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All the ideas for 'From an Ontological Point of View', 'Letters to Foucher' and 'What Numbers Could Not Be'

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80 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If you begin philosophy with language, you find yourself trapped in it [Heil]
     Full Idea: If you start with language and try to work your way outwards, you will never get outside language.
     From: John Heil (From an Ontological Point of View [2003], Pref)
     A reaction: This voices my pessimism about the linguistic approach to philosophy (and I don't just mean analysis of ordinary language), though I wonder if the career of (say) John Searle is a counterexample.
2. Reason / B. Laws of Thought / 6. Ockham's Razor
A theory with few fundamental principles might still posit a lot of entities [Heil]
     Full Idea: It could well turn out that a simpler theory - a theory with fewer fundamental principles - posits more entities than a more complex competitor.
     From: John Heil (From an Ontological Point of View [2003], 13.6)
     A reaction: See also Idea 4036. The point here is that you can't simply translate Ockham as 'keep it simple', as there are different types of simplicity. The best theory will negotiate a balance between entities and principles.
Parsimony does not imply the world is simple, but that our theories should try to be [Heil]
     Full Idea: A commitment to parsimony is not a commitment to a conception of the world as simple. The idea, rather, is that we should not complicate our theories about the world unnecessarily.
     From: John Heil (From an Ontological Point of View [2003], 13.6)
     A reaction: In other words, Ockham's Razor is about us, not about the world. It would be absurd to make the a priori assumption that the world has to be simple. Are we, though, creating bad theories by insisting that they should be simple?
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
The view that truth making is entailment is misguided and misleading [Heil]
     Full Idea: I argue that the widely held view that truth making is to be understood as entailment is misguided in principle and potentially misleading.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: If reality was just one particle, what would entail the truths about it? Suppose something appears to be self-evident true about reality, but no one can think of any entailments to derive it? Do we assume a priori that they are possible?
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
God does not create the world, and then add the classes [Heil]
     Full Idea: It is hard to see classes as an 'addition of being'; God does not create the world, and then add the classes.
     From: John Heil (From an Ontological Point of View [2003], 13.4 n6)
     A reaction: This seems right. We may be tempted into believing in the reality of classes when considering maths, but it seems utterly implausible when considering trees or cows.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
There are no such things as numbers [Benacerraf]
     Full Idea: There are no such things as numbers.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: Mill said precisely the same (Idea 9794). I think I agree. There has been a classic error of reification. An abstract pattern is not an object. If I coin a word for all the three-digit numbers in our system, I haven't created a new 'object'.
Numbers can't be sets if there is no agreement on which sets they are [Benacerraf]
     Full Idea: The fact that Zermelo and Von Neumann disagree on which particular sets the numbers are is fatal to the view that each number is some particular set.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], II)
     A reaction: I agree. A brilliantly simple argument. There is the possibility that one of the two accounts is correct (I would vote for Zermelo), but it is not actually possible to prove it.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Benacerraf says numbers are defined by their natural ordering [Benacerraf, by Fine,K]
     Full Idea: Benacerraf thinks of numbers as being defined by their natural ordering.
     From: report of Paul Benacerraf (What Numbers Could Not Be [1965]) by Kit Fine - Cantorian Abstraction: Recon. and Defence §5
     A reaction: My intuition is that cardinality is logically prior to ordinality, since that connects better with the experienced physical world of objects. Just as the fact that people have different heights must precede them being arranged in height order.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
To understand finite cardinals, it is necessary and sufficient to understand progressions [Benacerraf, by Wright,C]
     Full Idea: Benacerraf claims that the concept of a progression is in some way the fundamental arithmetical notion, essential to understanding the idea of a finite cardinal, with a grasp of progressions sufficing for grasping finite cardinals.
     From: report of Paul Benacerraf (What Numbers Could Not Be [1965]) by Crispin Wright - Frege's Concept of Numbers as Objects 3.xv
     A reaction: He cites Dedekind (and hence the Peano Axioms) as the source of this. The interest is that progression seems to be fundamental to ordianls, but this claims it is also fundamental to cardinals. Note that in the first instance they are finite.
A set has k members if it one-one corresponds with the numbers less than or equal to k [Benacerraf]
     Full Idea: Any set has k members if and only if it can be put into one-to-one correspondence with the set of numbers less than or equal to k.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], I)
     A reaction: This is 'Ernie's' view of things in the paper. This defines the finite cardinal numbers in terms of the finite ordinal numbers. He has already said that the set of numbers is well-ordered.
