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All the ideas for 'The Metaphysics of Scientific Realism', 'On the Notion of Cause' and 'Mathematical logic and theory of types'

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41 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
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?
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophers usually learn science from each other, not from science [Russell]
     Full Idea: Philosophers are too apt to take their views on science from each other, not from science.
     From: Bertrand Russell (On the Notion of Cause [1912], p.178)
     A reaction: This wasn't true of Russell, but it is certainly true of me. I rely on philosophical researchers to find the interesting bits of science for me (like blindsight). Memo to myself: read more science.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
     Full Idea: Russell held that classes can be reduced to propositional functions.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Robert Hanna - Rationality and Logic 2.4
     A reaction: The exact nature of a propositional function is disputed amongst Russell scholars (though it is roughly an open sentence of the form 'x is red').
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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.
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
     Full Idea: The class of teaspoons isn't a teaspoon, so isn't a member of itself; but the class of non-teaspoons is a member of itself. The class of all classes which are not members of themselves is a member of itself if it isn't a member of itself! Paradox.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by A.C. Grayling - Russell Ch.2
     A reaction: A very compressed version of Russell's famous paradox, often known as the 'barber' paradox. Russell developed his Theory of Types in an attempt to counter the paradox. Frege's response was to despair of his own theory.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
     Full Idea: Russell's reaction to his paradox (by creating his theory of types) seems extreme, because many cases of self-exemplification are innocuous. The property of being a property is itself a property.
     From: comment on Bertrand Russell (Mathematical logic and theory of types [1908]) by Chris Swoyer - Properties 7.5
     A reaction: Perhaps it is not enough that 'many cases' are innocuous. We are starting from philosophy of mathematics, where precision is essentially. General views about properties come later.
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
     Full Idea: Unfortunately, Russell's new logic, as well as preventing the deduction of paradoxes, also prevented the deduction of mathematics, so he supplemented it with additional axioms, of Infinity, of Choice, and of Reducibility.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Alan Musgrave - Logicism Revisited §2
     A reaction: The first axiom seems to be an empirical hypothesis, and the second has turned out to be independent of logic and set theory.
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
     Full Idea: Russell's theory of types avoided the paradoxes, but it had the result that features common to different levels of the hierarchy become uncapturable (since any attempt to capture them would involve a predicate which disobeyed the hierarchy restrictions).
     From: comment on Bertrand Russell (Mathematical logic and theory of types [1908]) by Michael Morris - Guidebook to Wittgenstein's Tractatus 2H
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
     Full Idea: A defence of the ramified theory of types comes in seeing it as a system of intensional logic which includes the 'no class' account of sets, and indeed the whole development of mathematics, as just a part.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Bernard Linsky - Russell's Metaphysical Logic 6.1
     A reaction: So Linsky's basic project is to save logicism, by resting on intensional logic (rather than extensional logic and set theory). I'm not aware that Linsky has acquired followers for this. Maybe Crispin Wright has commented?
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
     Full Idea: The idea is that the same set may well have different canonical specifications, i.e. there may be different ways of stating its membership conditions, and so long as one of these is predicative all is well. If none are, the supposed set does not exist.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by David Bostock - Philosophy of Mathematics 8.1
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
     Full Idea: It is a conceptualist approach that Russell is relying on. ...The view is that some abstract objects ...exist only because they are definable. It is the definition that would (if permitted) somehow bring them into existence.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by David Bostock - Philosophy of Mathematics 8.1
     A reaction: I'm suddenly thinking that predicativism is rather interesting. Being of an anti-platonist persuasion about abstract 'objects', I take some story about how we generate them to be needed. Psychological abstraction seems right, but a bit vague.
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
     Full Idea: The Vicious Circle Principle says, roughly, that whatever involves, or presupposes, or is only definable in terms of, all of a collection cannot itself be one of the collection.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908], p.63,75) by David Bostock - Philosophy of Mathematics 8.1
     A reaction: This is Bostock's paraphrase of Russell, because Russell never quite puts it clearly. The response is the requirement to be 'predicative'. Bostock emphasises that it mainly concerns definitions. The Principle 'always leads to hierarchies'.
7. Existence / B. Change in Existence / 2. Processes
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.
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
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'.
8. Modes of Existence / B. Properties / 5. Natural Properties
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?
8. Modes of Existence / B. Properties / 6. Categorical Properties
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.
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'?
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.
8. Modes of Existence / B. Properties / 11. Properties as Sets
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.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
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.
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
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].
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
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.
9. Objects / C. Structure of Objects / 1. Structure of an Object
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?
9. Objects / D. Essence of Objects / 5. Essence as Kind
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.
10. Modality / A. Necessity / 2. Nature of Necessity
'Necessary' is a predicate of a propositional function, saying it is true for all values of its argument [Russell]
     Full Idea: 'Necessary' is a predicate of a propositional function, meaning that it is true for all possible values of its argument or arguments. Thus 'If x is a man, x is mortal' is necessary, because it is true for any possible value of x.
     From: Bertrand Russell (On the Notion of Cause [1912], p.175)
     A reaction: This is presumably the intermediate definition of necessity, prior to modern talk of possible worlds. Since it is a predicate about functions, it is presumably a metalinguistic concept, like the semantic concept of truth.
10. Modality / A. Necessity / 5. Metaphysical Necessity
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.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
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.
14. Science / B. Scientific Theories / 2. Aim of Science
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.
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
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.
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
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?
26. Natural Theory / C. Causation / 7. Eliminating causation
The law of causality is a source of confusion, and should be dropped from philosophy [Russell]
     Full Idea: The law of causality, I believe, like much that passes muster among philosophers, is a relic of a bygone age, surviving, like the monarchy, only because it is erroneously supposed to do no harm.
     From: Bertrand Russell (On the Notion of Cause [1912], p.173)
     A reaction: A bold proposal which should be taken seriously. However, if we drop it from scientific explanation, we may well find ourselves permanently stuck with it in 'folk' explanation. What is the alternative?
If causes are contiguous with events, only the last bit is relevant, or the event's timing is baffling [Russell]
     Full Idea: A cause is an event lasting for a finite time, but if cause and effect are contiguous then the earlier part of a changing cause can be altered without altering the effect, and a static cause will exist placidly for some time and then explode into effect.
     From: Bertrand Russell (On the Notion of Cause [1912], p.177)
     A reaction: [very compressed] He concludes that they can't be contiguous (and eventually rejects cause entirely). This kind of problem is the sort of thing that only bothers philosophers - the question of how anything can happen at all. Why change?
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Striking a match causes its igniting, even if it sometimes doesn't work [Russell]
     Full Idea: A may be the cause of B even if there actually are cases of B not following A. Striking a match will be the cause of its igniting, in spite of the fact that some matches are damp and fail to ignite.
     From: Bertrand Russell (On the Notion of Cause [1912], p.185)
     A reaction: An important point, although defenders of the constant conjunction view can cope with it. There is a further regularity between dampness of matches and their failure to strike.
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
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.
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
In causal laws, 'events' must recur, so they have to be universals, not particulars [Russell]
     Full Idea: An 'event' (in a statement of the 'law of causation') is intended to be something that is likely to recur, since otherwise the law becomes trivial. It follows that an 'event' is not some particular, but a universal of which there may be many instances.
     From: Bertrand Russell (On the Notion of Cause [1912], p.179)
     A reaction: I am very struck by this. It may be a key insight into understanding what a law of nature actually is. It doesn't follow that we must be realists about universals, but the process of abstraction from particulars is at the heart of generalisation.
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
The constancy of scientific laws rests on differential equations, not on cause and effect [Russell]
     Full Idea: It is not in the sameness of causes and effects that the constancy of scientific law consists, but in sameness of relations. And even 'sameness of relations' is too simple a phrase; 'sameness of differential equations' is the only correct phrase.
     From: Bertrand Russell (On the Notion of Cause [1912], p.186)
     A reaction: This seems to be a commitment to the regularity view, since there is nothing more to natural law than that the variables keeping obeying the equations. It also seems to be a very instrumentalist view.
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
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?
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
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.
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
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.
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
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.