123 ideas
15357 | Philosophy is the most general intellectual discipline [Horsten] |
3798 | An overexamined life is as bad as an unexamined one [Dennett] |
3801 | Rationality requires the assumption that things are either for better or worse [Dennett] |
15352 | A definition should allow the defined term to be eliminated [Horsten] |
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
15324 | Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten] |
15323 | Truth is a property, because the truth predicate has an extension [Horsten] |
15374 | Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten] |
15348 | Propositions have sentence-like structures, so it matters little which bears the truth [Horsten] |
15333 | Modern correspondence is said to be with the facts, not with true propositions [Horsten] |
15337 | The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten] |
15334 | The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten] |
15336 | The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten] |
15354 | Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten] |
15340 | Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten] |
15345 | Semantic theories have a regress problem in describing truth in the languages for the models [Horsten] |
15373 | Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten] |
15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten] |
15350 | The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten] |
15351 | Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten] |
15367 | By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten] |
15330 | Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten] |
15331 | Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten] |
15325 | Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten] |
15344 | Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten] |
15356 | Deflationism concerns the nature and role of truth, but not its laws [Horsten] |
15368 | This deflationary account says truth has a role in generality, and in inference [Horsten] |
15358 | Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten] |
15359 | Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten] |
15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
15326 | Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten] |
15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |
15328 | A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten] |
15349 | It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten] |
15366 | Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
15353 | The first incompleteness theorem means that consistency does not entail soundness [Horsten] |
15355 | Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten] |
15364 | English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten] |
18085 | Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy] |
18084 | When successive variable values approach a fixed value, that is its 'limit' [Cauchy] |
10885 | Computer proofs don't provide explanations [Horsten] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
15360 | ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten] |
15369 | Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten] |
15370 | Predicativism says mathematical definitions must not include the thing being defined [Horsten] |
15338 | We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten] |
15362 | If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten] |
15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
14308 | We can bring dispositions into existence, as in creating an identifier [Dennett, by Mumford] |
7384 | Words are fixed by being attached to similarity clusters, without mention of 'essences' [Dennett] |
2526 | Philosophers regularly confuse failures of imagination with insights into necessity [Dennett] |
3802 | Why pronounce impossible what you cannot imagine? [Dennett] |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
7374 | Light wavelengths entering the eye are only indirectly related to object colours [Dennett] |
2523 | That every mammal has a mother is a secure reality, but without foundations [Dennett] |
3795 | Causal theories require the "right" sort of link (usually unspecified) [Dennett] |
7369 | Brains are essentially anticipation machines [Dennett] |
4608 | Minds are hard-wired, or trial-and-error, or experimental, or full self-aware [Dennett, by Heil] |
7393 | We can't draw a clear line between conscious and unconscious [Dennett] |
7367 | Perhaps the brain doesn't 'fill in' gaps in consciousness if no one is looking. [Dennett] |
4880 | Sentience comes in grades from robotic to super-human; we only draw a line for moral reasons [Dennett] |
2528 | Does consciousness need the concept of consciousness? [Dennett] |
2525 | Maybe language is crucial to consciousness [Dennett] |
7394 | Conscious events can only be explained in terms of unconscious events [Dennett] |
7391 | We can know a lot of what it is like to be a bat, and nothing important is unknown [Dennett] |
3158 | Theories of intentionality presuppose rationality, so can't explain it [Dennett] |
2527 | Unconscious intentionality is the foundation of the mind [Dennett] |
6624 | Dennett denies the existence of qualia [Dennett, by Lowe] |
4873 | What is it like to notice an uncomfortable position when you are asleep? [Dennett] |
7658 | Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett] |
7387 | "Qualia" can be replaced by complex dispositional brain states [Dennett] |
7376 | We can't assume that dispositions will remain normal when qualia have been inverted [Dennett] |
7372 | In peripheral vision we see objects without their details, so blindsight is not that special [Dennett] |
7373 | Blindsight subjects glean very paltry information [Dennett] |
3797 | I am the sum total of what I directly control [Dennett] |
7385 | People accept blurred boundaries in many things, but insist self is All or Nothing [Dennett] |
4881 | Being a person must involve having second-order beliefs and desires (about beliefs and desires) [Dennett] |
7383 | The psychological self is an abstraction, not a thing in the brain [Dennett] |
7386 | Selves are not soul-pearls, but artefacts of social processes [Dennett] |
7381 | We tell stories about ourselves, to protect, control and define who we are [Dennett] |
7382 | We spin narratives about ourselves, and the audience posits a centre of gravity for them [Dennett] |
7370 | The brain is controlled by shifting coalitions, guided by good purposeful habits [Dennett] |
7655 | The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett] |
3800 | You can be free even though force would have prevented you doing otherwise [Dennett, by PG] |
3803 | Can we conceive of a being with a will freer than our own? [Dennett] |
3791 | Awareness of thought is a step beyond awareness of the world [Dennett] |
3794 | Foreknowledge permits control [Dennett] |
7379 | If an epiphenomenon has no physical effects, it has to be undetectable [Dennett] |
7365 | Dualism wallows in mystery, and to accept it is to give up [Dennett] |
3159 | Beliefs and desires aren't real; they are prediction techniques [Dennett] |
3796 | The active self is a fiction created because we are ignorant of our motivations [Dennett] |
3161 | If mind is just an explanation, the explainer must have beliefs [Rey on Dennett] |
3986 | The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett] |
2530 | Could a robot be made conscious just by software? [Dennett] |
7371 | All functionalism is 'homuncular', of one grain size or another [Dennett] |
4875 | We descend from robots, and our intentionality is composed of billions of crude intentional systems [Dennett] |
4879 | There is no more anger in adrenaline than silliness in a bottle of whiskey [Dennett] |
7657 | Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett] |
7366 | It is arbitrary to say which moment of brain processing is conscious [Dennett] |
7380 | Visual experience is composed of neural activity, which we find pleasing [Dennett] |
4876 | Maybe there is a minimum brain speed for supporting a mind [Dennett] |
7656 | I don't deny consciousness; it just isn't what people think it is [Dennett] |
4878 | The materials for a mind only matter because of speed, and a need for transducers and effectors [Dennett] |
3987 | Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett] |
3177 | You couldn't drive a car without folk psychology [Dennett] |
2524 | A language of thought doesn't explain content [Dennett] |
4874 | The predecessor and rival of the language of thought hypothesis is the picture theory of ideas [Dennett] |
7654 | What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett] |
23803 | States have content if we can predict them well by assuming intentionality [Dennett, by Schulte] |
3984 | The nature of content is entirely based on its functional role [Dennett] |
4882 | Concepts are things we (unlike dogs) can think about, because we have language [Dennett] |
2529 | Maybe there can be non-conscious concepts (e.g. in bees) [Dennett] |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
3983 | Learning is evolution in the brain [Dennett] |
4872 | Most people see an abortion differently if the foetus lacks a brain [Dennett] |
7368 | Originally there were no reasons, purposes or functions; since there were no interests, there were only causes [Dennett] |
3985 | Biology is a type of engineering, not a search for laws of nature [Dennett] |
4877 | Maybe plants are very slow (and sentient) animals, overlooked because we are faster? [Dennett] |
3804 | Darwin's idea was the best idea ever [Dennett] |