99 ideas
| 3426 | If one theory is reduced to another, we make fewer independent assumptions about the world [Kim] |
| 9724 | Until the 1960s the only semantics was truth-tables [Enderton] |
| 9703 | 'dom R' indicates the 'domain' of objects having a relation [Enderton] |
| 9705 | 'fld R' indicates the 'field' of all objects in the relation [Enderton] |
| 9704 | 'ran R' indicates the 'range' of objects being related to [Enderton] |
| 9710 | We write F:A→B to indicate that A maps into B (the output of F on A is in B) [Enderton] |
| 9707 | 'F(x)' is the unique value which F assumes for a value of x [Enderton] |
| 9712 | A relation is 'symmetric' on a set if every ordered pair has the relation in both directions [Enderton] |
| 9713 | A relation is 'transitive' if it can be carried over from two ordered pairs to a third [Enderton] |
| 9699 | The 'powerset' of a set is all the subsets of a given set [Enderton] |
| 9700 | Two sets are 'disjoint' iff their intersection is empty [Enderton] |
| 9702 | A 'domain' of a relation is the set of members of ordered pairs in the relation [Enderton] |
| 9701 | A 'relation' is a set of ordered pairs [Enderton] |
| 9706 | A 'function' is a relation in which each object is related to just one other object [Enderton] |
| 9708 | A function 'maps A into B' if the relating things are set A, and the things related to are all in B [Enderton] |
| 9709 | A function 'maps A onto B' if the relating things are set A, and the things related to are set B [Enderton] |
| 9711 | A relation is 'reflexive' on a set if every member bears the relation to itself [Enderton] |
| 9714 | A relation satisfies 'trichotomy' if all pairs are either relations, or contain identical objects [Enderton] |
| 9717 | A set is 'dominated' by another if a one-to-one function maps the first set into a subset of the second [Enderton] |
| 9715 | An 'equivalence relation' is a reflexive, symmetric and transitive binary relation [Enderton] |
| 9716 | We 'partition' a set into distinct subsets, according to each relation on its objects [Enderton] |
| 9722 | Inference not from content, but from the fact that it was said, is 'conversational implicature' [Enderton] |
| 9718 | Validity is either semantic (what preserves truth), or proof-theoretic (following procedures) [Enderton] |
| 9721 | A logical truth or tautology is a logical consequence of the empty set [Enderton] |
| 9994 | A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton] |
| 9719 | A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton] |
| 9720 | A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton] |
| 9995 | Proof in finite subsets is sufficient for proof in an infinite set [Enderton] |
| 9996 | Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton] |
| 9997 | For a reasonable language, the set of valid wff's can always be enumerated [Enderton] |
| 3431 | Supervenience suggest dependence without reduction (e.g. beauty) [Kim] |
| 3437 | 'Physical facts determine all the facts' is the physicalists' slogan [Kim] |
| 3430 | Resemblance or similarity is the core of our concept of a property [Kim] |
| 3432 | Is weight a 'resultant' property of water, but transparency an 'emergent' property? [Kim] |
| 3434 | Emergent properties are 'brute facts' (inexplicable), but still cause things [Kim] |
| 3436 | Should properties be individuated by their causal powers? [Kim] |
| 9723 | Sentences with 'if' are only conditionals if they can read as A-implies-B [Enderton] |
| 3406 | Counterfactuals are either based on laws, or on nearby possible worlds [Kim, by PG] |
| 3368 | Mind is basically qualities and intentionality, but how do they connect? [Kim] |
| 3392 | Mind is only interesting if it has causal powers [Kim] |
| 3396 | Experiment requires mental causation [Kim] |
| 3397 | Beliefs cause other beliefs [Kim] |
| 3367 | Both thought and language have intentionality [Kim] |
| 3365 | Intentionality involves both reference and content [Kim] |
| 3360 | Are pains pure qualia, or do they motivate? [Kim] |
| 3366 | Pain has no reference or content [Kim] |
| 3389 | Inverted qualia and zombies suggest experience isn't just functional [Kim] |
