108 ideas
3508 | Correspondence to the facts HAS to be the aim of enquiry [Searle] |
13689 | 'Theorems' are formulas provable from no premises at all [Sider] |
13705 | Truth tables assume truth functionality, and are just pictures of truth functions [Sider] |
13706 | Intuitively, deontic accessibility seems not to be reflexive, but to be serial [Sider] |
13710 | In D we add that 'what is necessary is possible'; then tautologies are possible, and contradictions not necessary [Sider] |
13711 | System B introduces iterated modalities [Sider] |
13708 | S5 is the strongest system, since it has the most valid formulas, because it is easy to be S5-valid [Sider] |
13712 | Epistemic accessibility is reflexive, and allows positive and negative introspection (KK and K¬K) [Sider] |
13714 | We can treat modal worlds as different times [Sider] |
13720 | Converse Barcan Formula: □∀αφ→∀α□φ [Sider] |
13718 | The Barcan Formula ∀x□Fx→□∀xFx may be a defect in modal logic [Sider] |
13723 | System B is needed to prove the Barcan Formula [Sider] |
13715 | You can employ intuitionist logic without intuitionism about mathematics [Sider] |
13678 | The most popular account of logical consequence is the semantic or model-theoretic one [Sider] |
13682 | Maybe logical consequence is impossibility of the premises being true and the consequent false [Sider] |
13680 | Maybe logical consequence is a primitive notion [Sider] |
13679 | Maybe logical consequence is more a matter of provability than of truth-preservation [Sider] |
13722 | A 'theorem' is an axiom, or the last line of a legitimate proof [Sider] |
13696 | When a variable is 'free' of the quantifier, the result seems incapable of truth or falsity [Sider] |
13700 | A 'total' function must always produce an output for a given domain [Sider] |
13703 | λ can treat 'is cold and hungry' as a single predicate [Sider] |
13688 | Good axioms should be indisputable logical truths [Sider] |
13687 | No assumptions in axiomatic proofs, so no conditional proof or reductio [Sider] |
13691 | Induction has a 'base case', then an 'inductive hypothesis', and then the 'inductive step' [Sider] |
13690 | Proof by induction 'on the length of the formula' deconstructs a formula into its accepted atoms [Sider] |
13685 | Natural deduction helpfully allows reasoning with assumptions [Sider] |
13686 | We can build proofs just from conclusions, rather than from plain formulae [Sider] |
13697 | Valuations in PC assign truth values to formulas relative to variable assignments [Sider] |
13684 | The semantical notion of a logical truth is validity, being true in all interpretations [Sider] |
13704 | It is hard to say which are the logical truths in modal logic, especially for iterated modal operators [Sider] |
13724 | In model theory, first define truth, then validity as truth in all models, and consequence as truth-preservation [Sider] |
13698 | In a complete logic you can avoid axiomatic proofs, by using models to show consequences [Sider] |
13699 | Compactness surprisingly says that no contradictions can emerge when the set goes infinite [Sider] |
13701 | A single second-order sentence validates all of arithmetic - but this can't be proved axiomatically [Sider] |
3473 | Reduction can be of things, properties, ideas or causes [Searle] |
3532 | Solidity in a piston is integral to its structure, not supervenient [Maslin on Searle] |
3533 | Is supervenience just causality? [Searle, by Maslin] |
3454 | Reality is entirely particles in force fields [Searle] |
13692 | A 'precisification' of a trivalent interpretation reduces it to a bivalent interpretation [Sider] |
13693 | A 'supervaluation' assigns further Ts and Fs, if they have been assigned in every precisification [Sider] |
13695 | Supervaluational logic is classical, except when it adds the 'Definitely' operator [Sider] |
13694 | We can 'sharpen' vague terms, and then define truth as true-on-all-sharpenings [Sider] |
13683 | A relation is a feature of multiple objects taken together [Sider] |
3471 | Some properties depend on components, others on their relations [Searle] |
3472 | Fully 'emergent' properties contradict our whole theory of causation [Searle] |
13702 | The identity of indiscernibles is necessarily true, if being a member of some set counts as a property [Sider] |
13721 | 'Strong' necessity in all possible worlds; 'weak' necessity in the worlds where the relevant objects exist [Sider] |
13707 | Maybe metaphysical accessibility is intransitive, if a world in which I am a frog is impossible [Sider] |
13709 | Logical truths must be necessary if anything is [Sider] |
