158 ideas
19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
15209 | Like disastrous small errors in navigation, small misunderstandings can wreck intellectual life [Harré/Madden] |
15215 | Philosophy devises and assesses conceptual schemes in the service of worldviews [Harré/Madden] |
15212 | Analysis of concepts based neither on formalism nor psychology can arise from examining what we know [Harré/Madden] |
15210 | Humeans see analysis in terms of formal logic, because necessities are fundamentally logical relations [Harré/Madden] |
15236 | Positivism says science only refers to immediate experiences [Harré/Madden] |
19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
15227 | Logically, definitions have a subject, and a set of necessary predicates [Harré/Madden] |
17774 | Definitions make our intuitions mathematically useful [Mayberry] |
17773 | Proof shows that it is true, but also why it must be true [Mayberry] |
19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
17795 | Set theory can't be axiomatic, because it is needed to express the very notion of axiomatisation [Mayberry] |
17796 | There is a semi-categorical axiomatisation of set-theory [Mayberry] |
17800 | The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry] |
17801 | The set hierarchy doesn't rely on the dubious notion of 'generating' them [Mayberry] |
17803 | Limitation of size is part of the very conception of a set [Mayberry] |
17786 | The mainstream of modern logic sees it as a branch of mathematics [Mayberry] |
17788 | First-order logic only has its main theorems because it is so weak [Mayberry] |
17791 | Only second-order logic can capture mathematical structure up to isomorphism [Mayberry] |
17787 | Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry] |
17790 | No Löwenheim-Skolem logic can axiomatise real analysis [Mayberry] |
17779 | 'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry] |
17778 | Axiomatiation relies on isomorphic structures being essentially the same [Mayberry] |
17780 | 'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry] |
17789 | No logic which can axiomatise arithmetic can be compact or complete [Mayberry] |
15273 | Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden] |
17784 | Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry] |
15274 | Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden] |
17782 | Greek quantities were concrete, and ratio and proportion were their science [Mayberry] |
17781 | Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry] |
19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
17799 | Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry] |
17797 | Cantor extended the finite (rather than 'taming the infinite') [Mayberry] |
17775 | If proof and definition are central, then mathematics needs and possesses foundations [Mayberry] |
17776 | The ultimate principles and concepts of mathematics are presumed, or grasped directly [Mayberry] |
17777 | Foundations need concepts, definition rules, premises, and proof rules [Mayberry] |
17804 | Axiom theories can't give foundations for mathematics - that's using axioms to explain axioms [Mayberry] |
17792 | 1st-order PA is only interesting because of results which use 2nd-order PA [Mayberry] |
17793 | It is only 2nd-order isomorphism which suggested first-order PA completeness [Mayberry] |
17794 | Set theory is not just first-order ZF, because that is inadequate for mathematics [Mayberry] |
17802 | We don't translate mathematics into set theory, because it comes embodied in that way [Mayberry] |
17805 | Set theory is not just another axiomatised part of mathematics [Mayberry] |
15211 | There is not an exclusive dichotomy between the formal and the logical [Harré/Madden] |
19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
15261 | Humeans can only explain change with continuity as successive replacement [Harré/Madden] |
15268 | Humeans construct their objects from events, but we construct events from objects [Harré/Madden] |
15257 | The induction problem fades if you work with things, rather than with events [Harré/Madden] |
15300 | Fundamental particulars can't change [Harré/Madden] |
15319 | Hard individual blocks don't fix what 'things' are; fluids are no less material things [Harré/Madden] |
15320 | Magnetic and gravity fields can occupy the same place without merging [Harré/Madden] |
15318 | Gravitational and electrical fields are, for a materialist, distressingly empty of material [Harré/Madden] |
15267 | Events are changes in states of affairs (which consist of structured particulars, with powers and relations) [Harré/Madden] |
15281 | Humeans see predicates as independent, but science says they are connected [Harré/Madden] |
15279 | Energy was introduced to physics to refer to the 'store of potency' of a moving ball [Harré/Madden] |
15276 | Some powers need a stimulus, but others are just released [Harré/Madden] |
