36 ideas
| 12667 | Metaphysics aims at the simplest explanation, without regard to testability [Ellis] |
| Full Idea: The methodology of metaphysics... is that of arguing to the simplest explanation, without regard to testability. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 1) | |
| A reaction: I love that! I'd be a bit cautious about 'simplest', since 'everything is the output of an ineffable God' is beautifully simple, and brings the whole discussion to a halt. I certainly think metaphysics goes deeper than testing. String Theory? |
| 9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
| Full Idea: ZF set theory is a first-order axiomatization. Variables range over sets, there are no second-order variables, and primitive predicates are just 'equals' and 'member of'. The axiom of extensionality says sets with the same members are identical. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 7) | |
| A reaction: If the eleven members of the cricket team are the same as the eleven members of the hockey team, is the cricket team the same as the hockey team? Our cricket team is better than our hockey team, so different predicates apply to them. |
| 9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
| Full Idea: The main alternative to ZF is two-sorted theories, with some variables ranging over classes. Classes have more generous existence assumptions: there is a universal class, containing all sets, and a class containing all ordinals. Classes are not members. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 7.1.1) | |
| A reaction: My intuition is to prefer strict systems when it comes to logical theories. The whole point is precision. Otherwise we could just think about things, and skip all this difficult symbolic stuff. |
| 12666 | We can base logic on acceptability, and abandon the Fregean account by truth-preservation [Ellis] |
| Full Idea: In logic, acceptability conditions can replace truth conditions, ..and the only price one has to pay for this is that one has to abandon the implausible Fregean idea that logic is the theory of truth preservation. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 1) | |
| A reaction: This has always struck me as correct, given that if you assign T and F in a semantics, they don't have to mean 'true' and 'false', and that you can do very good logic with propositions which you think are entirely false. |
| 9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
| Full Idea: It must not be concluded from the rejection of excluded middle that intuitionistic logic operates with three values: true, false, and neither true nor false. It does not make use of true and false, but only with a construction being a proof. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 8.1) | |
| A reaction: This just sounds like verificationism to me, with all its problems. It seems to make speculative statements meaningless, which can't be right. Realism has lots of propositions which are assumed to be true or false, but also unknowable. |
| 9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
| Full Idea: First-order logic is distinguished by generalizations (quantification) only over objects: second-order logic admits generalizations or quantification over properties or kinds of objects, and over relations between them, and functions defined over them. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 3.1) | |
| A reaction: Second-order logic was introduced by Frege, but is (interestingly) rejected by Quine, because of the ontological commitments involved. I remain unconvinced that quantification entails ontological commitment, so I'm happy. |
| 9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
| Full Idea: There are two ways of characterizing logical truths and correct inference. Proof-theoretic or syntactic characterizations, if the formalization admits of proof or derivation; and model-theoretic or semantic versions, being true in all interpretations. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 3.1) | |
| A reaction: Dummett calls this distinction 'fundamental'. The second one involves truth, and hence meaning, where the first one just responds to rules. ..But how can you have a notion of correctly following a rule, without a notion of truth? |
| 9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
| Full Idea: It can be argued that the notion of ordinal numbers is more fundamental than that of cardinals. To count objects, we must count them in sequence. ..The theory of ordinals forms the substratum of Cantor's theory of cardinals. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 5) | |
| A reaction: Depends what you mean by 'fundamental'. I would take cardinality to be psychologically prior ('that is a lot of sheep'). You can't order people by height without first acquiring some people with differing heights. I vote for cardinals. |
| 12688 | Mathematics is the formal study of the categorical dimensions of things [Ellis] |
| Full Idea: I wish to explore the idea that mathematics is the formal study of the categorical dimensions of things. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 6) | |
| A reaction: Categorical dimensions are spatiotemporal relations and other non-causal properties. Ellis defends categorical properties as an aspect of science. The obvious connection seems to be with structuralism in mathematics. Shapiro is sympathetic. |
| 9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
| Full Idea: The number 4 cannot be characterized solely by its position in a system, because it has different positions in the system of natural numbers and that of the positive whole numbers, whereas these systems have the very same structure. | |
| From: Michael Dummett (The Philosophy of Mathematics [1998], 6.1) | |
| A reaction: Dummett seems to think this is fairly decisive against structuralism. There is also the structure of the real numbers. We will solve this by saying that the wholes are abstracted from the naturals, which are abstracted from the reals. Job done. |
| 12683 | Objects and substances are a subcategory of the natural kinds of processes [Ellis] |
| Full Idea: The category of natural kinds of objects or substances should be regarded simply as a subcategory of the category of the natural kinds of processes. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: This is a new, and interesting, proposal from Ellis (which will be ignored by the philosophical community, as all new theories coming from elderly philosophers are ignored! Cf Idea 12652). A good knowledge of physics is behind Ellis's claim. |
| 12670 | A physical event is any change of distribution of energy [Ellis] |
| Full Idea: We may define a physical event as any change of distribution of energy in any of its forms. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: This seems to result in an awful lot of events. My own (new this morning) definition is: 'An event is a process which can be individuated in time'. Now you just have to work out what a 'process' is, but that's easier than understanding an 'event'. |
| 12673 | Physical properties are those relevant to how a physical system might act [Ellis] |
| Full Idea: We may define a physical property as one whose value is relevant, in some circumstances, to how a physical system is likely to act. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: Fair enough, but can we use the same 'word' property when we are discussing abstractions? Does 'The Enlightenment' have properties? Do very simple things have properties? Can 'red' act, if it isn't part of any physical system? |
| 12665 | I support categorical properties, although most people only want causal powers [Ellis] |
| Full Idea: I want to insist on the existence of a class of categorical properties distinct from causal powers. This is contentious, for there is a growing body of opinion that all properties are causal powers. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], Intro) | |
| A reaction: Alexander Bird makes a case against categorical properties. If what is meant is that 'being an electron' is the key property of an electron, then I disagree (quite strongly) with Ellis. Ellis says they are needed to explain causal powers. |
| 12682 | Essentialism needs categorical properties (spatiotemporal and numerical relations) and dispositions [Ellis] |
| Full Idea: Essentialist metaphysics seem to require that there be at least two kinds of properties in nature: dispositional properties (causal powers, capacities and propensities), and categorical ones (spatiotemporal and numerical relations). | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: At last someone tells us what a 'categorical' property is! Couldn't find it in Stanford! Bird and Molnar reject the categorical ones as true properties. If there are six cats, which cat has the property of being six? Which cat is 'three metres apart'? |
| 12684 | Spatial, temporal and numerical relations have causal roles, without being causal [Ellis] |
| Full Idea: Spatial, temporal and numerical relations can have various causal roles without themselves being instances of causal powers. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: He cites gaps, aggregates, orientations, approaching and receding, as examples of categorical properties which make a causal difference. I would have thought these could be incorporated in accounts of more basic causal powers. |
| 12672 | Properties and relations are discovered, so they can't be mere sets of individuals [Ellis] |
| Full Idea: To regard properties as sets of individuals, and relations as sets of ordered individuals, is to make a nonsense of the whole idea of discovering a new property or relationship. Sets are defined or constructed, not discovered. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: This bizarre view of properties (as sets) drives me crazy, until it dawns on you that they are just using the word 'property' in a different way, probably coextensively with 'predicate', in order to make the logic work. |
| 12676 | Causal powers can't rest on things which lack causal power [Ellis] |
| Full Idea: A causal power can never be dependent on anything that does not have any causal powers. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: Sounds right, though you worry when philosophers make such bold assertions about such extreme generalities. But see Idea 12667. This is, of course, the key argument for saying that causal powers are the bedrock of reality, and of explanation. |
| 23781 | Categoricals exist to influence powers. Such as structures, orientations and magnitudes [Ellis, by Williams,NE] |
| Full Idea: Ellis allows categoricals alongside powers, …to influence the sort of manifestations produced by powers. He lists structures, arrangements, distances, orientations, and magnitudes. | |
| From: report of Brian Ellis (The Metaphysics of Scientific Realism [2009]) by Neil E. Williams - The Powers Metaphysics 05.2 | |
| A reaction: I would have thought that all of these could be understood as manifestations of powers. The odd one out is distances, but then space and time are commonly overlooked in every attempt to produce a complete ontology. [also Molnar 2003:164]. |
| 12686 | Causal powers are a proper subset of the dispositional properties [Ellis] |
| Full Idea: The causal powers are just a proper subset of the dispositional properties. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 5) | |
| A reaction: Sounds wrong. Causal powers have a physical reality, while a disposition sounds as if it can wholly described by a counterfactual claim. It seems better to say that things have dispositions because they have powers. |
| 12699 | A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz] |
| Full Idea: Without soul or form of some kind, a body would have no being, because no part of it can be designated which does not in turn consist of more parts. Thus nothing could be designated in a body which could be called 'this thing', or a unity. | |
| From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1988), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1 | |
| A reaction: The locution 'soul or form' is disconcerting, and you have to spend some time with Leibniz to get the hang of it. The 'soul' is not intelligent, and is more like a source of action and response. |
| 12685 | Categorical properties depend only on the structures they represent [Ellis] |
| Full Idea: I would define categorical properties as those whose identities depend only on the kinds of structures they represent. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3 n8) | |
| A reaction: Aha. So categorical properties would be much more perspicaciously labelled as 'structural' properties. Why does philosophical terminology make it all more difficult than it needs to be? |
| 12700 | Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz] |
| Full Idea: Substantial form, or soul, is the principle of unity and duration, matter is that of multiplicity and change | |
| From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1398-9), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 2 | |
| A reaction: Leibniz was a fan of the unfashionable Aristotle, and tried to put a spin on his views consonant with contemporary Hobbesian mechanistic views. Oddly, he likes the idea that 'form' is indestructable, which I don't understand. |