13716 | 'If B hadn't shot L someone else would have' if false; 'If B didn't shoot L, someone else did' is true [Sider] |
13717 | Transworld identity is not a problem in de dicto sentences, which needn't identify an individual [Sider] |
13719 | Barcan Formula problem: there might have been a ghost, despite nothing existing which could be a ghost [Sider] |
3490 | Beliefs only make sense as part of a network of other beliefs [Searle] |
3491 | Beliefs are part of a network, and also exist against a background [Searle] |
3482 | Perception is a function of expectation [Searle] |
3493 | Memory is mainly a guide for current performance [Searle] |
3463 | We don't have a "theory" that other people have minds [Searle] |
3457 | Other minds are not inferred by analogy, but are our best explanation [Searle] |
3480 | We experience unity at an instant and across time [Searle] |
3479 | The mind experiences space, but it is not experienced as spatial [Searle] |
3470 | Conscious creatures seem able to discriminate better [Searle] |
3486 | Unconscious thoughts are those capable of causing conscious ones [Searle] |
3503 | Consciousness results directly from brain processes, not from some intermediary like information [Searle] |
3465 | Either there is intrinsic intentionality, or everything has it [Searle] |
3484 | Water flowing downhill can be described as if it had intentionality [Searle] |
3489 | Intentional phenomena only make sense within a background [Searle] |
3494 | Intentionality is defined in terms of representation [Searle] |
3481 | Consciousness is essential and basic to intentionality [Searle] |
4088 | Pain is not intentional, because it does not represent anything beyond itself [Searle] |
3467 | Neither introspection nor privileged access makes sense [Searle] |
3483 | Introspection is just thinking about mental states, not a special sort of vision [Searle] |
3468 | I cannot observe my own subjectivity [Searle] |
3469 | Mind and brain don't interact if they are the same [Searle] |
3487 | Without internal content, a zombie's full behaviour couldn't be explained [Searle] |
3458 | Mental states only relate to behaviour contingently, not necessarily [Searle] |
3485 | Wanting H2O only differs from wanting water in its mental component [Searle] |
3461 | Functionalists like the externalist causal theory of reference [Searle] |
3496 | A program for Chinese translation doesn't need to understand Chinese [Searle] |
3499 | Computation presupposes consciousness [Searle] |
3501 | If we are computers, who is the user? [Searle] |
3453 | Property dualism is the reappearance of Cartesianism [Searle] |
3475 | Property dualism denies reductionism [Searle] |
3456 | Consciousness is a brain property as liquidity is a water property [Searle] |
3455 | Property dualists tend to find the mind-body problem baffling [Searle] |
3478 | Upwards mental causation makes 'supervenience' irrelevant [Searle] |
3477 | If mind-brain supervenience isn't causal, this implies epiphenomenalism [Searle] |
3531 | Mental events can cause even though supervenient, like the solidity of a piston [Searle] |
3476 | Mind and brain are supervenient in respect of cause and effect [Searle] |
3466 | Consciousness seems indefinable by conditions or categories [Searle] |
9317 | Searle argues that biology explains consciousness, but physics won't explain biology [Searle, by Kriegel/Williford] |
3474 | If mind is caused by brain, does this mean mind IS brain? [Searle] |
3500 | Can the homunculus fallacy be beaten by recursive decomposition? [Searle] |
3497 | If mind is multiply realisable, it is possible that anything could realise it [Searle] |
3462 | We don't postulate folk psychology, we experience it [Searle] |
3498 | Computation isn't a natural phenomenon, it is a way of seeing phenomena [Searle] |
3492 | Content is much more than just sentence meaning [Searle] |
3464 | There is no such thing as 'wide content' [Searle] |
3506 | We explain behaviour in terms of actual internal representations in the agent [Searle] |
3451 | Meaning is derived intentionality [Searle] |
3450 | Philosophy of language is a branch of philosophy of mind [Searle] |
3507 | Universal grammar doesn't help us explain anything [Searle] |
3495 | Shared Background makes translation possible, though variation makes it hard [Searle] |
3505 | The function of a heart depends on what we want it to do [Searle] |
3504 | Chemistry entirely explains plant behaviour [Searle] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
3502 | Mind involves fighting, fleeing, feeding and fornicating [Searle] |
3459 | You can only know the limits of knowledge if you know the other side of the limit [Searle] |