To explain numbers you must also explain cardinality, the counting of things [Benacerraf]
     Full Idea: I would disagree with Quine. The explanation of cardinality - i.e. of the use of numbers for 'transitive counting', as I have called it - is part and parcel of the explication of number.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], I n2)
     A reaction: Quine says numbers are just a progression, with transitive counting as a bonus. Interesting that Benacerraf identifies cardinality with transitive counting. I would have thought it was the possession of numerical quantity, not ascertaining it.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
We can count intransitively (reciting numbers) without understanding transitive counting of items [Benacerraf]
     Full Idea: Learning number words in the right order is counting 'intransitively'; using them as measures of sets is counting 'transitively'. ..It seems possible for someone to learn the former without learning the latter.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], I)
     A reaction: Scruton's nice question (Idea 3907) is whether you could be said to understand numbers if you could only count intransitively. I would have thought such a state contained no understanding at all of numbers. Benacerraf agrees.
Someone can recite numbers but not know how to count things; but not vice versa [Benacerraf]
     Full Idea: It seems that it is possible for someone to learn to count intransitively without learning to count transitively. But not vice versa.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], I)
     A reaction: Benacerraf favours the priority of the ordinals. It is doubtful whether you have grasped cardinality properly if you don't know how to count things. Could I understand 'he has 27 sheep', without understanding the system of natural numbers?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The application of a system of numbers is counting and measurement [Benacerraf]
     Full Idea: The application of a system of numbers is counting and measurement.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], I)
     A reaction: A simple point, but it needs spelling out. Counting seems prior, in experience if not in logic. Measuring is a luxury you find you can indulge in (by imagining your quantity) split into parts, once you have mastered counting.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
For Zermelo 3 belongs to 17, but for Von Neumann it does not [Benacerraf]
     Full Idea: Ernie's number progression is [φ],[φ,[φ]],[φ,[φ],[φ,[φ,[φ]]],..., whereas Johnny's is [φ],[[φ]],[[[φ]]],... For Ernie 3 belongs to 17, not for Johnny. For Ernie 17 has 17 members; for Johnny it has one.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], II)
     A reaction: Benacerraf's point is that there is no proof-theoretic way to choose between them, though I am willing to offer my intuition that Ernie (Zermelo) gives the right account. Seventeen pebbles 'contains' three pebbles; you must pass 3 to count to 17.
The successor of x is either x and all its members, or just the unit set of x [Benacerraf]
     Full Idea: For Ernie, the successor of a number x was the set consisting of x and all the members of x, while for Johnny the successor of x was simply [x], the unit set of x - the set whose only member is x.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], II)
     A reaction: See also Idea 9900. Benacerraf's famous point is that it doesn't seem to make any difference to arithmetic which version of set theory you choose as its basis. I take this to conclusively refute the idea that numbers ARE sets.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Disputes about mathematical objects seem irrelevant, and mathematicians cannot resolve them [Benacerraf, by Friend]
     Full Idea: If two children were brought up knowing two different set theories, they could entirely agree on how to do arithmetic, up to the point where they discuss ontology. There is no mathematical way to tell which is the true representation of numbers.
     From: report of Paul Benacerraf (What Numbers Could Not Be [1965]) by Michèle Friend - Introducing the Philosophy of Mathematics
     A reaction: Benacerraf ends by proposing a structuralist approach. If mathematics is consistent with conflicting set theories, then those theories are not shedding light on mathematics.
No particular pair of sets can tell us what 'two' is, just by one-to-one correlation [Benacerraf, by Lowe]
     Full Idea: Hume's Principle can't tell us what a cardinal number is (this is one lesson of Benacerraf's well-known problem). An infinity of pairs of sets could actually be the number two (not just the simplest sets).
     From: report of Paul Benacerraf (What Numbers Could Not Be [1965]) by E.J. Lowe - The Possibility of Metaphysics 10.3
     A reaction: The drift here is for numbers to end up as being basic, axiomatic, indefinable, universal entities. Since I favour patterns as the basis of numbers, I think the basis might be in a pre-verbal experience, which even a bird might have, viewing its eggs.
If ordinal numbers are 'reducible to' some set-theory, then which is which? [Benacerraf]
     Full Idea: If a particular set-theory is in a strong sense 'reducible to' the theory of ordinal numbers... then we can still ask, but which is really which?
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIB)
     A reaction: A nice question about all reductions. If we reduce mind to brain, does that mean that brain is really just mind. To have a direction (up/down?), reduction must lead to explanation in a single direction only. Do numbers explain sets?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
If any recursive sequence will explain ordinals, then it seems to be the structure which matters [Benacerraf]
     Full Idea: If any recursive sequence whatever would do to explain ordinal numbers suggests that what is important is not the individuality of each element, but the structure which they jointly exhibit.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: This sentence launched the whole modern theory of Structuralism in mathematics. It is hard to see what properties a number-as-object could have which would entail its place in an ordinal sequence.
The job is done by the whole system of numbers, so numbers are not objects [Benacerraf]
     Full Idea: 'Objects' do not do the job of numbers singly; the whole system performs the job or nothing does. I therefore argue that numbers could not be objects at all.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: This thought is explored by structuralism - though it is a moot point where mere 'nodes' in a system (perhaps filled with old bits of furniture) will do the job either. No one ever explains the 'power' of numbers (felt when you do a sudoku). Causal?
The number 3 defines the role of being third in a progression [Benacerraf]
     Full Idea: Any object can play the role of 3; that is, any object can be the third element in some progression. What is peculiar to 3 is that it defines that role, not by being a paradigm, but by representing the relation of any third member of a progression.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: An interesting early attempt to spell out the structuralist idea. I'm thinking that the role is spelled out by the intersection of patterns which involve threes.
Number words no more have referents than do the parts of a ruler [Benacerraf]
     Full Idea: Questions of the identification of the referents of number words should be dismissed as misguided in just the way that a question about the referents of the parts of a ruler would be seen as misguided.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: What a very nice simple point. It would be very strange to insist that every single part of the continuum of a ruler should be regarded as an 'object'.
Mathematical objects only have properties relating them to other 'elements' of the same structure [Benacerraf]
     Full Idea: Mathematical objects have no properties other than those relating them to other 'elements' of the same structure.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], p.285), quoted by Fraser MacBride - Structuralism Reconsidered §3 n13
     A reaction: Suppose we only had one number - 13 - and we all cried with joy when we recognised it in a group of objects. Would that be a number, or just a pattern, or something hovering between the two?
How can numbers be objects if order is their only property? [Benacerraf, by Putnam]
     Full Idea: Benacerraf raises the question how numbers can be 'objects' if they have no properties except order in a particular ω-sequence.
     From: report of Paul Benacerraf (What Numbers Could Not Be [1965], p.301) by Hilary Putnam - Mathematics without Foundations
     A reaction: Frege certainly didn't think that order was their only property (see his 'borehole' metaphor in Grundlagen). It might be better to say that they are objects which only have relational properties.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number-as-objects works wholesale, but fails utterly object by object [Benacerraf]
     Full Idea: The identification of numbers with objects works wholesale but fails utterly object by object.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], IIIC)
     A reaction: This seems to be a glaring problem for platonists. You can stare at 1728 till you are blue in the face, but it only begins to have any properties at all once you examine its place in the system. This is unusual behaviour for an object.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are not predicates, as they function very differently from adjectives [Benacerraf]
     Full Idea: The unpredicative nature of number words can be seen by noting how different they are from, say, ordinary adjectives, which do function as predicates.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], II)
     A reaction: He points out that 'x is seventeen' is a rare construction in English, unlike 'x is happy/green/interesting', and that numbers outrank all other adjectives (having to appear first in any string of them).
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf]
     Full Idea: In no consistent theory is there a class of all classes with seventeen members. The existence of the paradoxes is a good reason to deny to 'seventeen' this univocal role of designating the class of all classes with seventeen members.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], II)
     A reaction: This was Frege's disaster, and seems to block any attempt to achieve logicism by translating numbers into sets. It now seems unclear whether set theory is logic, or mathematics, or sui generis.
7. Existence / C. Structure of Existence / 2. Reduction
The reductionist programme dispenses with levels of reality [Heil]
     Full Idea: The reductionist programme dispenses with levels of reality.
     From: John Heil (From an Ontological Point of View [2003], 04.3)
     A reaction: Fodor, for example, claims that certain causal laws only operate at high levels of reality. I agree with Heil's idea - the notion that there are different realities around here that don't connect properly to one another is philosopher's madness.
7. Existence / C. Structure of Existence / 3. Levels of Reality
There are levels of organisation, complexity, description and explanation, but not of reality [Heil]
     Full Idea: We should accept levels of organisation, levels of complexity, levels of description, and levels of explanation, but not the levels of reality favoured by many anti-reductionists. The world is then ontologically, but not analytically, reductive.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: This sounds right to me. The crunch questions seem to be whether the boundaries at higher levels of organisation exist lower down, and whether the causal laws of the higher levels can be translated without remainder into lower level laws.
7. Existence / D. Theories of Reality / 2. Realism
Realism says some of our concepts 'cut nature at the joints' [Heil]
     Full Idea: Realism is sometimes said to involve a commitment to the idea that certain of our concepts, those with respect to which we are realists, 'carve reality at the joints'.
     From: John Heil (From an Ontological Point of View [2003], 14.11)
     A reaction: Clearly not all concepts cut nature at the joints (e.g. we have concepts of things we know to be imaginary). Personally I am committed to this view of realism. I try very hard to use concepts that cut accurately; why shouldn't I sometimes succeed?
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists who reduce reality to language must explain the existence of language [Heil]
     Full Idea: Anti-realist philosophers, and those who hope to reduce metaphysics to (or replace it with) the philosophy of language, owe the rest of us an account of the ontology of language.
     From: John Heil (From an Ontological Point of View [2003], 20.6)
     A reaction: A nice turning-the-tables question. In all accounts of relativism, x is usually said to be relative to y. You haven't got proper relativism if you haven't relativised both x and y. But relativised them to what? Nietzsche's 'perspectivism' (Idea 4420)?
7. Existence / E. Categories / 5. Category Anti-Realism
Concepts don't carve up the world, which has endless overlooked or ignored divisions [Heil]
     Full Idea: Concepts do not 'carve up' the world; the world already contains endless divisions, most of which we remain oblivious to or ignore.
     From: John Heil (From an Ontological Point of View [2003], 05.3)
     A reaction: Concepts could still carve up the world, without ever aspiring to do a complete job. We carve up the aspects that interest us, but the majority of the carving is in response to natural divisions, not whimsical conventions.
8. Modes of Existence / B. Properties / 9. Qualities
I think of properties as simultaneously dispositional and qualitative [Heil]
     Full Idea: Some philosophers who accept that properties are intrinsic features of objects regard them as pure powers, pure dispositionalities; I prefer to think of properties as simultaneously dispositional and qualitative.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: I am uneasy about 'qualitative' as a category, and am inclined to reduce it to being a dispositional power to cause primary and secondary qualities in observers. Roughness is only a power, not a quality, if there are no observers.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A predicate applies truly if it picks out a real property of objects [Heil]
     Full Idea: When a predicate applies truly to an object, it does so in virtue of designating a property possessed by that object and by every object to which the predicate truly applies (or would apply).
     From: John Heil (From an Ontological Point of View [2003], 03.3)
     A reaction: I am sympathetic to Heil's aim of shifting our attention from arbitrary predicates to natural properties, but it won't avoid Fodor's problem (Idea 7014) that all kinds of whimsical predicates will apply 'truly', but fail to pick out anything significant.
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
A theory of universals says similarity is identity of parts; for modes, similarity is primitive [Heil]
     Full Idea: The friend of universals has an account of similarity relations as relations of identity and partial identity; the friend of modes must regard similarity relations as primitive and irreducible.
     From: John Heil (From an Ontological Point of View [2003], 14.5)
     A reaction: We always seem to be able to ask 'in what respect' a similarity occurs. If similarity is 'primitive and irreducible', we should not be able to analyse and explain a similarity, yet we seem able to. I conclude that Heil is wrong.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers or dispositions are usually seen as caused by lower-level qualities [Heil]
     Full Idea: The modern default position on dispositionality is that powers or dispositions are higher-level properties objects possess by virtue of those objects' possession of lower-level qualitative (categorical) properties.
     From: John Heil (From an Ontological Point of View [2003], 09.2)
     A reaction: The new idea which is being floated by Heil, and which I prefer, is that dispositions or powers are basic. A 'quality' is a much more dubious entity than a power.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Essence is primitive force, or a law of change [Leibniz]
     Full Idea: The essence of substances consists in the primitive force of action, or the law of the sequence of changes.
     From: Gottfried Leibniz (Letters to Foucher [1675], 1676)
     A reaction: [a 1676 note on Foucher's reply] It take these to be the two key distinctive Leibnizian contributions to the sort of metaphysic that is needed by modern science. Nature works with intrinsic essences, which are forces determining action.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Are a property's dispositions built in, or contingently added? [Heil]
     Full Idea: There is a dispute over whether a property's dispositionality is built into the property or whether it is a contingent add-on.
     From: John Heil (From an Ontological Point of View [2003], 09.4)
     A reaction: Put that way, the idea that it is built in seems much more plausible. If it is an add-on, an explanation of why that disposition is added to that particular property seems required. If it is built in, it seems legitimate to accept it as a brute fact.
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals explain one-over-many relations, and similar qualities, and similar behaviour [Heil]
     Full Idea: Universals can explain the one-over-many problem, and easily explain similarity relations between objects, and explain the similar behaviour of similar objects.
     From: John Heil (From an Ontological Point of View [2003], 13.1)
     A reaction: A useful summary. If you accept it, you seem to be faced with a choice between Plato (who has universals existing independently of particulars) and Armstrong (who makes them real, but existing only in particulars).
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
How could you tell if the universals were missing from a world of instances? [Heil]
     Full Idea: Imagine a pair of worlds, one in which there are the universals and their instances and one in which there are just the instances (a world of modes). How would the absence of universals make itself felt?
     From: John Heil (From an Ontological Point of View [2003], 13.7)
     A reaction: A nice question for Plato, very much in the spirit of Aristotle's string of questions. Compare 'suppose the physics remained, but someone removed the laws'. Either chaos ensues, or you realise they were redundant. Same with Forms.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Similarity among modes will explain everthing universals were for [Heil]
     Full Idea: My contention is that similarity among modes can do the job universals are conventionally postulated to do.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: See Idea 4441 for Russell's nice objection to this view. The very process by which we observes similarities (as assess their degrees) needs to be explained by any adequate theory of properties or universals.
Similar objects have similar properties; properties are directly similar [Heil]
     Full Idea: Objects are similar by virtue of possessing similar properties; properties, in contrast, are not similar in virtue of anything.
     From: John Heil (From an Ontological Point of View [2003], 14.2)
     A reaction: I am not sure if I can understand the concept of similarity if there is no answer to the question 'In what respect?' I suppose David Hume is happy to take resemblance as given and basic, but it could be defined as 'sharing identical properties'.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Objects join sets because of properties; the property is not bestowed by set membership [Heil]
     Full Idea: The set of red objects is the set of objects possessing a property: being red. Objects are members of the set in virtue of possessing this property; they do not possess the property in virtue of belonging to the set.
     From: John Heil (From an Ontological Point of View [2003], 12.2)
     A reaction: This seems to be a very effective denial of the claim that universals are sets. However, if 'being a Londoner' counts as a property, you can only have it by joining the London set. Being tall is more fundamental than being a Londoner.
9. Objects / A. Existence of Objects / 1. Physical Objects
Trope theorists usually see objects as 'bundles' of tropes [Heil]
     Full Idea: Philosophers identifying themselves as trope theorists have, by and large, accepted some form of the 'bundle theory' of objects: an object is a bundle of compresent tropes.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: This view eliminates anything called 'matter' or 'substance' or a 'bare particular'. I think I agree with Heil that this doesn't give a coherent picture, as properties seem to be 'of' something, and bundles always raise the question of what unites them.
Objects are substances, which are objects considered as the bearer of properties [Heil]
     Full Idea: I think of objects as substances, and a substance is an object considered as a bearer of properties.
     From: John Heil (From an Ontological Point of View [2003], 04.2)
     A reaction: This is an area of philosophy I always find disconcerting, where an account of how we should see objects seems to have no connection at all to what physicists report about objects. 'Considered as' seems to make substances entirely conventional.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Maybe there is only one substance, space-time or a quantum field [Heil]
     Full Idea: It would seem distinctly possible that there is but a single substance: space-time or some all-encompassing quantum field.
     From: John Heil (From an Ontological Point of View [2003], 05.2)
     A reaction: This would at least meet my concern that philosophers' 'substances' don't seem to connect to what physicists talk about. I wonder if anyone knows what a 'quantum field' is? The clash between relativity and quantum theory is being alluded to.
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
Rather than 'substance' I use 'objects', which have properties [Heil]
     Full Idea: I prefer the more colloquial 'object' to the traditional term 'substance'. An object can be regarded as a possessor of properties: as something that is red, spherical and pungent, for instance.
     From: John Heil (From an Ontological Point of View [2003], 15.3)
     A reaction: A nice move, but it seems to beg the question of 'what is it that has the properties?' Objects and substances do two different jobs in our ontology. Heil is just refusing to discuss what it is that has properties.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Statues and bronze lumps have discernible differences, so can't be identical [Heil]
     Full Idea: Applications of the principle of the indiscernibility of identicals apparently obliges us to distinguish the statue and the lump of bronze making it up.
     From: John Heil (From an Ontological Point of View [2003], 16.3)
     A reaction: In other words, statues and lumps of bronze have different properties. It is a moot point, though, whether there are any discernible differences between that statue at time t and its constituting lump of bronze at time t.
Do we reduce statues to bronze, or eliminate statues, or allow statues and bronze? [Heil]
     Full Idea: Must we choose between reductionism (the statue is the lump of bronze), eliminativism (there are no statues, only statue-shaped lumps of bronze), and a commitment to coincident objects?