| 12679 | A real essence is a kind's distinctive properties [Ellis] |
| Full Idea: A distinctive set of intrinsic properties for a given kind is called a 'real essence'. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: Note that he thinks essence is a set of properties (rather than what gives rise to the properties), and that it is kinds (and not individuals) which have real essences, and that one role of the properties is to be 'distinctive' of the kind. Cf. Oderberg. |
| 12668 | Metaphysical necessity holds between things in the world and things they make true [Ellis] |
| Full Idea: Metaphysical necessitation is the relation that holds between things in the world and the things they make true. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 1) | |
| A reaction: Not sure about that. It implies that it is sentences that have necessity, and he confirms it by calling it 'a semantic relation'. So there are no necessities if there are no sentences? Not the Brian Ellis we know and love. |
| 12687 | Metaphysical necessities are those depending on the essential nature of things [Ellis] |
| Full Idea: A metaphysically necessary proposition is one that is true in virtue of the essential nature of things. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 6) | |
| A reaction: It take this to be what Kit Fine argues for, though it tracks back to Aristotle. I also take it to be correct, though one might ask whether there are any other metaphysical necessities, ones not depending on essences. |
| 12736 | If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber] |
| Full Idea: Insofar as we have some insight into how God chooses, we can know a priori the laws of nature that God chooses for this best of all possible worlds. In this way, it is possible to have genuine a priori knowledge of contingent truths. | |
| From: report of Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.1998-9) by Daniel Garber - Leibniz:Body,Substance,Monad 6 | |
| A reaction: I think it would be doubtful whether our knowledge of God's choosings would count as a priori. How do we discover them? Ah! We derive God from the ontological argument, and his choosings from the divine perfection implied thereby. |
| 12669 | Science aims to explain things, not just describe them [Ellis] |
| Full Idea: The primary aim of science is to explain what happens, not just to describe it. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: This I take to be a good motto for scientific essentialism. Any scientist who is happy with anything less than explanation is a mere journeyman, a servant in the kitchens of the great house of science. |
| 12698 | Every body contains a kind of sense and appetite, or a soul [Leibniz] |
| Full Idea: I believe that there is in every body a kind of sense and appetite, or a soul. | |
| From: Gottfried Leibniz (Conspectus libelli (book outline) [1678], A6.4.2010), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1 | |
| A reaction: Note that he never says that there is any intelligence present. This eventually becomes his monadology, but Leibniz is the most obvious post-Greek philosopher to flirt with panpsychism. |
| 12681 | There are natural kinds of processes [Ellis] |
| Full Idea: There are natural kinds of processes. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: Interesting. I am tempted by the view that processes are the most basic feature of reality, since I think of the mind as a process, and quantum reality seems more like processes than like objects. |
| 12680 | Natural kind structures go right down to the bottom level [Ellis] |
| Full Idea: Natural kind structures go all the way down to the most basic levels of existence. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: Even the bottom level? Is there anything to explain why the bottom level is a kind, given that all the higher kinds presumably have an explanation? |
| 12675 | Laws of nature are just descriptions of how things are disposed to behave [Ellis] |
| Full Idea: The laws of nature must be supposed to be just descriptions of the ways in which things are intrinsically disposed to behave: of how they would behave if they existed as closed and isolated systems. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 3) | |
| A reaction: I agree with this, and therefore take 'laws of nature' to be eliminable from any plausible ontology (which just contains the things and their behaviour). Ellis tends to defend laws, when he doesn't need to. |
| 12671 | I deny forces as entities that intervene in causation, but are not themselves causal [Ellis] |
| Full Idea: The classical conception of force is an entity that intervenes between a physical cause and its effect, but is not itself a physical cause. I see no reason to believe in forces of this kind. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: The difference of view between Leibniz and Newton is very illuminating on this one (coming this way soon!). Can you either have forces and drop causation, or have causation and drop forces? |
| 12674 | Energy is the key multi-valued property, vital to scientific realism [Ellis] |
| Full Idea: Perhaps the most important of all multi-valued properties is energy itself. I think a scientific realist must believe that energy exists. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 2) | |
| A reaction: It's odd that the existence of the most basic thing in physics needs a credo from a certain sort of believer. I have been bothered by notion of 'energy' for fifty years, and am still none the wiser. I'm sure I could be scientific realist without it. |
| 12689 | Simultaneity can be temporal equidistance from the Big Bang [Ellis] |
| Full Idea: Cosmologists have a concept of objective simultaneity, which they take to mean something like 'temporally equidistant from the Big Bang'. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 6) | |
| A reaction: I find this very appealing, when faced with all the relativity theory that tells me there is no such thing as global simultaneity, a claim which I find deeply counterintuitive, but seems to have the science on its side. Bravo. |
| 12690 | The present is the collapse of the light wavefront from the Big Bang [Ellis] |
| Full Idea: The global wavefront that collapses when a light signal from the Big Bang is observed is what most plausibly defines the frontier between past and future. | |
| From: Brian Ellis (The Metaphysics of Scientific Realism [2009], 6) | |
| A reaction: I'm not sure I understand this, but it is clearly worth passing on. Of all the deep mysteries, the 'present' time may be the deepest. |