78 ideas
15413 | With four tense operators, all complex tenses reduce to fourteen basic cases [Burgess] |
15415 | The temporal Barcan formulas fix what exists, which seems absurd [Burgess] |
15430 | Is classical logic a part of intuitionist logic, or vice versa? [Burgess] |
15431 | It is still unsettled whether standard intuitionist logic is complete [Burgess] |
15429 | Relevance logic's → is perhaps expressible by 'if A, then B, for that reason' [Burgess] |
15404 | Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess] |
15405 | Classical logic neglects the non-mathematical, such as temporality or modality [Burgess] |
15427 | The Cut Rule expresses the classical idea that entailment is transitive [Burgess] |
15421 | Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess] |
15403 | Philosophical logic is a branch of logic, and is now centred in computer science [Burgess] |
15407 | Formalising arguments favours lots of connectives; proving things favours having very few [Burgess] |
15424 | Asserting a disjunction from one disjunct seems odd, but can be sensible, and needed in maths [Burgess] |
15409 | All occurrences of variables in atomic formulas are free [Burgess] |
15414 | The denotation of a definite description is flexible, rather than rigid [Burgess] |
15406 | 'Induction' and 'recursion' on complexity prove by connecting a formula to its atomic components [Burgess] |
15425 | The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess] |
15426 | We can build one expanding sequence, instead of a chain of deductions [Burgess] |
6653 | Syntactical methods of proof need only structure, where semantic methods (truth-tables) need truth [Lowe] |
15408 | 'Tautologies' are valid formulas of classical sentential logic - or substitution instances in other logics [Burgess] |
15418 | Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess] |
15412 | Models leave out meaning, and just focus on truth values [Burgess] |
15411 | We only need to study mathematical models, since all other models are isomorphic to these [Burgess] |
15416 | We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess] |
15428 | The Liar seems like a truth-value 'gap', but dialethists see it as a 'glut' [Burgess] |
6618 | A 'substance' is a thing that remains the same when its properties change [Lowe] |
15420 | De re modality seems to apply to objects a concept intended for sentences [Burgess] |
15419 | General consensus is S5 for logical modality of validity, and S4 for proof [Burgess] |
15417 | Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess] |
15422 | Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess] |
15423 | It is doubtful whether the negation of a conditional has any clear meaning [Burgess] |
6635 | Causal theories of belief make all beliefs true, and can't explain belief about the future [Lowe] |
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] |
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] |
6667 | There are memories of facts, memories of practical skills, and autobiographical memory [Lowe] |
6642 | Psychologists say illusions only occur in unnatural and passive situations [Lowe] |
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] |
6626 | 'Phenomenal' consciousness is of qualities; 'apperceptive' consciousness includes beliefs and desires [Lowe] |
7658 | Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett] |
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] |
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] |
7655 | The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett] |
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] |
7657 | Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett] |
7656 | I don't deny consciousness; it just isn't what people think it is [Dennett] |
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] |
7654 | What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett] |
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] |
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] |
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] |