61 ideas
| 22611 | Metaphysics can criticise interpretations of science theories, and give good feedback [Ingthorsson] |
| Full Idea: Metaphysics is capable of critical scrutiny of the way the empirical sciences make sense of their own theories, and can provide them with very useful feedback. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.9) | |
| A reaction: I agree with this, but I don't think it is the main job of metaphysics, which has its own agenda, using science as some of its raw material. |
| 22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
| Full Idea: Dedkind gave a rigorous proof of the principle of definition by recursion, permitting recursive definitions of addition and multiplication, and hence proofs of the familiar arithmetical laws. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 13 'Deriv' |
| 10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
| Full Idea: A set is 'Dedekind-infinite' iff there exists a one-to-one function that maps a set into a proper subset of itself. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], §64) by E Reck / M Price - Structures and Structuralism in Phil of Maths n 7 | |
| A reaction: Sounds as if it is only infinite if it is contradictory, or doesn't know how big it is! |
| 22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
| Full Idea: Dedekind had an interesting proof of the Axiom of Infinity. He held that I have an a priori grasp of the idea of my self, and that every idea I can form the idea of that idea. Hence there are infinitely many objects available to me a priori. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], no. 66) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 12 'Numb' | |
| A reaction: Who said that Descartes' Cogito was of no use? Frege endorsed this, as long as the ideas are objective and not subjective. |
| 10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
| Full Idea: Dedekind plainly had fusions, not collections, in mind when he avoided the empty set and used the same symbol for membership and inclusion - two tell-tale signs of a mereological conception. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], 2-3) by Michael Potter - Set Theory and Its Philosophy 02.1 | |
| A reaction: Potter suggests that mathematicians were torn between mereology and sets, and eventually opted whole-heartedly for sets. Maybe this is only because set theory was axiomatised by Zermelo some years before Lezniewski got to mereology. |
| 22609 | Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson] |
| Full Idea: First-order predicate logic was accepted so easily by the philosophical community …because philosophy was already geared toward a neo-Humean view of both science and philosophy as primarily descriptive rather than explanatory. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.8) | |
| A reaction: The point, I think, is that explanatory thinking needs second-order logic, where the properties (or powers) are players in the game, and not just adjuncts of the catalogue of objects. I find this idea mind-expanding. (That's a good thing). |
| 9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
| Full Idea: Numbers are free creations of the human mind; they serve as a means of apprehending more easily and more sharply the difference of things. | |
| From: Richard Dedekind (Nature and Meaning of Numbers [1888], Pref) | |
| A reaction: Does this fit real numbers and complex numbers, as well as natural numbers? Frege was concerned by the lack of objectivity in this sort of view. What sort of arithmetic might the Martians have created? Numbers register sameness too. |
| 10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
| Full Idea: It was primarily Dedekind's accomplishment to define the integers, rationals and reals, taking only the system of natural numbers for granted. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by A.George / D.J.Velleman - Philosophies of Mathematics Intro |
| 17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
| Full Idea: Dedekind and Cantor said the cardinals may be defined in terms of the ordinals: The cardinal number of a set S is the least ordinal onto whose predecessors the members of S can be mapped one-one. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 5 |
| 7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
| Full Idea: Dedekind said that the notion of order, rather than that of quantity, is the central notion in the definition of number. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4 | |
| A reaction: Compare Aristotle's nice question in Idea 646. My intuition is that quantity comes first, because I'm not sure HOW you could count, if you didn't think you were changing the quantity each time. Why does counting go in THAT particular order? Cf. Idea 8661. |
| 14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
| Full Idea: Dedekind's ordinals are not essentially either ordinals or cardinals, but the members of any progression whatever. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - The Principles of Mathematics §243 | |
| A reaction: This is part of Russell's objection to Dedekind's structuralism. The question is always why these beautiful structures should actually be considered as numbers. I say, unlike Russell, that the connection to counting is crucial. |
| 17611 | We want the essence of continuity, by showing its origin in arithmetic [Dedekind] |
| Full Idea: It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity. | |
| From: Richard Dedekind (Continuity and Irrational Numbers [1872], Intro) | |
| A reaction: [He seeks the origin of the theorem that differential calculus deals with continuous magnitude, and he wants an arithmetical rather than geometrical demonstration; the result is his famous 'cut']. |
| 10572 | A cut between rational numbers creates and defines an irrational number [Dedekind] |
| Full Idea: Whenever we have to do a cut produced by no rational number, we create a new, an irrational number, which we regard as completely defined by this cut. | |
| From: Richard Dedekind (Continuity and Irrational Numbers [1872], §4) | |
| A reaction: Fine quotes this to show that the Dedekind Cut creates the irrational numbers, rather than hitting them. A consequence is that the irrational numbers depend on the rational numbers, and so can never be identical with any of them. See Idea 10573. |
| 14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
| Full Idea: Dedekind set up the axiom that the gap in his 'cut' must always be filled …The method of 'postulating' what we want has many advantages; they are the same as the advantages of theft over honest toil. Let us leave them to others. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - Introduction to Mathematical Philosophy VII | |
| A reaction: This remark of Russell's is famous, and much quoted in other contexts, but I have seen the modern comment that it is grossly unfair to Dedekind. |
| 18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
| Full Idea: One view, favoured by Dedekind, is that the cut postulates a real number for each cut in the rationals; it does not identify real numbers with cuts. ....A view favoured by later logicists is simply to identify a real number with a cut. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by David Bostock - Philosophy of Mathematics 4.4 | |
| A reaction: Dedekind is the patriarch of structuralism about mathematics, so he has little interest in the existenc of 'objects'. |
| 18244 | I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind] |
| Full Idea: Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power. | |
| From: Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4 | |
| A reaction: Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects. |
| 9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
| Full Idea: If we scrutinize closely what is done in counting an aggregate of things, we see the ability of the mind to relate things to things, to let a thing correspond to a thing, or to represent a thing by a thing, without which no thinking is possible. | |
| From: Richard Dedekind (Nature and Meaning of Numbers [1888], Pref) | |
| A reaction: I don't suppose it occurred to Dedekind that he was reasserting Hume's observation about the fundamental psychology of thought. Is the origin of our numerical ability of philosophical interest? |
| 17612 | Arithmetic is just the consequence of counting, which is the successor operation [Dedekind] |
| Full Idea: I regard the whole of arithmetic as a necessary, or at least natural, consequence of the simplest arithmetic act, that of counting, and counting itself is nothing else than the successive creation of the infinite series of positive integers. | |
| From: Richard Dedekind (Continuity and Irrational Numbers [1872], §1) | |
| A reaction: Thus counting roots arithmetic in the world, the successor operation is the essence of counting, and the Dedekind-Peano axioms are built around successors, and give the essence of arithmetic. Unfashionable now, but I love it. Intransitive counting? |
| 9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
| Full Idea: A system S is said to be infinite when it is similar to a proper part of itself. | |
| From: Richard Dedekind (Nature and Meaning of Numbers [1888], V.64) |
| 18087 | If x changes by less and less, it must approach a limit [Dedekind] |
| Full Idea: If in the variation of a magnitude x we can for every positive magnitude δ assign a corresponding position from and after which x changes by less than δ then x approaches a limiting value. | |
| From: Richard Dedekind (Continuity and Irrational Numbers [1872], p.27), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.7 | |
| A reaction: [Kitcher says he 'showed' this, rather than just stating it] |
| 13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
| Full Idea: Dedekind's natural numbers: an object is in a set (0 is a number), a function sends the set one-one into itself (numbers have unique successors), the object isn't a value of the function (it isn't a successor), plus induction. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by William D. Hart - The Evolution of Logic 5 | |
| A reaction: Hart notes that since this refers to sets of individuals, it is a second-order account of numbers, what we now call 'Second-Order Peano Arithmetic'. |
| 18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
| Full Idea: Dedekind's idea is that the set of natural numbers has zero as a member, and also has as a member the successor of each of its members, and it is the smallest set satisfying this condition. It is the intersection of all sets satisfying the condition. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by David Bostock - Philosophy of Mathematics 4.4 |
| 18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
| Full Idea: It is Dedekind's categoricity result that convinces most of us that he has articulated our implicit conception of the natural numbers, since it entitles us to speak of 'the' domain (in the singular, up to isomorphism) of natural numbers. | |
| From: comment on Richard Dedekind (Nature and Meaning of Numbers [1888]) by Ian Rumfitt - The Boundary Stones of Thought 9.1 | |
| A reaction: The main rival is set theory, but that has an endlessly expanding domain. He points out that Dedekind needs second-order logic to achieve categoricity. Rumfitt says one could also add to the 1st-order version that successor is an ancestral relation. |
| 14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
| Full Idea: Dedekind proves mathematical induction, while Peano regards it as an axiom, ...and Peano's method has the advantage of simplicity, and a clearer separation between the particular and the general propositions of arithmetic. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - The Principles of Mathematics §241 |
| 8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
| Full Idea: Dedekind is the philosopher-mathematician with whom the structuralist conception originates. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], §3 n13) by Fraser MacBride - Structuralism Reconsidered | |
| A reaction: Hellman says the idea grew naturally out of modern mathematics, and cites Hilbert's belief that furniture would do as mathematical objects. |
| 9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
| Full Idea: Dedekindian abstraction says mathematical objects are 'positions' in a model, while Cantorian abstraction says they are the result of abstracting on structurally similar objects. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Kit Fine - Cantorian Abstraction: Recon. and Defence §6 | |
| A reaction: The key debate among structuralists seems to be whether or not they are committed to 'objects'. Fine rejects the 'austere' version, which says that objects have no properties. Either version of structuralism can have abstraction as its basis. |
| 22629 | Basic processes are said to be either physical, or organic, or psychological [Ingthorsson] |
| Full Idea: Process philosophy is considered to include ideas of process as basically physical (Whitehead 1929), as basically organic (Bergson 1910), and as basically psychological (James 1890). | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 7.4) | |
| A reaction: I take Whitehead to be the only serious contender here. |
| 22633 | Indirect realists are cautious about the manifest image, and prefer the scientific image [Ingthorsson] |
| Full Idea: The indirect realist regards the manifest image with scepticism and contrasts it to the scientific image. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 8.13) | |
| A reaction: This is why indirect realism is the best view for a realist who largely accepts the authority of science, Philosophers can wallow in the manifest image all they like (and most of them seem to love it), but truth is in the scientific image. |
| 22606 | Neo-Humeans say there are no substantial connections between anything [Ingthorsson] |
| Full Idea: Neo-Humean metaphysics holds the view that there are no substantial connections between anything in this world. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1) | |
| A reaction: A very illuminating comment. This exactly fits Lewis's great 'mosaic' of facts. The challenge is to say what 'substantial' relations there might be, but I'm quite happy to have a go at that. |
| 22631 | Properties are said to be categorical qualities or non-qualitative dispositions [Ingthorsson] |
| Full Idea: It is said that that properties divide into two mutually exclusive types—non-dispositional qualities (sometimes called 'categorical properties’) vs. non-qualitative dispositions—of which the qualities are more fundamental than dispositions. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 8) | |
| A reaction: It is standardly understood that the qualitative categorical properties are more fundamental. Fans of powers (such as Ingthorsson and myself) either favour the dispositional properties, or reject the distinction. |
| 22632 | Physics understands the charge of an electron as a power, not as a quality [Ingthorsson] |
| Full Idea: Is the negative charge of an electron a quality or power? It is clear that physics describes the nature of charge only in terms of what its bearer can do. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 8.06) | |
| A reaction: The point is that an electron has properties, even though it has no observable qualities. Ingthorsson says the scientific concept of qualities is entirely about what something can do, and ot how it is perceived. |
| 22627 | Compound objects are processes, insofar as change is essential to them [Ingthorsson] |
| Full Idea: Compound objects are to be considered processes, if by ‘process’ we mean any entity for which change is essential for its continued existence. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 7) | |
| A reaction: This doesn't seem to matter much, except to challenge those who say that reality consists of processes, and therefore not of substances. |
| 9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
| Full Idea: A thing (an object of our thought) is completely determined by all that can be affirmed or thought concerning it. | |
| From: Richard Dedekind (Nature and Meaning of Numbers [1888], I.1) | |
| A reaction: How could you justify this as an observation? Why can't there be unthinkable things (even by God)? Presumably Dedekind is offering a stipulative definition, but we may then be confusing epistemology with ontology. |
| 22613 | Most materialist views postulate smallest indivisible components which are permanent [Ingthorsson] |
| Full Idea: Most materialist ontologies of the past postulate that the world ultimately consists of smallest indivisible component parts that persist because they must; they are permanent. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 2.1) | |
| A reaction: Van Inwagen is notable for this view. Ingthorsson says the theory is to explain medium-sized change, while denying that anything comes to be out of nothing. Theology may lurk in the background. Simple persistance won't explain compound persistance. |
| 22612 | Endurance and perdurance just show the consequences of A or B series time [Ingthorsson] |
| Full Idea: Endurance and perdurance are not explanations, but are merely characterisations of persistance with the constraints imposed by either an A or a B view of time. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 2.1) | |
| A reaction: This is 3-D asnd 4-D objects. A simple and illuminating observation. I love reading broad brush books that make all these simple connections between what seem isolated theories in philosophy. These links are the heart of the subject. |
| 22625 | Science suggests causal aspects of the constitution and persistance of objects [Ingthorsson] |
| Full Idea: There are very obvious causal aspects to the constitution and continued existence of compound entities, especially in light of the scientific image of the world. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 6) | |
| A reaction: I like this a lot. He aims to explain constitution and persistance, rather than just describing or characterising them, and causal binding seems the obvious thought. There are still intermittent and distributed objects, like a dismantled clock. |
| 22620 | If causation involves production, that needs persisting objects [Ingthorsson] |
| Full Idea: If causation involves production, then things must endure rather than perdure, because perdurance is incompatible with production, if creation ex nihilo is ruled out. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.10) | |
| A reaction: That is, objects must persist over time. Cannot an account of production be given in terms of time-sliceS (or whatever)? 3-D perdurantists obviously have an account of change. He says it also needs the A-series view of time. |
| 22636 | Every philosophical theory must be true in some possible world, so the ontology is hopeless [Ingthorsson] |
| Full Idea: Possible worlds ontology appears to be plentiful enough to allow every philosophical theory to be true in some world or other, and that is why I cannot consider it an ontologically serious theory. It admits everything and forbids nothing | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 9.6) | |
| A reaction: Nice. Be careful what you wish for. The theory would have to be consistent (unless we also accept impossible worlds). |
| 22638 | Worlds may differ in various respects, but no overall similarity of worlds is implied [Ingthorsson] |
| Full Idea: Even if possible worlds could differ in many different respects, there is no useful way to combine these different respects into one measure of overall comparative similarity. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 9.7) | |
| A reaction: [idea of Michael Moreau 2010] This is an objection to the use of 'close' possible worlds in causation theories. The idea is true in general of the concept of similarity. It makes sense of specific 'respects', but not really of two whole objects. |
| 9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
| Full Idea: By applying the operation of abstraction to a system of objects isomorphic to the natural numbers, Dedekind believed that we obtained the abstract system of natural numbers, each member having only properties consequent upon its position. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Michael Dummett - The Philosophy of Mathematics | |
| A reaction: Dummett is scornful of the abstractionism. He cites Benacerraf as a modern non-abstractionist follower of Dedekind's view. There seems to be a suspicion of circularity in it. How many objects will you abstract from to get seven? |
| 9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
| Full Idea: If in an infinite system, set in order, we neglect the special character of the elements, simply retaining their distinguishability and their order-relations to one another, then the elements are the natural numbers, created by the human mind. | |
| From: Richard Dedekind (Nature and Meaning of Numbers [1888], VI.73) | |
| A reaction: [compressed] This is the classic abstractionist view of the origin of number, but with the added feature that the order is first imposed, so that ordinals remain after the abstraction. This, of course, sounds a bit circular, as well as subjective. |
| 9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
| Full Idea: Dedekind's conception is psychologistic only if that is the only way to understand the abstraction that is involved, which it is not. | |
| From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by William W. Tait - Frege versus Cantor and Dedekind IV | |
| A reaction: This is a very important suggestion, implying that we can retain some notion of abstractionism, while jettisoning the hated subjective character of private psychologism, which seems to undermine truth and logic. |
| 7258 | The forefather of modern intuitionism is Richard Price [Price,R, by Dancy,J] |
| Full Idea: The forefather of modern intuitionism is Richard Price. | |
| From: report of Richard Price (works [1760]) by Jonathan Dancy - Intuitionism |
| 22605 | Humeans describe the surface of causation, while powers accounts aim at deeper explanations [Ingthorsson] |
| Full Idea: Humeans attempt to describe causation without any deeper ontological commitments, while powers based accounts attempt to explain why causation occurs in the way it is described. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1) | |
| A reaction: Exactly the view I have reached. The Humean view is correct but superficial. A perfect example of my allegiance to Explanatory Empiricism. |
| 22607 | Time and space are not causal, but they determine natural phenomena [Ingthorsson] |
| Full Idea: Time and space are significant determinants of natural phenomena, and yet are not (typically) regarded as causal determinants | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.4) | |
| A reaction: I like the word 'determinants'. Metaphysics largely concerns what determines what. I'm struggling to think of examples of this (which he does not give). Decay takes time, but isn't determined by time. Is a light cone a determinant? |
| 22608 | Casuation is the transmission of conserved quantities between causal processes [Ingthorsson] |
| Full Idea: Causal process theories state that causation needs to be understood in terms of causal processes and their interactions, in which conserved quantities are transmitted between causal processes. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.5) | |
| A reaction: Sounds a bit circular, but the idea of transmission of something is obviously the main point. I like this idea a lot (because it is so naturalistic), but rarely find it taken seriously. Energy is usually the quantity picked out. |
| 22621 | Causation as transfer only works for asymmetric interactions [Ingthorsson] |
| Full Idea: The transference model of causation only works for asymmetric interactions. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.11) | |
| A reaction: This is usually the transfer of energy. I liked the theory until I read this. |
| 22614 | Interventionist causal theory says it gets a reliable result whenever you manipulate it [Ingthorsson] |
| Full Idea: The core of agency and interventionist theories of causation is that c counts as the cause of e iff E reliably appears and disappears when you manipulate C. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 2.1) | |
| A reaction: [C is the type of c; E is the type of e] James Woodward champions this view. Ingthorsson objects that the theory offers no explanation of the appearances and disappearances. You can't manipulate black holes… |
| 22639 | Causal events are always reciprocal, and there is no distinction of action and reaction [Ingthorsson] |
| Full Idea: I accept the reciprocity of interactions, and abandon the Agent vs.Patient distinction, so we can no longer talk of the contribution of each as ontologically different types of cause. In interactions, neither action nor reaction can be separated. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 10.3) | |
| A reaction: His point is that we are misled by real world happenings, where one component is usually more powerful than the other (such as ball dropped onto a pillow). Modern science endorses his view. Mumford and Anjum seem to agree, and so do I. |
| 22615 | One effect cannot act on a second effect in causation, because the second doesn't yet exist [Ingthorsson] |
| Full Idea: Hobbes implies that a Kim-style event e1 existing at t1 cannot possibly act on an effect e2 at t2, because that effect does not exist until the Agent has worked its effect on the Patient to provoke a change, thus bringing the effect into existence. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 3.08) | |
| A reaction: [Hobbes Elements of Phil 1656 II.IX.1] Ingthorsson says that the Hobbes view is the traditional 'standard' view, that objects (and not events) are the causal relata. A strong objection to events as the causal relata. Realists need objects. |
| 22616 | Empiricists preferred events to objects as the relata, because they have observable motions [Ingthorsson] |
| Full Idea: It is the empiricists' refusal to deal with anything other than observable events that motivated the shift in conception of efficient causation …to influence by an event on another event (one motion on another) rather than by an object on an object. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 3.10) | |
| A reaction: I suppose events supply the necessary activity, whereas objects seem to be too passive for the job - because that's how they look. Ingthorsson persuades that objects are the correct causal relata, for those of us who believe in powers. |
| 22617 | Science now says all actions are reciprocal, not unidirectional [Ingthorsson] |
| Full Idea: It is now accepted as a fact of modern science that unidirectional actions do not exist, and that all interactions are instead thoroughly reciprocal. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 3.10) | |
| A reaction: Ingthorsson says this undermines the standard traditional view (Hobbes etc) of Agent and Patient, with A having active powers and P having passive powers. All influences are mutual, it seems. Passive powers are active structures? |
| 22619 | Causes are not agents; the whole interaction is the cause, and the changed compound is the effect [Ingthorsson] |
| Full Idea: By abandoning the standard view that causes are ‘extrinsic motive Agents’, an idea from pre-Newtonian physics, we are free to conceive of the interaction as a whole as the cause, and the change in the compound whole of interacting things as the effect. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.06) | |
| A reaction: Ingthorsson persuasively presents this as the correct account, as understood by modern science. It is not cause-then-effect. It is kerfuffle, then aftermath. |
| 22635 | People only accept the counterfactual when they know the underlying cause [Ingthorsson] |
| Full Idea: I doubt that anyone will accept any counterfactual as true unless they believe they know the underlying causality. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 9.3) | |
| A reaction: Correct. Almost any example will support it. Compare coincidences and true causes. |
| 22634 | Counterfactuals don't explain causation, but causation can explain counterfactuals [Ingthorsson] |
| Full Idea: I cannot identify any prima facie reason to think that causation can be explained in counterfactual terms, but plenty to think that causation can explain counterfactuals. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 9.1) | |
| A reaction: Love it. Treating causation as counterfactual dependency is hopelessly superficial. What is the reality that is involved? He cites the second law of motion. |
| 22637 | Counterfactual theories are false in possible worlds where causation is actual [Ingthorsson] |
| Full Idea: if there are worlds where there are causal powers and/or lawful connections, then they are worlds in which the counterfactual theory of causation is false, because there causes produce the effects, regardless of any possible world. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 9.6) | |
| A reaction: A nice modern instance of turning the tables. Come to think of it, possible worlds theories are just asking for that. Are there possible worlds in which there are no other possible worlds? Or the possible worlds are inaccessible? |
| 22624 | A cause can fail to produce its normal effect, by prevention, pre-emption, finks or antidotes [Ingthorsson] |
| Full Idea: Counterexamples involving prevention and/or interference have come to be roughly divided into four main categories: (i) prevention, (ii) pre-emption, (iii) finks and (iv) antidotes. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 5.3) | |
| A reaction: These are the reasons why necessity is denied in causation. i) is in the initial circumstances, ii) is another cause getting there first, iii) is a defusing action in the agent, iv) is a defusing action in the patient. No necessity if one is possible. |
| 22622 | Any process can go backwards or forwards in time without violating the basic laws of physics [Ingthorsson] |
| Full Idea: Because it makes no difference to exchange the time variable t with its contrary -t, in the fundamental laws of physics, any process can be described as going either backwards or forwards in time, without violating those laws. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.13) | |
| A reaction: A few philosophers read a lot into this, but I don't. The inverse scenario may not breach the laws of physics, but it does involve time going backwards, which I think we can skip for now. Entropy would be interesting. Can information flow backwards? |
| 22618 | In modern physics the first and second laws of motion (unlike the third) fail at extremes [Ingthorsson] |
| Full Idea: While the first and second laws of motion are known to fail in the domain of very fast-moving and massive objects (i.e. where relativity deviates from classical mechanics) as well as in the quantum realm, the third law is still assumed to hold good. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.04) | |
| A reaction: This implies a universal status for the third law (equal and opposite reactions), which the other two lack. Ingthorsson sees this as crucial for our understanding of causation. |
| 22630 | If particles have decay rates, they can't really be elementary, in the sense of indivisible [Ingthorsson] |
| Full Idea: We may wonder whether the fact that physics has calculated (and for some, confirmed) the decay rate of elementary particles can be a reason to think that they cannot really be ‘elementary’ in the philosophical sense of ‘indivisible’. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 7.6) | |
| A reaction: I don't think anything can ever conclusively be labelled as 'elementary', but this idea offers a reason for doubting whether a candidate particle is so basic. Does decay imply having parts? |
| 22610 | It is difficult to handle presentism in first-order logic [Ingthorsson] |
| Full Idea: Contemporary philosophers are not comfortable with presentism, because it is difficult to deal with presentism in the language of first-order predicate logic. | |
| From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.8) | |
| A reaction: Presumable that logic relies on objects which endure through time, or at least have a past. Second-order logic is better able to deal with processes, which only exist in the present, but nevertheless have an integral past and future. ? |