| 3391 | Crosswiring would show that pain and its function are separate [Kim, by PG] |
| 3422 | Externalism about content makes introspection depend on external evidence [Kim] |
| 3412 | How do we distinguish our anger from embarrassment? [Kim] |
| 3363 | We often can't decide what emotion, or even sensation, we are experiencing [Kim] |
| 3409 | Mental substance causation makes physics incomplete [Kim] |
| 3399 | If epiphenomenalism were true, we couldn't report consciousness [Kim] |
| 3390 | Are inverted or absent qualia coherent ideas? [Kim] |
| 3414 | What could demonstrate that zombies and inversion are impossible? [Kim] |
| 3359 | Cartesian dualism fails because it can't explain mental causation [Kim] |
| 3369 | Logical behaviourism translates mental language to behavioural [Kim] |
| 3428 | Behaviourism reduces mind to behaviour via bridging principles [Kim] |
| 3380 | Are dispositions real, or just a type of explanation? [Kim] |
| 3371 | Behaviour depends on lots of mental states together [Kim] |
| 3372 | Behaviour is determined by society as well as mental states [Kim] |
| 3373 | Snakes have different pain behaviour from us [Kim] |
| 3370 | What behaviour goes with mathematical beliefs? [Kim] |
| 3379 | Neurons seem to be very similar and interchangeable [Kim] |
| 3388 | Machine functionalism requires a Turing machine, causal-theoretical version doesn't [Kim] |
| 3384 | The person couldn't run Searle's Chinese Room without understanding Chinese [Kim] |
| 3393 | How do functional states give rise to mental causation? [Kim] |
| 3427 | Reductionism is impossible if there aren't any 'bridge laws' between mental and physical [Kim] |
| 3439 | Reductionism gets stuck with qualia [Kim] |
| 3424 | Most modern physicalists are non-reductive property dualists [Kim] |
| 3376 | We can't assess evidence about mind without acknowledging phenomenal properties [Kim] |
| 3362 | Supervenience says all souls are identical, being physically indiscernible [Kim] |
| 3413 | Zombies and inversion suggest non-reducible supervenience [Kim] |
| 3374 | Token physicalism isn't reductive; it just says all mental events have some physical properties [Kim] |
| 3433 | The core of the puzzle is the bridge laws between mind and brain [Kim] |
| 3377 | Elimination can either be by translation or by causal explanation [Kim] |
| 3438 | Reductionists deny new causal powers at the higher level [Kim] |
| 3440 | Without reductionism, mental causation is baffling [Kim] |
| 3375 | If an orange image is a brain state, are some parts of the brain orange? [Kim] |
| 3411 | How do we distinguish our attitudes from one another? [Kim] |
| 3386 | Folk psychology has been remarkably durable [Kim] |
| 3394 | Maybe folk psychology is a simulation, not a theory [Kim] |
| 3387 | A culture without our folk psychology would be quite baffling [Kim] |
| 3410 | Folk psychology has adapted to Freudianism [Kim] |
| 3382 | A machine with a mind might still fail the Turing Test [Kim] |
| 3383 | The Turing Test is too specifically human in its requirements [Kim] |
| 3408 | Two identical brain states could have different contents in different worlds [Kim] |
| 3420 | Two types of water are irrelevant to accounts of behaviour [Kim] |
| 3418 | 'Arthritis in my thigh' requires a social context for its content to be meaningful [Kim] |
| 3421 | Content is best thought of as truth conditions [Kim] |
| 3416 | Content may match several things in the environment [Kim] |
| 3419 | Pain, our own existence, and negative existentials, are not external [Kim] |
| 3417 | Content depends on other content as well as the facts [Kim] |
| 3403 | We assume people believe the obvious logical consequences of their known beliefs [Kim] |
| 3402 | If someone says "I do and don't like x", we don't assume a contradiction [Kim] |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| 3401 | A common view is that causal connections must be instances of a law [Kim] |
| 3407 | Laws are either 'strict', or they involve a 'ceteris paribus' clause [Kim] |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |