Combining Philosophers

All the ideas for Eubulides, David Wiggins and Hartry Field

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130 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We learn a concept's relations by using it, without reducing it to anything [Wiggins]
     Full Idea: We can achieve a lot by elucidations that put a concept to use without attempting to reduce it but, in using the concept, exhibit its connexions with other concepts that are established.
     From: David Wiggins (Sameness and Substance Renewed [2001], Pr.3)
     A reaction: This seems to be the best line of defence for analytic philosophy, given the much-cited observation that no one has successful reduced any concept by pure analysis.
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Semantic facts are preferable to transcendental philosophical fiction [Wiggins]
     Full Idea: Semantical fact is almost always more interesting than transcendental philosophical fiction.
     From: David Wiggins (Sameness and Substance [1980], 3.1 n4)
     A reaction: An interesting expression of a more sophisticated recent allegiance to linguistic philosophy. There is still a strong allegiance to semantics as a major branch of philosophy, despite caution (e.g. from Nathan Salmon) about its scope.
2. Reason / F. Fallacies / 4. Circularity
Maybe reasonableness requires circular justifications - that is one coherentist view [Field,H]
     Full Idea: It is not out of the question to hold that without circular justifications there is no reasonableness at all. That is the view of a certain kind of coherence theorist.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 2)
     A reaction: This nicely captures a gut feeling I have had for a long time. Being now thoroughly converted to coherentism, I am drawn to the idea - like a moth to a flame. But how do we distinguish cuddly circularity from its cruel and vicious cousin?
3. Truth / A. Truth Problems / 4. Uses of Truth
The notion of truth is to help us make use of the utterances of others [Field,H]
     Full Idea: I suspect that the original purpose of the notion of truth was to aid us in utilizing the utterances of others in drawing conclusions about the world,...so we must attend to its social role, and that being in a position to assert something is what counts.
     From: Hartry Field (Tarski's Theory of Truth [1972], §5)
     A reaction: [Last bit compressed] This sounds excellent. Deflationary and redundancy views are based on a highly individualistic view of utterances and truth, but we need to be much more contextual and pragmatic if we are to get the right story.
3. Truth / A. Truth Problems / 9. Rejecting Truth
In the early 1930s many philosophers thought truth was not scientific [Field,H]
     Full Idea: In the early 1930s many philosophers believed that the notion of truth could not be incorporated into a scientific conception of the world.
     From: Hartry Field (Tarski's Theory of Truth [1972], §3)
     A reaction: This leads on to an account of why Tarski's formal version was so important, and Field emphasises Tarski's physicalist metaphysic.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
     Full Idea: Tarski can be viewed as having reduced truth to reference or denotation.
     From: report of Hartry Field (Tarski's Theory of Truth [1972]) by William D. Hart - The Evolution of Logic 4
Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
     Full Idea: A proper account of Tarski's truth definition explains truth in terms of three other semantic notions: what it is for a name to denote something, and for a predicate to apply to something, and for a function symbol to be fulfilled by a pair of things.
     From: Hartry Field (Tarski's Theory of Truth [1972])
     A reaction: This is Field's 'T1' version, which is meant to spell out what was really going on in Tarski's account.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Tarski just reduced truth to some other undefined semantic notions [Field,H]
     Full Idea: It is normally claimed that Tarski defined truth using no undefined semantic terms, but I argue that he reduced the notion of truth to certain other semantic notions, but did not in any way explicate these other notions.
     From: Hartry Field (Tarski's Theory of Truth [1972], §0)
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara]
     Full Idea: Field commits himself to a Platonic view of mathematics. The theorems of set theory are held to imply or presuppose the existence of things that don't in fact exist. That is why he believes that these theorems are false.
     From: report of Hartry Field (Science without Numbers [1980]) by Charles Chihara - A Structural Account of Mathematics 11.1
     A reaction: I am sympathetic to Field, but this sounds wrong. A response that looks appealing is that maths is hypothetical ('if-thenism') - the truth is in the logical consequences, not in the ontological presuppositions.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro]
     Full Idea: Field defines logical consequence by taking the notion of 'logical possibility' as primitive. Hence q is a consequence of P if the conjunction of the items in P with the negation of q is not possible.
     From: report of Hartry Field (Science without Numbers [1980]) by Stewart Shapiro - Philosophy of Mathematics 7.2
     A reaction: The question would then be whether it is plausible to take logical possibility as primitive. Presumably only intuition could support it. But then intuition will equally support natural and metaphysical possibilities.
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
(λx)[Man x] means 'the property x has iff x is a man'. [Wiggins]
     Full Idea: The Lambda Abstraction Operator: We can write (λx)[Man x], which may be read as 'the property that any x has just if x is a man'.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.2)
     A reaction: This technical device seems to be a commonplace in modern metaphysical discussions. I'm assuming it can be used to discuss properties without venturing into second-order logic. Presumably we could call the property here 'humanity'.
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
     Full Idea: Model theory must choose the denotations of the primitives so that all of a group of sentences come out true, so we need a theory of how the truth value of a sentence depends on the denotation of its primitive nonlogical parts, which Tarski gives us.
     From: Hartry Field (Tarski's Theory of Truth [1972], §1)
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory is unusual in restricting the range of the quantifiers [Field,H]
     Full Idea: In model theory we are interested in allowing a slightly unusual semantics for quantifiers: we are willing to allow that the quantifier not range over everything.
     From: Hartry Field (Tarski's Theory of Truth [1972], n 5)
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
     Full Idea: The 'undetected' or 'veiled' paradox of Eubulides says: if you know your father, and don't know the veiled person before you, but that person is your father, you both know and don't know the same person.
     From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School
     A reaction: Essentially an uninteresting equivocation on two senses of "know", but this paradox comes into its own when we try to give an account of how linguistic reference works. Frege's distinction of sense and reference tried to sort it out (Idea 4976).
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
     Full Idea: The liar paradox of Eubulides says 'if you state that you are lying, and state the truth, then you are lying'.
     From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School
     A reaction: (also Cic. Acad. 2.95) Don't say it, then. These kind of paradoxes of self-reference eventually lead to Russell's 'barber' paradox and his Theory of Types.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
     Full Idea: The 'sorites' paradox of Eubulides says: if you take one grain of sand from a heap (soros), what is left is still a heap; so no matter how many grains of sand you take one by one, the result is always a heap.
     From: report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School
     A reaction: (also Cic. Acad. 2.49) This is a very nice paradox, which goes to the heart of our bewilderment when we try to fully understand reality. It homes in on problems of identity, as best exemplified in the Ship of Theseus (Ideas 1212 + 1213).
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
If mathematical theories conflict, it may just be that they have different subject matter [Field,H]
     Full Idea: Unlike logic, in the case of mathematics there may be no genuine conflict between alternative theories: it is natural to think that different theories, if both consistent, are simply about different subjects.
     From: Hartry Field (Recent Debates on the A Priori [2005], 7)
     A reaction: For this reason Field places logic at the heart of questions about a priori knowledge, rather than mathematics. My intuitions make me doubt his proposal. Given the very simple basis of, say, arithmetic, I would expect all departments to connect.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
In Field's version of science, space-time points replace real numbers [Field,H, by Szabó]
     Full Idea: Field's nominalist version of science develops a version of Newtonian gravitational theory, where no quantifiers range over mathematical entities, and space-time points and regions play the role of surrogates for real numbers.
     From: report of Hartry Field (Science without Numbers [1980]) by Zoltán Gendler Szabó - Nominalism 5.1
     A reaction: This seems to be a very artificial contrivance, but Field has launched a programme for rewriting science so that numbers can be omitted. All of this is Field's rebellion against the Indispensability Argument for mathematics. I sympathise.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Maybe the concept needed under which things coincide must also yield a principle of counting [Wiggins]
     Full Idea: My thesis C says that to specify something or other under which a and b coincide is to specify a concept f which qualifies for this purpose only if it yields a principle of counting for fs. ...I submit that C is false, though a near miss.
     From: David Wiggins (Sameness and Substance [1980], 1.1)
The sortal needed for identities may not always be sufficient to support counting [Wiggins]
     Full Idea: My principle C seems unnecessary ...since it is one thing to see how many fs there are...but another to have a perfectly general method. ...One could answer whether this f-compliant is the same as that one, but there are too many ways to articulate it.
     From: David Wiggins (Sameness and Substance [1980], 2.8)
     A reaction: His famous example is trying to count the Pope's crown, which is made of crowns. A clearer example might be a rectangular figure divided up into various overlapping rectangles. Individuation is easy, but counting is contextual.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H]
     Full Idea: There are two approaches to axiomatising geometry. The 'metric' approach uses a function which maps a pair of points into the real numbers. The 'synthetic' approach is that of Euclid and Hilbert, which does without real numbers and functions.
     From: Hartry Field (Science without Numbers [1980], 5)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H]
     Full Idea: There is one and only one serious argument for the existence of mathematical entities, and that is the Indispensability Argument of Putnam and Quine.
     From: Hartry Field (Science without Numbers [1980], p.5), quoted by Stewart Shapiro - Thinking About Mathematics 9.1
     A reaction: Personally I don't believe (and nor does Field) that this gives a good enough reason to believe in such things. Quine (who likes 'desert landscapes' in ontology) ends up believing that sets are real because of his argument. Not for me.
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H]
     Full Idea: The most popular approach of nominalistically inclined philosophers is to try to reinterpret mathematics, so that its terms and quantifiers only make reference to, say, physical objects, or linguistic expressions, or mental constructions.
     From: Hartry Field (Science without Numbers [1980], Prelim)
     A reaction: I am keen on naturalism and empiricism, but only referring to physical objects is a non-starter. I think I favour constructions, derived from the experience of patterns, and abstracted, idealised and generalised. Field says application is the problem.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro]
     Full Idea: Field argues that to account for the applicability of mathematics, we need to assume little more than the possibility of the mathematics, not its truth.
     From: report of Hartry Field (Science without Numbers [1980]) by Stewart Shapiro - Philosophy of Mathematics 7.2
     A reaction: Very persuasive. We can apply chess to real military situations, provided that chess isn't self-contradictory (or even naturally impossible?).
Hilbert explains geometry, by non-numerical facts about space [Field,H]
     Full Idea: Facts about geometric laws receive satisfying explanations, by the intrinsic facts about physical space, i.e. those laid down without reference to numbers in Hilbert's axioms.
     From: Hartry Field (Science without Numbers [1980], 3)
     A reaction: Hilbert's axioms mention points, betweenness, segment-congruence and angle-congruence (Field 25-26). Field cites arithmetic and geometry (as well as Newtonian mechanics) as not being dependent on number.
Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H]
     Full Idea: Field needs the notion of logical consequence in second-order logic, but (since this is not recursively axiomatizable) this is a semantical notion, which involves the idea of 'true in all models', a set-theoretic idea if there ever was one.
     From: comment on Hartry Field (Science without Numbers [1980], Ch.4) by James Robert Brown - Philosophy of Mathematics
     A reaction: Brown here summarises a group of critics. Field was arguing for modern nominalism, that actual numbers could (in principle) be written out of the story, as useful fictions. Popper's attempt to dump induction seemed to need induction.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H]
     Full Idea: No clear explanation of the idea that the conclusion was 'implicitly contained in' the premises was ever given, and I do not believe that any clear explanation is possible.
     From: Hartry Field (Science without Numbers [1980], 1)
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Abstractions can form useful counterparts to concrete statements [Field,H]
     Full Idea: Abstract entities are useful because we can use them to formulate abstract counterparts of concrete statements.
     From: Hartry Field (Science without Numbers [1980], 3)
     A reaction: He defends the abstract statements as short cuts. If the concrete statements were 'true', then it seems likely that the abstract counterparts will also be true, which is not what fictionalism claims.
Mathematics is only empirical as regards which theory is useful [Field,H]
     Full Idea: Mathematics is in a sense empirical, but only in the rather Pickwickian sense that is an empirical question as to which mathematical theory is useful.
     From: Hartry Field (Science without Numbers [1980], 1)
     A reaction: Field wants mathematics to be fictions, and not to be truths. But can he give an account of 'useful' that does not imply truth? Only in a rather dubiously pragmatist way. A novel is not useful.
Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
     Full Idea: The fictionalist can say that the sense in which '2+2=4' is true is pretty much the same as the sense in which 'Oliver Twist lived in London' is true. They are true 'according to a well-known story', or 'according to standard mathematics'.
     From: Hartry Field (Realism, Mathematics and Modality [1989], 1.1.1), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 6.3
     A reaction: The roots of this idea are in Carnap. Fictionalism strikes me as brilliant, but poisonous in large doses. Novels can aspire to artistic truth, or to documentary truth. We invent a fiction, and nudge it slowly towards reality.
Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H]
     Full Idea: Why regard the axioms of standard mathematics as truths, rather than as fictions that for a variety of reasons mathematicians have become interested in?
     From: Hartry Field (Science without Numbers [1980], p.viii)
7. Existence / A. Nature of Existence / 6. Criterion for Existence
What exists can't depend on our conceptual scheme, and using all conceptual schemes is too liberal [Sider on Wiggins]
     Full Idea: It would be incredible if what there is, rather than what we select for attention, depends on human activity and our conceptual scheme. One might expand to possible sortal concepts, rather than our language, but that amounts to four-dimensionalism.
     From: comment on David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3
     A reaction: [compression of a nice anti-Wiggins paragraph] He suggests that Wiggins is seeking an intermediate course (between narrow chauvinism about concepts, and excessive liberalism) in a discussion of natural kinds versus artifacts.
7. Existence / D. Theories of Reality / 2. Realism
Realist Conceptualists accept that our interests affect our concepts [Wiggins]
     Full Idea: The realist conceptualist may cheerfully admit that the sortal concepts of which we are possessed are the creatures of our interests; …and also that there need be no one way in which we must articulate reality.
     From: David Wiggins (Sameness and Substance [1980], 5.2)
     A reaction: Wiggins calls himself a 'realist conceptualist'. In his terminology, I seem to be an 'anti-conceptualist realist'. The issue concerns aspects of reality that extend beyond our concepts. The 99th d.p. of the mass of the electron.
Conceptualism says we must use our individuating concepts to grasp reality [Wiggins]
     Full Idea: What Conceptualism entails is that, although horses and stars are not inventions or artefacts, in order to single out these things we must deploy a conceptual scheme which has been formed in such a way as to make singling them out possible.
     From: David Wiggins (Sameness and Substance [1980], 5.5)
     A reaction: I don't quite see why the 'singling out' role of the concepts is the only one that generates them, or makes them fit for purpose. In general, of course, our conceptual scheme is necessarily a response to our experience of the world.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
You can reduce ontological commitment by expanding the logic [Field,H]
     Full Idea: One can often reduce one's ontological commitments by expanding one's logic.
     From: Hartry Field (Science without Numbers [1980], p.ix)
     A reaction: I don't actually understand this idea, but that's never stopped me before. Clearly, this sounds like an extremely interesting thought, and hence I should aspire to understand it. So I do aspire to understand it. First, how do you 'expand' a logic?
7. Existence / E. Categories / 3. Proposed Categories
Animal classifications: the Emperor's, fabulous, innumerable, like flies, stray dogs, embalmed…. [Wiggins]
     Full Idea: A Chinese encyclopedia classifies animals as belonging to the Emperor, embalmed, tame, sucking pigs, sirens, fabulous, stray dogs, included in this classification, frenzied, innumerable, drawn with a fine brush, etcetera, or look for afar like flies.
     From: David Wiggins (Sameness and Substance [1980], 5.7 n18)
     A reaction: [This glorious quotation comes from a story by Borges, first spotted by Foucault]
8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation
An ancestral relation is either direct or transitively indirect [Wiggins]
     Full Idea: x bears to y the 'ancestral' of the relation R just if either x bears R to y, or x bears R to some w that bears R to y, or x bears R to some w that bears R to some z that bears R to y, or.....
     From: David Wiggins (Substance [1995], 4.10.1)
     A reaction: A concept invented by Frege (1879).
8. Modes of Existence / B. Properties / 12. Denial of Properties
Field presumes properties can be eliminated from science [Field,H, by Szabó]
     Full Idea: Field regards the eliminability of apparent reference to properties from the language of science as a foregone result.
     From: report of Hartry Field (Science without Numbers [1980]) by Zoltán Gendler Szabó - Nominalism 5.1 n50
     A reaction: Field is a nominalist who also denies the existence of mathematics as part of science. He has a taste for ontological 'desert landscapes'. I have no idea what a property really is, so I think he is on to something.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Substances contain a source of change or principle of activity [Wiggins]
     Full Idea: Substances are things that have a source of change or principle of activity within them.
     From: David Wiggins (Substance [1995], 4.4.1)
     A reaction: A vey significant concession. I think we can talk of 'essences' and 'powers', and drop talk of 'substances'. 'Powers' is a much better word, because it immediately pushes the active ingredient to the forefront.
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H]
     Full Idea: To be able to apply any postulated abstract entities to the physical world, we need impure abstact entities, e.g. functions that map physical objects into pure abstract objects.
     From: Hartry Field (Science without Numbers [1980], 1)
     A reaction: I am a fan of 'impure metaphysics', and this pinpoints my reason very nicely.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Individuation needs accounts of identity, of change, and of singling out [Wiggins]
     Full Idea: A theory of individuation must comprise at least three things: an elucidation of the primitive concept of identity or sameness; what it is to be a substance that persists through change; and what it is for a thinker to single out the same substance.
     From: David Wiggins (Sameness and Substance [1980], Pre 1)
     A reaction: [compressed] Metaphysics seems to need a theory of identity, but I am not yet convinced that it also needs a theory of 'individuation'. Never mind, press on and create one, and see how it looks. Aristotle wanted to explain predication too.
Individuation can only be understood by the relation between things and thinkers [Wiggins]
     Full Idea: Understanding the concepts involved in individuation can only be characterised by reference to observable commerce between things singled out and thinkers who think or find their way around the world precisely by singling them out.
     From: David Wiggins (Sameness and Substance [1980], Pre 1)
     A reaction: I take individuation to be relatively uninteresting, because I understand identity independently of how we single things out, but Wiggins's reliance on sortals implies that the very identity of things in the world is knee deep in mental activity.
We can accept criteria of distinctness and persistence, without making the counterfactual claims [Mackie,P on Wiggins]
     Full Idea: We might agree with Wiggins's theory of individuation, but reject his thesis that a thing's principle of individuation (of distinctness and persistence) must be preserved in all counterfactual situations.
     From: comment on David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 8.7
     A reaction: I'm not even convinced that initial individuation consists of falling under a sortal, and I prefer to discuss the powers of the thing, rather than counterfactual facts about behaviour.
Activity individuates natural things, functions do artefacts, and intentions do artworks [Wiggins]
     Full Idea: What a principle of activity does completely for a natural thing, and the function does imperfectly for an ordinary artefact, the artist's conception of his own making of the work must do for the painting.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.12)
     A reaction: This nicely sums up Wiggins on individuation, and he seems to effectively elide individuation with essence. I certainly feel uneasy that a work of art needs a quite separate account from other artefacts. Surely it is just that we are fussier about them?
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Singling out extends back and forward in time [Wiggins]
     Full Idea: The singling out of a substance at a time reaches backwards and forwards to time before and after that time.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: Presumably this is an inferred history and persistence conditions. Sounds fine in a stable world. We assume (a priori?) that any object will have a space-time line for its duration.
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The idea of 'thisness' is better expressed with designation/predication and particular/universal [Wiggins]
     Full Idea: It is hard to think of anything true and significant that could not be said using the idea of thisness not better said while respectiving the distinctions designation/predication and particular/universal.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.7)
     A reaction: Politis calls 'thisness' the 'ultimate subject of predication', so it is covered in logic by the name for an object. But we need to understand objects, and not just refer to them, and I'm not sure that 'universals' advance our understanding.
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
We never single out just 'this', but always 'this something-or-other' [Wiggins]
     Full Idea: What is singled out is never a bare this or that, but this or that something or other.
     From: David Wiggins (Substance [1995], 4.5.1)
     A reaction: I like, in ontological speculation, to contemplate the problem of the baffling archaeological find. 'This thing I have dug up - what the hell IS it?'. Wiggins is contemptuous of the term 'thisness', and the idea of bare particulars.
'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins]
     Full Idea: 'Ultimate sortals' are said to be non-subordinated, disjoint from one another, and uniquely paired with each object. Because of this, the ultimate sortal cannot be a satisfactory explication of the notion of an ontological category.
     From: comment on David Wiggins (Identity and Spatio-Temporal Continuity [1971], p.75) by Jan Westerhoff - Ontological Categories §26
     A reaction: My strong intuitions are that Wiggins is plain wrong, and Westerhoff gives the most promising reasons for my intuition. The simplest point is that objects can obviously belong to more than one category.
The only singling out is singling out 'as' something [Wiggins]
     Full Idea: There could be no singling out tout court unless there could be singling out 'as'.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: I find this claim baffling. Do animals categorise everything they engage with? Are we unable to engage with something if we have not yet categorised it? Surely picking it out is prior to saying that sort of thing it is?
In Aristotle's sense, saying x falls under f is to say what x is [Wiggins]
     Full Idea: To say that x falls under f - or that x is an f - is to say what x is (in the sense Aristotle isolated).
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: This is a key claim in Wiggins's main principle. I'm not convinced. He wants one main sortal to do all the work. I don't think Aristotle at all intended the 'nature' of an individual thing to be given by a single sortal under which it falls.
Every determinate thing falls under a sortal, which fixes its persistence [Wiggins]
     Full Idea: We can expect that, for every completely determinate continuant, there will be at least one sortal concept that it falls under and that determines a principle of persistence for it.
     From: David Wiggins (Sameness and Substance [1980], 2.4)
     A reaction: I think he has the 'determines' relation the wrong way round! Being a tiger doesn't determine anything about persistence. It is having that nature and those persistence conditions which make it a tiger. And why does he optimistically 'expect' this?
Sortal predications are answers to the question 'what is x?' [Wiggins]
     Full Idea: Predications which answer the question 'what is x?' are often called 'sortal predications' in present-day philosophy.
     From: David Wiggins (Substance [1995], 4.10.1)
     A reaction: The word 'sortal' comes from Locke. Wiggins is the guru of 'sortal essentialism'. I just can't believe that in answer to the question 'what really is David Wiggins?' that he would be happy with a sequence of categorisations.
A river may change constantly, but not in respect of being a river [Wiggins]
     Full Idea: To say that the river is changing constantly in every respect is not to say that it is changing in respect of being a river.
     From: David Wiggins (Substance [1995], 4.11.2)
     A reaction: Can't a river become a lake, or a mere stream? Wiggins's proposal does not help with the problem of a river which sometimes dries up (as my local river sometimes does). At what point do we decide it is no longer a river?
Sortal classification becomes science, with cross reference clarifying individuals [Wiggins]
     Full Idea: The sense of the sortal term under which we pick out an individual expands into the scientific account of things of that kind, where the account clarifies what is at issue in questions of sameness and difference of specimens of that kind.
     From: David Wiggins (Substance [1995], 4.13.1)
     A reaction: This is how the sortal approach is supposed to deal with individuals. So the placid tiger reveals much by falling under 'tiger', and a crucial extra bit by falling under 'placid'. See Idea 12053 for problems with this proposal.
If the kinds are divided realistically, they fall into substances [Wiggins]
     Full Idea: Substance are what the world is articulated into when the segments of kinds corresponds to the real divisions in reality.
     From: David Wiggins (Substance [1995], 4.5.1)
     A reaction: This is very helpful in clarifying Wiggins's very obscurely expressed views. He appears to be saying that if we divide the sheep from the goats correctly, we reveal sheep-substance and goat-substance (one substance per species). Crazy!
'Human being' is a better answer to 'what is it?' than 'poet', as the latter comes in degrees [Wiggins]
     Full Idea: One person can be more or less of a poet than another, so 'poet' is not a conclusory answer to the question 'What is it that is singled out here?' 'Poet' rides on the back of the answer 'human being'.
     From: David Wiggins (Substance [1995], 4.5.1)
     A reaction: So apparently one must assign a natural kind, and not just a class. Wiggins lacks science fiction imagination. In the genetic salad of the far future, being a poet may be more definitive than being a human being. See Idea 12063.
Secondary substances correctly divide primary substances by activity-principles and relations [Wiggins]
     Full Idea: A system of secondary substances with a claim to separate reality into its genuine primary substances must arise from an understanding of a set of principles of activity on the basis of which identities can be glossed in terms of determinate relations.
     From: David Wiggins (Substance [1995], 4.5.1)
     A reaction: I translate this as saying that individual essences are categorised according to principles which explain behaviour and relations. I'm increasingly bewildered by the 'secondary substances' Wiggins got from 'Categories', and loves so much.
A sortal essence is a thing's principle of individuation [Wiggins, by Mackie,P]
     Full Idea: Wiggins bases sortal essentialism on the notion that a thing's principle of individuation is essential to it.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 7.1
     A reaction: This idea has failed to make much impression on me. I seem to be the only person who doesn't understand the concept of 'individuation'. Please let me know exactly what it means. Type individuation is not individual individuation, I presume.
Wiggins's sortal essentialism rests on a thing's principle of individuation [Wiggins, by Mackie,P]
     Full Idea: Wiggins bases sortal essentialism on the notion that a thing's principle of individuation is essential to it.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 7.1
     A reaction: My problem with this is that individuation is a human activity, not an intrinsic feature of the entities in the external world. Entities presumably have a 'unity', but I'm not sure about a 'principle' that does that job, though Aristotle is sympathetic.
The evening star is the same planet but not the same star as the morning star, since it is not a star [Wiggins]
     Full Idea: The evening star is the same planet but not the same star as the morning star. For Venus is not a star.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.3)
     A reaction: This is a nice objection to the idea that identity is entirely a matter of falling under the same sortal category.
'Sortalism' says parts only compose a whole if it falls under a sort or kind [Wiggins, by Hossack]
     Full Idea: 'Sortalism' endorses the view that some things have parts, but denies that every collection of things composes something. Whenever there is a particular, there must be a sort or kind to which it belongs.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Keith Hossack - Plurals and Complexes 7
     A reaction: What is the status of 'the first of its kind'? This seems to say that a token only has identity if it has type-identity. This sounds wildly wrong to me. I've made a 'thing' for you, but I haven't decided what it is yet.
Identity a=b is only possible with some concept to give persistence and existence conditions [Wiggins, by Strawson,P]
     Full Idea: Wiggins says an identity a=b stands no chance of being true unless there is some concept f under which a falls and under which b falls, which 'determines identity, persistence and existence conditions for members of its extension'.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.604
     A reaction: This is the first clear statement I have met of Wiggins's central idea, upon which his sortal essentialism is built. Strawson's exposition adds that each thing necessarily falls under the 'highest' appropriate sortal ('dog', rather than 'terrier').
A thing is necessarily its highest sortal kind, which entails an essential constitution [Wiggins, by Strawson,P]
     Full Idea: In Wiggins's theory, necessity carries over from the kind to constitution. If Toby is necessarily a dog and 'dog' is a natural kind term, then Toby necessarily has the constitution of a dog, the features of which make up the real essence of being a dog.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.605
     A reaction: The essence will then presumably consist of all and only the characteristics which are shared by all dogs whatsoever. So how do you decide the borderline between wolf and dog? Why isn't a wolf a dog?
Many predicates are purely generic, or pure determiners, rather than sortals [Wiggins]
     Full Idea: There are countless predicates in English that have the appearance of sortal predicates but are purely generic (animal, machine, artefact), or are pure determinables for sortal determination (space-occupier, entity, substance).
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.6)
     A reaction: This is preparing the ground for a specification of a sortal which defines something essential as being the hallmark of identity. It is never quite clear to me whether Wiggins's case rests on a nominal or a real essence.
The possibility of a property needs an essential sortal concept to conceive it [Wiggins]
     Full Idea: A thing could have a property only if its having the property could be conceived, and that requires some sortal concept which adequately answers the Aristotelian question what the thing is.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.5)
     A reaction: [Algebra omitted!] The core idea of Wiggins's theory. It seems at first glance to be a revival of Aristotelian essentialism, but his view of that seems to merely involve falling into a category. He treats sortal concepts as Aristotle's 'primary being'.
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
We refer to persisting substances, in perception and in thought, and they aid understanding [Wiggins]
     Full Idea: A substance is a persisting and somehow basic object of reference that is there to be discovered in perception and thought, an object whose claim to be recognized as a real entity is a claim on our aspirations to understand the world.
     From: David Wiggins (Substance [1995], 4.1)
     A reaction: A lot of components are assigned by Wiggins to the concept, and the tricky job, inititiated by Aristotle, is to fit all the pieces together nicely. Personally I am wondering if the acceptance of 'essences' implies dropping 'substances'.
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Objects can only coincide if they are of different kinds; trees can't coincide with other trees [Wiggins, by Sider]
     Full Idea: Wiggins says that coincidence is possible only between objects of different kinds. Trees and cats coincide with aggregates of matter, but never trees with trees or cats with cats.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3
     A reaction: At first glance this sounds quite plausible, but I think this commitment to the priority of kinds produces huge confusion, given that we only derive our notions of kinds from inductions derived from individuals. Language perpetuates old inductions.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Is the Pope's crown one crown, if it is made of many crowns? [Wiggins]
     Full Idea: The Pope's crown is made of crowns. There is no definite answer, when the Pope is wearing his crown, to the question 'how many crowns does he have on his head?'
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.7)
     A reaction: A very nice example, in which the identity of the item seems clear enough, until you try to apply a sortal to it. I can't get excited about it, though, because calling it one 'crown' creates uncertainty, but calling it the 'Pope's crown' doesn't.
Boundaries are not crucial to mountains, so they are determinate without a determinate extent [Wiggins]
     Full Idea: It can be perfectly determinate which mountain x is without x's extent's being determinate. A mountain is not, after all, something essentially demarcated by its extent or boundary.
     From: David Wiggins (Sameness and Substance Renewed [2001], 6.5)
     A reaction: This endorses something I have always wanted to assert ('a vague boundary is still a boundary'), but with the interesting addition that one might think about vagueness in terms of what is essential to a thing. Hm....
9. Objects / C. Structure of Objects / 3. Matter of an Object
Matter underlies things, composes things, and brings them to be [Wiggins]
     Full Idea: Matter ex hypothesi is what ultimately underlies (to huperkeimenon) a thing; it is that from which something comes to be and which remains as a non-coincidental component in the thing's make-up.
     From: David Wiggins (Substance [1995], 192a30)
     A reaction: This is an interesting prelude to the much more comprehensive discussion of matter in Metaphysics, where he crucially adds the notion of 'form', and gives it priority over the underlying matter.
9. Objects / C. Structure of Objects / 5. Composition of an Object
Identity is an atemporal relation, but composition is relative to times [Wiggins, by Sider]
     Full Idea: Wiggins points out that identity is an atemporal relation whereas composition, like parthood, holds only relative to times.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3
     A reaction: If David Cameron is identical to the Prime Minister, that doesn't seem to be atemporal. If x=7 in this problem, I can change x to something else in the next problem. x had better not be equal to 7 and to 9.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
If I destroy an item, I do not destroy each part of it [Wiggins]
     Full Idea: If I repair or destroy an item, I do not repair or destroy each part of it (and since each part of a part is a part this would be difficult).
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.6)
     A reaction: This seems like a nice refutation of any attempt to claim that a thing is no more than the sum of its parts, but one could analyse the notion of 'destroy', and find it just meant introducing gaps between parts.
9. Objects / D. Essence of Objects / 3. Individual Essences
We can forget about individual or particularized essences [Wiggins]
     Full Idea: Let us be realistic, and forget about individual or particularized essences.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.2)
     A reaction: This is the rather weird position you reach if you follow Wiggins's 'modest' essentialism, deriving from a thing merely falling under a sortal, or into a category. What is a natural kind, if its members don't each have a shared essence?
9. Objects / D. Essence of Objects / 5. Essence as Kind
Natural kinds are well suited to be the sortals which fix substances [Wiggins]
     Full Idea: Among the best candidates to play the roles of sortal and substantial predicates are the natural kind words.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: There is always a danger of circularity with this kind of approach. How do we distinguish the genuine natural kinds from the dubious ones?
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Essences are not explanations, but individuations [Wiggins]
     Full Idea: Essences of natural things are not fancified vacuities parading themselves ...as the ultimate explanation of everything that happens in the world. They are natures whose possession is a precondition of their owners being divided from the rest of reality.
     From: David Wiggins (Sameness and Substance Renewed [2001], 5.2)
     A reaction: Thus Wiggins rejects the explanation account of essence, with an assertion of his own (highly implausible) view that essence is about individuation rather than about behaviour. Individuation strikes me as an entirely human activity, and not 'real'.
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essentialism is best represented as a predicate-modifier: □(a exists → a is F) [Wiggins, by Mackie,P]
     Full Idea: Wiggins's proposal of a predicate-modifier account is the best formal representation of essential statements. ...This simple version is perfectly adequate to represent the claim that a is essentially-F: □(a exists → a is F).
     From: report of David Wiggins (Sameness and Substance Renewed [2001], Ch.4) by Penelope Mackie - How Things Might Have Been 1.2
     A reaction: I suppose that is right. Having an essence is a feature of an entity, but it has to boil done to characteristics that define the entity, and which it must presumably always have. Could an entity ever lack its essence?
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Artefacts are individuated by some matter having a certain function [Wiggins]
     Full Idea: Ordinary artefacts are individuated, rather indeterminately and arbitrarily, by reference to a parcel of matter so organised as to subserve a certain function.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
9. Objects / D. Essence of Objects / 13. Nominal Essence
Nominal essences don't fix membership, ignore evolution, and aren't contextual [Wiggins]
     Full Idea: Nominal essences are unsatisfactory because they fail either of necessity or of sufficiency for membership of the intended kind, they leave unexplained how sortals can evolve, and there is no room for culture or context in our reference to kinds.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: [a compression of a paragraph] I would have thought that Locke would just say it is tough luck if nominal essences can't do all these things, because that's just the way it is, folks.
The nominal essence is the idea behind a name used for sorting [Wiggins]
     Full Idea: Things being ranked under Names into sorts only as they agree with certain abstract ideas, to which we have annexed the Names, the essence of each sort comes to nothing but that abstract idea which the sortal name stands for. This is the nominal Essence.
     From: David Wiggins (Sameness and Substance Renewed [2001], III.iii.15)
     A reaction: He contrasts 'nominal essence' with 'real essence'. A key passage for David Wiggins. One shouldn't put too much emphasis on nominal essence, since it means that someone referred to as 'that idiot over there' (you, perhaps) is necessarily an idiot.
9. Objects / E. Objects over Time / 1. Objects over Time
'What is it?' gives the kind, nature, persistence conditions and identity over time of a thing [Wiggins]
     Full Idea: The question 'what is it?' refers to the persistence and lifespan of an entity, and so manifests the identity over time of an entity and its persistence, between persistence and existence, and between its existence and being the kind of thing it is.
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: The idea that establishing the kind of a thing can do all this work strikes me as false. The lifespan of a 'human' can be between five minutes and a hundred years. Humans have a clear death, but thunderstorms don't.
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
It is easier to go from horses to horse-stages than from horse-stages to horses [Wiggins]
     Full Idea: If horse-stages made sense at all, it would be easier to go from horses to horse-stages than to go from horse-stages to horses.
     From: David Wiggins (Sameness and Substance Renewed [2001], 6.9)
     A reaction: A nice remark, analogous to 'it is easier to break a vase than to mend it'. Going from horse-stages to horses is the classic difficulty for 'bundle theories' (of objects, or persons): what is it that unites the bundle?
9. Objects / E. Objects over Time / 7. Intermittent Objects
A restored church is the same 'church', but not the same 'building' or 'brickwork' [Wiggins]
     Full Idea: We can say of Hume's church that the present church is the same 'church' as the old parish church but not the same 'building' or the same 'stonework' as the old parish church.
     From: David Wiggins (Sameness and Substance [1980], 1.5)
     A reaction: Unconvinced. This seems to make a 'church' into an abstraction, which might even exist in the absence of any building. And it seems to identify a building with its stonework. Wiggins yearns for a neat solution, but it ain't here.
A thing begins only once; for a clock, it is when its making is first completed [Wiggins]
     Full Idea: A thing starts existing only once; and in the case of a clock its proper beginning was at about the time when its maker finished it.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
     A reaction: I love the example that challenges this. Take the clock's parts and use them to make other clocks, then collect them up and reassemble the first clock. If the first clock has persisted through this, you have too many clocks. Wiggins spots some of this.
9. Objects / E. Objects over Time / 9. Ship of Theseus
The question is not what gets the title 'Theseus' Ship', but what is identical with the original [Wiggins]
     Full Idea: Let us remember that the title in question is not the title to the sobriquet 'Theseus' Ship'; it is the title to identity with Theseus' ship, a particular ship originating from the eighth century B.C.
     From: David Wiggins (Sameness and Substance Renewed [2001], 3.4)
     A reaction: There is an assumption here that identity is defined by origin. What is the origin of the identity of those huge football clubs that began under the name of some village team in 1875? What is the origin of 'England' as a single entity?
Priests prefer the working ship; antiquarians prefer the reconstruction [Wiggins]
     Full Idea: Dispute might break out between priests who favoured the working ship and antiquarians who preferred the reconstruction.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
     A reaction: This captures the contextual nature of the dispute very succinctly. Wiggins, of course, thinks that sortals will settle the matter. Fat chance.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity over a time and at a time aren't different concepts [Wiggins]
     Full Idea: People often speak of identity over time and distinguish it from identity at a time. But identity is just identity.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.3)
     A reaction: I myself am guilty of such usage, but it doesn't imply a commitment to a multivocal concept. The epistemological issues (of explaining what it is now, and simply reidentifying it later) seem profoundly different. Hume only admits identity over time.
Hesperus=Hesperus, and Phosphorus=Hesperus, so necessarily Phosphorus=Hesperus [Wiggins]
     Full Idea: The simple proof (from Ruth Barcan Marcus) is: Hesperus is necessarily Hesperus, so if Phosphorus is Hesperus, then Phosphorus is necessarily Hesperus.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.3)
     A reaction: This is the famous idea which she noticed well before Kripke. The point is that the simple logic of the case bestows a necessity on the identity. We shouldn't be confused by the a posteriori and contingent nature of the discovery.
9. Objects / F. Identity among Objects / 2. Defining Identity
Identity cannot be defined, because definitions are identities [Wiggins]
     Full Idea: Since any definition is an identity, identity itself cannot be defined.
     From: David Wiggins (Sameness and Substance [1980], 1.2 n7)
     A reaction: This sounds too good to be true! I can't think of an objection, so, okay, identity cannot possibly be defined. We can give synonyms for it, I suppose. [Wrong, says Rumfitt! Definitions can also be equivalences!]
The formal properties of identity are reflexivity and Leibniz's Law [Wiggins]
     Full Idea: The formal properties of identity are the reflexivity of identity, and Leibniz's Law (if x is the same as y, then whatever is true of one is true of the other).
     From: David Wiggins (Sameness and Substance Renewed [2001], Pr.2)
     A reaction: Presumably transitivity will also apply, and, indeed, symmetry. He seems to mean something like the 'axiomatic formal properties'.
Leibniz's Law (not transitivity, symmetry, reflexivity) marks what is peculiar to identity [Wiggins]
     Full Idea: The principle of Leibniz's Law marks off what is peculiar to identity and differentiates it in a way in which transitivity, symmetry and reflexivity (all shared by 'exact similarity, 'equality in pay', etc.) do not.
     From: David Wiggins (Sameness and Substance [1980], 1.2)
Identity is primitive [Wiggins]
     Full Idea: Identity is a primitive notion.
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: To be a true primitive it would have to be univocal, but it seems to me that 'identity' comes in degrees. The primitive concept is the minimal end of the degrees, but there are also more substantial notions of identity.
9. Objects / F. Identity among Objects / 3. Relative Identity
Relative Identity is incompatible with the Indiscernibility of Identicals [Wiggins, by Strawson,P]
     Full Idea: Wiggins argues that Geach's Relative Identity is incompatible with the formal properties of identity, which include, besides transitivity, symmetry and reflexivity, the complete community of properties defined by the Indiscernibility of Identicals.
     From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.603
     A reaction: The tricky part is that Wiggins then goes on to say that identity depends on sortals, which sounds very close to the Geach view. I find disentangling them tricky. See Idea 14363 for a helpful comment from Strawson.
Relativity of Identity makes identity entirely depend on a category [Wiggins]
     Full Idea: The thesis of Relativity of Identity (which I steadfastly oppose) ..suggests that it makes all the difference to keeping track of continuants through space and time which concept one subsumes something under.
     From: David Wiggins (Sameness and Substance Renewed [2001], 1.1)
     A reaction: [Geach I take to be the villain of this idea] The point is that identity is entirely relative to the sortal concept, where Wiggins wants to make identity a combination of the object itself and our concept of it (I think).
To identify two items, we must have a common sort for them [Wiggins]
     Full Idea: As a necessary condition of the truth of an identity claim, some common sort f will have to be found to which they each belong. That is the point at which the primary question of identity can come into focus.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.2)
     A reaction: This is the plainest English expression I can find of Wiggins's main thesis. He maintains this thesis, while adamantly denying the idea that identity consists entirely of falling under a concept.
9. Objects / F. Identity among Objects / 6. Identity between Objects
A is necessarily A, so if B is A, then B is also necessarily A [Wiggins]
     Full Idea: The famous proof of Barcan Marcus about necessity of identity comes down to simply this: Hesperus is necessarily Hesperus, so if Phosphorus is Hesperus, Phosphorus is necessarily Hesperus.
     From: David Wiggins (Sameness and Substance [1980], 4.3)
     A reaction: Since the identity of Hesperus and Phosphorus was an a posteriori discovery, this was taken to be the inception of the idea that there are a posteriori necessities. The conclusion seems obvious. One thing is necessarily one thing.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
By the principle of Indiscernibility, a symmetrical object could only be half of itself! [Wiggins]
     Full Idea: The full Identity of Indiscernibles excludes the existence in this world of a symmetrical object, which is reduced to half of itself by the principle. If symmetrical about all planes that bisect it, it is precluded altogether from existence.
     From: David Wiggins (Sameness and Substance [1980], 2.2)
     A reaction: A really nice objection. Do the parts even need to be symmetrical? My eyeballs can't be identical to one another, presumably. Electrons already gave the principle big trouble.
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Do both 'same f as' and '=' support Leibniz's Law? [Wiggins]
     Full Idea: Is Leibniz's Law as true for 'is the same as' as it is for '='?
     From: David Wiggins (Sameness and Substance Renewed [2001], 1.2)
     A reaction: [By Leibniz's Law he means if they are the same, they support the same truths]
Substitutivity, and hence most reasoning, needs Leibniz's Law [Wiggins]
     Full Idea: Leibniz's Law underwrites the substitutivity of identity and this is a principle not long dispensable in any form of reasoning.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.7)
     A reaction: Thus the modern fashion of deriving our metaphysics from our logic. Presumably we can derive it from our epistemology too, or even from our intuitions, if we thought they were good enough as evidence.
9. Objects / F. Identity among Objects / 9. Sameness
We want to explain sameness as coincidence of substance, not as anything qualitative [Wiggins]
     Full Idea: The notion of sameness or identity that we are to elucidate is not that of any degree of qualitative similarity but of coincidence as a substance - a notion as primitive as predication.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: This question invites an approach to identity through our descriptions of it, rather than to the thing itself. There is no problem in ontology of two substances being 'the same', because they are just one substance.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
It is hard or impossible to think of Caesar as not human [Wiggins]
     Full Idea: It is hard or impossible to conceive of Caesar's not being a man (human).
     From: David Wiggins (Sameness and Substance [1980], 4.5)
     A reaction: So is it 'hard' or is it 'impossible'? Older generations of philosophers simply didn't read enough science fiction. Any short story could feature Caesar's failure to be a man. His assassination was a disaster for the Martian invasion of 44 BCE.
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Possible worlds rest on the objects about which we have suppositions [Wiggins]
     Full Idea: Worlds are the shadows of our suppositions and they take on their identity from these. Suppositions take on their identity from (inter alia) the objects they relate to. If they sever themselves from these objects, then they collapse.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.11)
     A reaction: Sounds good. My picture is of possibilities which are suggested by objecfs in the actual world, with extreme possibilities being at fifth-remove from actuality. Any worlds that go beyond natural possibility are just there for fun.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Not every story corresponds to a possible world [Wiggins]
     Full Idea: It is perfectly notorious that not every story corresponds to a possible world.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.4)
     A reaction: Thus a fantasy castle might be decorated with 'beautiful circular squares', or be threatened by a lump of enriched uranium twenty feet in diameter. Wiggins is replying to the claim that a possible world represents a 'story'.
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
Lots of propositions are default reasonable, but the a priori ones are empirically indefeasible [Field,H]
     Full Idea: Propositions such as 'People usually tell the truth' seem to count as default reasonable, but it is odd to count them as a priori. Empirical indefeasibility seems the obvious way to distinguish those default reasonable propositions that are a priori.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 1)
     A reaction: Sounds reasonable, but it would mean that all the uniformities of nature would then count as a priori. 'Every physical object exerts gravity' probably has no counterexamples, but doesn't seem a priori (even if it is necessary). See Idea 9164.
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
We treat basic rules as if they were indefeasible and a priori, with no interest in counter-evidence [Field,H]
     Full Idea: I argue not that our most basic rules are a priori or empirically indefeasible, but that we treat them as empirically defeasible and indeed a priori; we don't regard anything as evidence against them.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 4)
     A reaction: This is the fictionalist view of a priori knowledge (and of most other things, such as mathematics). I can't agree. Most people treat heaps of a posteriori truths (like the sun rising) as a priori. 'Mass involves energy' is indefeasible a posteriori.
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliability only makes a rule reasonable if we place a value on the truth produced by reliable processes [Field,H]
     Full Idea: Reliability is not a 'factual property'; in calling a rule reasonable we are evaluating it, and all that makes sense to ask about is what we value. We place a high value on the reliability of our inductive and perceptual rules that lead to truth.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 5)
     A reaction: This doesn't seem to be a contradiction of reliabilism, since truth is a pretty widespread epistemological value. If you do value truth, then eyes are pretty reliable organs for attaining it. Reliabilism is still wrong, but not for this reason.
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Believing nothing, or only logical truths, is very reliable, but we want a lot more than that [Field,H]
     Full Idea: Reliability is not all we want in an inductive rule. Completely reliable methods are available, such as believing nothing, or only believing logical truths. But we don't value them, but value less reliable methods with other characteristics.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 3)
     A reaction: I would take this excellent point to be an advertisement for inference to the best explanation, which requires not only reliable inputs of information, but also a presiding rational judge to assess the mass of evidence.
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
People vary in their epistemological standards, and none of them is 'correct' [Field,H]
     Full Idea: We should concede that different people have slightly different basic epistemological standards. ..I doubt that any clear sense could be given to the notion of 'correctness' here.
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 5)
     A reaction: I think this is dead right. There is a real relativism about knowledge, which exists at the level of justification, rather than of truth. The scientific revolution just consisted of making the standards tougher, and that seems to have been a good idea.
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Our sortal concepts fix what we find in experience [Wiggins]
     Full Idea: What sortal concepts we can bring to bear upon experience determines what we can find there.
     From: David Wiggins (Sameness and Substance [1980], 5.6)
     A reaction: Wiggins would wince at being classed among linguistic relativists of the Sapir-Whorf type, but that's where I'm putting this idea. Wiggins is a realist, who knows there are things out there our concepts miss. He compares it to a fishing net. He's wrong.
14. Science / C. Induction / 1. Induction
If we only use induction to assess induction, it is empirically indefeasible, and hence a priori [Field,H]
     Full Idea: If some inductive rule is basic for us, in the sense that we never assess it using any rules other than itself, then it must be one that we treat as empirically indefeasible (hence as fully a priori, given that it will surely have default status).
     From: Hartry Field (Apriority as an Evaluative Notion [2000], 4)
     A reaction: This follows on from Field's account of a priori knowledge. See Ideas 9160 and 9164. I think of induction as simply learning from experience, but if experience goes mad I will cease to trust it. (A rationalist view).
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Beneath every extrinsic explanation there is an intrinsic explanation [Field,H]
     Full Idea: A plausible methodological principle is that underlying every good extrinsic explanation there is an intrinsic explanation.
     From: Hartry Field (Science without Numbers [1980], 5)
     A reaction: I'm thinking that Hartry Field is an Aristotelian essentialist, though I bet he would never admit it.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
The category of substance is more important for epistemology than for ontology [Wiggins]
     Full Idea: For us the importance of the category of substance, if it has any importance, is not so much ontological as relative to our epistemological circumstances and the conditions under which we have to undertake inquiry.
     From: David Wiggins (Substance [1995], 4.13.2)
     A reaction: This seems to be a rather significant concession. Wiggins has revived the notion of substance in recent times, but he is not quite adding it to the furniture of the world. Personally I increasingly think we can dump it, in ontology and epistemology.
Naming the secondary substance provides a mass of general information [Wiggins]
     Full Idea: Answering 'what is it?' with the secondary substance identifies an object with a class of continuants which survive certain changes, come into being in certain ways, are qualified in certain ways, behave in certain ways, and cease to be in certain ways.
     From: David Wiggins (Substance [1995], 4.3.3)
     A reaction: Thus the priority of this sort of answer is that a huge range of explanations immediately flow from it. I take the explanation to be prior, and the primary substance to be prior, since secondary substance is inductively derived from it.
Asking 'what is it?' nicely points us to the persistence of a continuing entity [Wiggins]
     Full Idea: The special effectiveness of the 'what is it?' question is that, in the case of continuants, it refers us back to our constantly exercised idea of the persistence and life-span of an entity.
     From: David Wiggins (Sameness and Substance Renewed [2001], 2.2)
     A reaction: Compare 'this is a human' with 'this is a member of a family noted for its longevity'. We can't simply answer 'what is it?' by tossing it into the nearest category. I say we need an individual essence for explanation, not just a sortal.
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Seeing a group of soldiers as an army is irresistible, in ontology and explanation [Wiggins]
     Full Idea: It seems mandatory to an observer of soldiers to give 'the final touch of unity' to their aggregate entity (the army). ...Similar claims arise with the ontological and explanatory claims of other corporate entities.
     From: David Wiggins (Substance [1995], 4.13.3)
     A reaction: Wiggins must say (following Leibniz Essays II.xxiv,1) that we add the unity, but I take the view that an army has powers, and hence offers explanations, which are lacking in a merely group of disparate soldiers. So an army has an essence and identity.