15305 | Some powers are variable, others cannot change (without destroying an identity) [Harré/Madden] |
15218 | Scientists define copper almost entirely (bar atomic number) in terms of its dispositions [Harré/Madden] |
15302 | We explain powers by the natures of things, but explanations end in inexplicable powers [Harré/Madden] |
15303 | Maybe a physical field qualifies as ultimate, if its nature is identical with its powers [Harré/Madden] |
15258 | Powers are not qualities; they just point to directions of empirical investigation [Harré/Madden] |
15315 | What is a field of potentials, if it only consists of possible events? [Harré/Madden] |
17785 | Real numbers as abstracted objects are now treated as complete ordered fields [Mayberry] |
15272 | The good criticism of substance by Humeans also loses them the vital concept of a thing [Harré/Madden] |
15304 | We can escape substance and its properties, if we take fields of pure powers as ultimate [Harré/Madden] |
15309 | The assumption that shape and solidity are fundamental implies dubious 'substance' in bodies [Harré/Madden] |
15264 | The notorious substratum results from substance-with-qualities; individuals-with-powers solves this [Harré/Madden] |
15262 | In logic the nature of a kind, substance or individual is the essence which is inseparable from what it is [Harré/Madden] |
15297 | We can infer a new property of a thing from its other properties, via its essential nature [Harré/Madden] |
15266 | We say the essence of particles is energy, but only so we can tell a story about the nature of things [Harré/Madden] |
15220 | To say something remains the same but lacks its capacities and powers seems a contradiction [Harré/Madden] |
15222 | Some individuals can gain or lose capacities or powers, without losing their identity [Harré/Madden] |
15296 | A particular might change all of its characteristics, retaining mere numerical identity [Harré/Madden] |
15275 | 'Dense' time raises doubts about continuous objects, so they need 'continuous' time [Harré/Madden] |
15271 | If things are successive instantaneous events, nothing requires those events to resemble one another [Harré/Madden] |
15256 | Humeans cannot step in the same river twice, because they cannot strictly form the concept of 'river' [Harré/Madden] |
15290 | What reduces the field of the possible is a step towards necessity [Harré/Madden] |
15291 | There is 'absolute' necessity (implied by all propositions) and 'relative' necessity (from what is given) [Harré/Madden] |
15230 | Logical necessity is grounded in the logical form of a statement [Harré/Madden] |
15214 | Natural necessity is not logical necessity or empirical contingency in disguise [Harré/Madden] |
15221 | The relation between what a thing is and what it can do or undergo relate by natural necessity [Harré/Madden] |
15224 | A necessity corresponds to the nature of the actual [Harré/Madden] |
15232 | Natural necessity is when powerful particulars must produce certain results in a situation [Harré/Madden] |
15288 | People doubt science because if it isn't logically necessary it seems to be absolutely contingent [Harré/Madden] |
15289 | Property or event relations are naturally necessary if generated by essential mechanisms [Harré/Madden] |
15231 | Transcendental necessity is conditions of a world required for a rational being to know its nature [Harré/Madden] |
15234 | There is a transcendental necessity for each logical necessity, but the transcendental extends further [Harré/Madden] |
19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
15260 | Counterfactuals are just right for analysing statements about the powers which things have [Harré/Madden] |
15233 | If natural necessity is used to include or exclude some predicate, the predicate is conceptually necessary [Harré/Madden] |
15242 | Having a child is contingent for a 'man', necessary for a 'father'; the latter reflects a necessity of nature [Harré/Madden] |
15216 | Is conceptual necessity just conventional, or does it mirror something about nature? [Harré/Madden] |
15235 | There is a conceptual necessity when properties become a standard part of a nominal essence [Harré/Madden] |
15228 | Necessity and contingency are separate from the a priori and the a posteriori [Harré/Madden] |
15252 | If Goldbach's Conjecture is true (and logically necessary), we may be able to conceive its opposite [Harré/Madden] |
15245 | It is silly to say that direct experience must be justified, either by reason, or by more experience [Harré/Madden] |
19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
15244 | We experience qualities as of objects, not on their own [Harré/Madden] |
15248 | Inference in perception is unconvincingly defended as non-conscious and almost instantaneous [Harré/Madden] |
15269 | Humean impressions are too instantaneous and simple to have structure or relations [Harré/Madden] |
15286 | Clavius's Paradox: purely syntactic entailment theories won't explain, because they are too profuse [Harré/Madden] |
15283 | Simplicity can sort theories out, but still leaves an infinity of possibilities [Harré/Madden] |
15316 | The powers/natures approach has been so successful (for electricity, magnetism, gravity) it may be universal [Harré/Madden] |
19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
15298 | We prefer the theory which explains and predicts the powers and capacities of particulars [Harré/Madden] |
15225 | Science investigates the nature and constitution of things or substances [Harré/Madden] |
19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
15255 | Conjunctions explain nothing, and so do not give a reason for confidence in inductions [Harré/Madden] |
15270 | Hume's atomic events makes properties independent, and leads to problems with induction [Harré/Madden] |
15284 | Contraposition may be equivalent in truth, but not true in nature, because of irrelevant predicates [Harré/Madden] |
15285 | The items put forward by the contraposition belong within different natural clusters [Harré/Madden] |
15287 | The possibility that all ravens are black is a law depends on a mechanism producing the blackness [Harré/Madden] |
15306 | Only changes require explanation [Harré/Madden] |
15293 | If explanation is by entailment, that lacks a causal direction, unlike natural necessity [Harré/Madden] |
15294 | Powers can explain the direction of causality, and make it a natural necessity [Harré/Madden] |
15254 | If the nature of particulars explains their powers, it also explains their relations and behaviour [Harré/Madden] |
15317 | Powers and natures lead us to hypothesise underlying mechanisms, which may be real [Harré/Madden] |
15310 | Solidity comes from the power of repulsion, and shape from the power of attraction [Harré/Madden] |
15219 | Essence explains passive capacities as well as active powers [Harré/Madden] |
15301 | The very concepts of a particular power or nature imply the possibility of being generalised [Harré/Madden] |
19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
15226 | What properties a thing must have to be a type of substance can be laid down a priori [Harré/Madden] |
15229 | We say there is 'no alternative' in all sorts of contexts, and there are many different grounds for it [Harré/Madden] |
15292 | We can base the idea of a natural kind on the mechanisms that produce natural necessity [Harré/Madden] |
15299 | Species do not have enough constancy to be natural kinds [Harré/Madden] |
15253 | If the concept of a cause includes its usual effects, we call it a 'power' [Harré/Madden] |
15278 | Humean accounts of causal direction by time fail, because cause and effect can occur together [Harré/Madden] |
15246 | Active causal power is just objects at work, not something existing in itself [Harré/Madden] |
15213 | Causation always involves particular productive things [Harré/Madden] |
15217 | Efficient causes combine stimulus to individuals, absence of contraints on activity [Harré/Madden] |
15277 | The cause (or part of it) is what stimulates or releases the powerful particular thing involved [Harré/Madden] |
15237 | Originally Humeans based lawlike statements on pure qualities, without particulars [Harré/Madden] |
15238 | Being lawlike seems to resist formal analysis, because there are always counter-examples [Harré/Madden] |
15223 | Necessary effects will follow from some general theory specifying powers and structure of a world [Harré/Madden] |
15241 | Humeans say there is no necessity in causation, because denying an effect is never self-contradictory [Harré/Madden] |
19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
19670 | Why are contingent laws of nature stable? [Meillassoux] |
15240 | In lawful universal statements (unlike accidental ones) we see why the regularity holds [Harré/Madden] |
15239 | We could call any generalisation a law, if it had reasonable support and no counter-evidence [Harré/Madden] |
15243 | We perceive motion, and not just successive occupations of different positions [Harré/Madden] |
15265 | 'Energy' is a quasi-substance invented as the bearer of change during interactions [Harré/Madden] |
15280 | 'Kinetic energy' is used to explain the effects of moving things when they are stopped [Harré/Madden] |
15321 | Space can't be an individual (in space), but it is present in all places [Harré/Madden] |
15259 | Chemical atoms have two powers: to enter certain combinations, and to emit a particular spectrum [Harré/Madden] |
15263 | Chemistry is not purely structural; CO2 is not the same as SO2 [Harré/Madden] |
19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
15295 | Theism is supposed to make the world more intelligible - and should offer results [Harré/Madden] |
19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |