] |
6648 | Some behaviourists believe thought is just suppressed speech [Lowe] |
6651 | People are wildly inaccurate in estimating probabilities about an observed event [Lowe] |
6652 | 'Base rate neglect' makes people favour the evidence over its background [Lowe] |
6655 | The 'Frame Problem' is how to program the appropriate application of general knowledge [Lowe] |
6657 | Computers can't be rational, because they lack motivation and curiosity [Lowe] |
3614 | A machine could speak in response to physical stimulus, but not hold a conversation [Descartes] |
6656 | The Turing test is too behaviourist, and too verbal in its methods [Lowe] |
6636 | The naturalistic views of how content is created are the causal theory and the teleological theory [Lowe] |
6633 | Twin Earth cases imply that even beliefs about kinds of stuff are indexical [Lowe] |
14451 | Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell] |
6632 | The same proposition provides contents for the that-clause of an utterance and a belief [Lowe] |
6631 | If propositions are abstract entities, how can minds depend on their causal powers? [Lowe] |
6659 | The three main theories of action involve the will, or belief-plus-desire, or an agent [Lowe] |
6661 | Libet gives empirical support for the will, as a kind of 'executive' mental operation [Lowe] |
6662 | We feel belief and desire as reasons for choice, not causes of choice [Lowe] |
6663 | People's actions are explained either by their motives, or their reasons, or the causes [Lowe] |
1581 | Greeks elevate virtues enormously, but never explain them [Descartes] |
16686 | God has established laws throughout nature, and implanted ideas of them within us [Descartes] |