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
     Full Idea: 'Valence' and 'gene' were perfectly clear long before anyone succeeded in reducing them, but it was their reducibility and not their clarity before reduction that showed them to be compatible with physicalism.
     From: Hartry Field (Tarski's Theory of Truth [1972], §5)
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The mind conceptualizes objects; yet objects impinge upon the mind [Wiggins]
     Full Idea: The mind conceptualizes objects; yet objects impinge upon the mind.
     From: David Wiggins (Sameness and Substance Renewed [2001], 3.6)
     A reaction: I like this piece of simple common sense. I personally don't think you can reach first base in a sensible discussion if you don't face up to both sides of this idea (especially the second half, which many philosophers, especially of language, neglect).
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
We conceptualise objects, but they impinge on us [Wiggins]
     Full Idea: The mind conceptualises objects, yet objects impinge upon the mind.
     From: David Wiggins (Sameness and Substance [1980], 3.5)
     A reaction: A very nice statement of the relationship, and the fact that we don't just make our concepts up.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
We can use 'concept' for the reference, and 'conception' for sense [Wiggins]
     Full Idea: We can use the Fregean 'concept' on the level of reference and naming, and prefer the word 'conception' for the Kantian idea of the sense, or the information needed to understand the concept.
     From: David Wiggins (Sameness and Substance Renewed [2001], Pr.5)
     A reaction: This is a nice suggestion, and at first blush I think it should be adopted. Sometimes philosophers regret adopting a terminology several hundred years after it has been agreed.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
A 'conception' of a horse is a full theory of what it is (and not just the 'concept') [Wiggins]
     Full Idea: A 'conception' of horse is a theory of what a horse is, or what it is to be a horse. The conception is in no way the same as the concept. The conception is of the concept.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: Wiggins sounds confident about a sharp distinction here, which I doubt, but some such distinction seems to required. I quite like Williams's 'fat' and 'thin' concepts.
18. Thought / E. Abstraction / 4. Abstracta by Example
'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H]
     Full Idea: The term 'abstract entities' may not be entirely clear, but one thing that does seem clear is that such alleged entities as numbers, functions and sets are abstract.
     From: Hartry Field (Science without Numbers [1980], p.1), quoted by JP Burgess / G Rosen - A Subject with No Object I.A.1.a
     A reaction: Field firmly denies the existence of such things. Sets don't seem a great problem, if the set is a herd of elephants, but the null and singleton sets show up the difficulties.
19. Language / B. Reference / 1. Reference theories
'Partial reference' is when the subject thinks two objects are one object [Field,H, by Recanati]
     Full Idea: A subject's thought is about A, but, unbeknownst to the subject, B is substituted for A. Then there is Field's 'partial reference', because the subject's thought is still partially about A, even though they are following B.
     From: report of Hartry Field (Theory Change and the Indeterminacy of Reference [1973]) by François Recanati - Mental Files in Flux 2
     A reaction: Used to interpret a well-known case: Wally says of Udo 'he needs a haircut'; Zach looks at someone else and says 'he sure does'. Recanati explains it by mental files.
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]
     Full Idea: In Field's view reference is a 'physicalistic relation', i.e. a complex causal relation between words or mental representations and objects or sets of objects; it is up to physical science to discover what that physicalistic relation is.
     From: report of Hartry Field (Tarski's Theory of Truth [1972]) by Hilary Putnam - Reason, Truth and History Ch.2
     A reaction: I wouldn't hold your breath while the scientists do their job. If physicalism is right then Field is right, but physics seems no more appropriate for giving a theory of reference than it does for giving a theory of music.
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Lawlike propensities are enough to individuate natural kinds [Wiggins]
     Full Idea: For all the purposes of identity and individuation of things that belong to natural kinds..., it is enough to have regard for the lawlike propensities of members of the kind.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.1)
     A reaction: This may have got things in reverse, since it is hard to see how you could pick out any laws if you didn't assume the existence of natural kinds which were causing the regularities in the behaviour.
26. Natural Theory / C. Causation / 1. Causation
Explain single events by general rules, or vice versa, or probability explains both, or they are unconnected [Field,H]
     Full Idea: Some think singular causal claims should be explained in terms of general causal claims; some think the order should be reversed; some think a third thing (e.g. objective probability) will explain both; and some think they are only loosely connected.
     From: Hartry Field (Causation in a Physical World [2003], 2)
     A reaction: I think Ducasse gives the best account, which is the second option, of giving singular causal claims priority. Probability (Mellor) strikes me as a non-starter, and the idea that they are fairly independent seems rather implausible.
26. Natural Theory / C. Causation / 5. Direction of causation
Physical laws are largely time-symmetric, so they make a poor basis for directional causation [Field,H]
     Full Idea: It is sometimes pointed out that (perhaps with a few minor exceptions) the fundamental physical laws are completely time-symmetric. If so, then if one is inclined to found causation on fundamental physical law, it isn't evident how directionality gets in.
     From: Hartry Field (Causation in a Physical World [2003], 1)
     A reaction: All my instincts tell me that causation is more fundamental than laws, and that directionality is there at the start. That, though, raises the nice question of how, if causation explains laws, the direction eventually gets left OUT!
Identifying cause and effect is not just conventional; we explain later events by earlier ones [Field,H]
     Full Idea: It is not just that the earlier member of a cause-effect pair is conventionally called the cause; it is also connected with other temporal asymmetries that play an important role in our practices. We tend to explain later events in terms of earlier ones.
     From: Hartry Field (Causation in a Physical World [2003], 1)
     A reaction: We also interfere with the earlier one to affect the later one, and not vice versa (Idea 8363). I am inclined to think that attempting to explain the direction of causation is either pointless or hopeless.
The only reason for adding the notion of 'cause' to fundamental physics is directionality [Field,H]
     Full Idea: Although it is true that the notion of 'cause' is not needed in fundamental physics, even statistical physics, still directionality considerations don't preclude this notion from being consistently added to fundamental physics.
     From: Hartry Field (Causation in a Physical World [2003], 1)
     A reaction: This only makes sense if the notion of cause already has directionality built into it, which I think is correct. The physicist might reply that they don't care about directionality, but the whole idea of an experiment seems to depend on it (Idea 8363).
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
In theories of fields, space-time points or regions are causal agents [Field,H]
     Full Idea: According to theories that take the notion of a field seriously, space-time points or regions are fully-fledge causal agents.
     From: Hartry Field (Science without Numbers [1980], n 23)
27. Natural Reality / C. Space / 4. Substantival Space
Both philosophy and physics now make substantivalism more attractive [Field,H]
     Full Idea: In general, it seems to me that recent developments in both philosophy and physics have made substantivalism a much more attractive position than it once was.
     From: Hartry Field (Science without Numbers [1980], 4)
     A reaction: I'm intrigued as to what philosophical developments are involved in this. The arrival of fields is the development in physics.
27. Natural Reality / C. Space / 5. Relational Space
Relational space is problematic if you take the idea of a field seriously [Field,H]
     Full Idea: The problem of the relational view of space is especially acute in the context of physical theories that take the notion of a field seriously, e.g. classical electromagnetic theory.
     From: Hartry Field (Science without Numbers [1980], 4)
     A reaction: In the Leibniz-Clarke debate I sided with the Newtonian Clarke (defending absolute space), and it looks like modern science agrees with me. Nothing exists purely as relations.