     From: John Heil (From an Ontological Point of View [2003], 16.5)
     A reaction: (Heil goes on to offer his own view). Coincident objects sounds the least plausible view. Modern statues are only statues if we see them that way, but a tree is definitely a tree. Trenton Merricks is good on eliminativism.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements make sense only if there are possible individuating conditions [Benacerraf]
     Full Idea: Identity statements make sense only in contexts where there exist possible individuating conditions.
     From: Paul Benacerraf (What Numbers Could Not Be [1965], III)
     A reaction: He is objecting to bizarre identifications involving numbers. An identity statement may be bizarre even if we can clearly individuate the two candidates. Winston Churchill is a Mars Bar. Identifying George Orwell with Eric Blair doesn't need a 'respect'.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Properties don't possess ways they are, because that just is the property [Heil]
     Full Idea: Objects possess properties, but I am sceptical of the idea that properties possess properties; just as a property is a way some object is, a property of a property would be a way a property is, but that is just the property itself.
     From: John Heil (From an Ontological Point of View [2003], 12.1)
     A reaction: This is quite a good defence of the idea that properties are qualities as well as dispositions. However, if we make the qualities of properties into secondary qualities, and the dispositions into primary qualities, the absurdity melts away.
If properties were qualities without dispositions, they would be undetectable [Heil]
     Full Idea: A pure quality, a property altogether lacking in dispositionality, would be undetectable and would, in one obvious sense, make no difference to its possessor.
     From: John Heil (From an Ontological Point of View [2003], 11.4)
     A reaction: This seems to be a very forceful and simple reason why we cannot view properties simply as qualities of things. Heil wants properties to be dispositions and qualities; personally I would vote for them just being dispositions or powers.
Can we distinguish the way a property is from the property? [Heil]
     Full Idea: It is not clear to me that we easily distinguish ways a property is from the property itself.
     From: John Heil (From an Ontological Point of View [2003], 11.6)
     A reaction: To defend properties as qualities, he is confusing ontology and epistemology. Presumably he means by 'ways a property is' what I would prefer to call 'ways a property seems to be'. I don't believe a smell is simply what it seems to be.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Objects only have secondary qualities because they have primary qualities [Heil]
     Full Idea: Secondary qualities are not distinct from primary qualities: an object's possession of a given secondary quality is a matter of its possession of certain complex primary qualities.
     From: John Heil (From an Ontological Point of View [2003], 17.3)
     A reaction: The bottom line here is that, if essentialism is right, colours are not properties at all (see Idea 5456). Heil wants to subsume secondary properties within primary properties. I think we should sharply distinguish them.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Secondary qualities are just primary qualities considered in the light of their effect on us [Heil]
     Full Idea: Secondary qualities are just ordinary properties - roughly, Locke's primary qualities - considered in the light of their effects on us.
     From: John Heil (From an Ontological Point of View [2003], 14.10)
     A reaction: Unconvincing. If they only acquire their ontological status as primary qualities if they have to be considered in relation to something (us), then that is not a primary quality.
Colours aren't surface properties, because of radiant sources and the colour of the sky [Heil]
     Full Idea: Theories that take colours to be properties of the surfaces of objects have difficulty accounting for a host of phenomena including coloured light emitted by radiant sources and so-called film colours (the colour of the sky, for instance).
     From: John Heil (From an Ontological Point of View [2003], 17.4)
     A reaction: Personally I never thought that colours might be actual properties of surfaces, but it is nice to have spelled out a couple of instances that make it very implausible. Neon and sodium lights I take to be examples of the first case.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
Treating colour as light radiation has the implausible result that tomatoes are not red [Heil]
     Full Idea: Theories that tie colours to features of light radiation deal with radiant and diffused colours, but yield implausible results for objects; tomatoes are not red, on such a view, but merely reflect red light.
     From: John Heil (From an Ontological Point of View [2003], 17.4)
     A reaction: I see absolutely no problem with the philosophical denial that tomatoes are actually red, while continuing to use 'red' of tomatoes in the normal way. When we analyse our processes of knowledge acquisition, we must give up 'common sense'.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
If the world is just texts or social constructs, what are texts and social constructs? [Heil]
     Full Idea: For those who regard the world as text or a social construct, are texts and social constructs real entities? If they are, what are they?
     From: John Heil (From an Ontological Point of View [2003], 20.6)
     A reaction: A nice turn-the-tables question. The oldest attacks of all on scepticism and relativism consist of showing that the positions themselves rest on knowledge or truth. Nietzsche may be the best model for relativists. E.g. Idea 4420.
14. Science / B. Scientific Theories / 1. Scientific Theory
If the world is theory-dependent, the theories themselves can't be theory-dependent [Heil]
     Full Idea: If the world is somehow theory-dependent, this implies, on pain of a regress, that theories are not theory-dependent.
     From: John Heil (From an Ontological Point of View [2003], 06.4)
     A reaction: I am not sure where this puts the ontology of theories, but this is a nice question, of a type which never seems to occur to your more simple-minded relativist.
14. Science / B. Scientific Theories / 2. Aim of Science
Science is sometimes said to classify powers, neglecting qualities [Heil]
     Full Idea: The sciences are sometimes said to be in the business of identifying and classifying powers; the mass of an electron, its spin and charge, could be regarded as powers possessed by the electron; science is silent on an electron's qualities.
     From: John Heil (From an Ontological Point of View [2003], 11.2)
     A reaction: Heil raises the possibility that qualities are real, despite the silence of science; he wants colour to be a real quality. I like the simpler version of science. Qualities are the mental effects of powers; there exist substances, powers and effects.
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
One form of explanation is by decomposition [Heil]
     Full Idea: One form of explanation is by decomposition.
     From: John Heil (From an Ontological Point of View [2003], 19.8)
     A reaction: This is a fancy word for taking it apart, presumably to see how it works, which implies a functional explanation, rather than to see what it is made of, which seeks an ontological explanation. Simply 'decomposing' something wouldn't in itself explain.
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Dispositionality provides the grounding for intentionality [Heil]
     Full Idea: Dispositionality provides the grounding for intentionality.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: This is a view with which I am sympathetic, though I am not sure if it explains anything. It would be necessary to identify a disposition of basic matter that could be built up into the disposition of a brain to think about things.
Intentionality now has internalist (intrinsic to thinkers) and externalist (environment or community) views [Heil]
     Full Idea: Nowadays philosophers concerned with intentionality divide into two camps. Internalists epitomise a traditional approach to thought, as intrinsic features of thinkers; externalists say it depends on contextual factors (environment or community).
     From: John Heil (From an Ontological Point of View [2003], 18.2)
     A reaction: This is basic to understanding modern debates (those that grow out of Putnam's Twin Earth). Externalism is fashionable, but I am reluctant to shake off my quaint internalism. Start by separating strict and literal meaning from speaker's meaning.
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
Qualia are not extra appendages, but intrinsic ingredients of material states and processes [Heil]
     Full Idea: Properties of conscious experience, the so-called qualia, are not dangling appendages to material states and processes but intrinsic ingredients of those states and processes.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: Personally I am inclined to the view that qualia are intrinsic to the processes and NOT to the 'states'. Heil must be right, though. I am sure qualia are not just epiphenomena - they are too useful.
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Philosophers' zombies aim to show consciousness is over and above the physical world [Heil]
     Full Idea: Philosophers' zombies (invented by Robert Kirk) differ from the zombies of folklore; they are intended to make clear the idea that consciousness is an addition of being, something 'over and above' the physical world.
     From: John Heil (From an Ontological Point of View [2003], 20.1 n1)
     A reaction: The famous defender of zombies is David Chalmers. You can't believe in zombies if you believe (as I do) that 'the physical entails the mental'. Could there be redness without something that is red? If consciousness is extra, what is conscious?
Zombies are based on the idea that consciousness relates contingently to the physical [Heil]
     Full Idea: The possibility of zombies is founded on the idea that consciousness is related contingently to physical states and processes.
     From: John Heil (From an Ontological Point of View [2003], 20.3)
     A reaction: The question is, how do you decide whether the relationship is contingent or necessary? Hence the interest in whether conceivability entails possibility. Kripke attacks the idea of contingent identity, pointing towards necessity, and away from zombies.
Functionalists deny zombies, since identity of functional state means identity of mental state [Heil]
     Full Idea: Functionalists deny that zombies are possible since states of mind (including conscious states) are purely functional states. If two agents are in the same functional state, regardless of qualitative difference, they are in the same mental state.
     From: John Heil (From an Ontological Point of View [2003], 20.5)
     A reaction: In its 'brief' form this idea begins to smell of tautology. Only the right sort of functional state would entail a mental state, and how else can that functional state be defined, apart from its leading to a mental state?
17. Mind and Body / C. Functionalism / 1. Functionalism
Functionalists say objects can be the same in disposition but differ in quality [Heil]
     Full Idea: A central tenet of functionalism is that objects can be dispositionally indiscernible but differ qualitatively as much as you please.
     From: John Heil (From an Ontological Point of View [2003], 11.3)
     A reaction: This refers to the multiple realisability of functions. Presumably we reconcile essentialism with the functionalist view by saying that dispositions result from combinations of qualities. A unique combination of qualities will necessitate a disposition.
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Functionalism cannot explain consciousness just by functional organisation [Heil]
     Full Idea: Functionalism has been widely criticized on the grounds that it is implausible to think that functional organization alone could suffice for conscious experience.
     From: John Heil (From an Ontological Point of View [2003], 20.2)
     A reaction: He cites Block's 'Chinese Mind' as an example. The obvious reply is that you can't explain consciousness with a lump of meat, or with behaviour, or with an anomalous property, or even with a non-physical substance.
17. Mind and Body / D. Property Dualism / 6. Mysterianism
The 'explanatory gap' is used to say consciousness is inexplicable, at least with current concepts [Heil]
     Full Idea: The expression 'explanatory gap' was coined by Joseph Levine in 1983. McGinn and Chalmers have invoked it in defence of the view that consciousness is physically inexplicable, and Nagel that it is inexplicable given existing conceptual resources.
     From: John Heil (From an Ontological Point of View [2003], 19.8 n14)
     A reaction: Coining a few concepts isn't going to help, but discovering more about the brain might. With computer simulations we will 'see' more of the physical end of thought. Psychologists may break thought down into physically more manageable components.
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
If a car is a higher-level entity, distinct from its parts, how could it ever do anything? [Heil]
     Full Idea: If we regard a Volvo car as a higher-level entity with its own independent reality, something distinct from its constituents (arranged in particular ways and variously connected to other things), we render mysterious how Volvos could do anything at all.
     From: John Heil (From an Ontological Point of View [2003], 02.3)
     A reaction: This seems to me perhaps the key reason why we have to be reductionists. The so-called 'bridge laws' from mind to brain are not just needed to explain the mind, they are also essential to show how a mind would cause behaviour.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisability is actually one predicate applying to a diverse range of properties [Heil]
     Full Idea: Cases of multiple realisability are typically cases in which some predicate ('is red', 'is in pain') applies to an object in virtue of that object's possession of any of a diverse range of properties.
     From: John Heil (From an Ontological Point of View [2003], 14.8)
     A reaction: If the properties are diverse, why does one predicate apply to them? I take it that in the case of the pain, the predicate is ambiguous in applying to the behaviour or the phenomenal property. Same behaviour is possible with many qualia.
18. Thought / C. Content / 6. Broad Content
Externalism is causal-historical, or social, or biological [Heil]
     Full Idea: Some externalists focus on causal-historical connections, others emphasise social matters (especially thinkers' linguistic communities), still others focus on biological function.
     From: John Heil (From an Ontological Point of View [2003], 18.5 n6)
     A reaction: Helpful. The social view strikes me as the one to take most seriously (allowing for contextual views of justification, and for the social role of experts). The problem is to combine the social view with realism and a robust view of truth.
18. Thought / C. Content / 7. Narrow Content
Intentionality is based in dispositions, which are intrinsic to agents, suggesting internalism [Heil]
     Full Idea: I suggest that intentionality is grounded in the dispositionalities of agents. Dispositions are intrinsic to agents, so this places me on the side of the internalists and against the externalists.
     From: John Heil (From an Ontological Point of View [2003], 18.4)
     A reaction: I think this is a key idea, and the right view. The key question is whether we see intentionality as active or passive. The externalist view seems to see the brain as a passive organ which the world manipulates. If the brain is active, what is it doing?
19. Language / A. Nature of Meaning / 2. Meaning as Mental
The Picture Theory claims we can read reality from our ways of speaking about it [Heil]
     Full Idea: The theory of language which I designate the 'Picture Theory' says that language pictures reality in roughly the sense that we can 'read off' features of reality from our ways of speaking about it.
     From: John Heil (From an Ontological Point of View [2003], 03.2)
     A reaction: Heil, quite rightly, attacks this view very strongly. I think of it as the great twentieth century philosophical heresy, that leads to shocking views like relativism and anti-realism.
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
If propositions are states of affairs or sets of possible worlds, these lack truth values [Heil]
     Full Idea: When pressed, philosophers will describe propositions as states of affairs or sets of possible worlds. But wait! Neither sets of possible worlds nor states of affairs - electrons being negatively charged, for instance - have truth values.
     From: John Heil (From an Ontological Point of View [2003], Intro)
     A reaction: I'm not sure that I see a problem. A pure proposition, expressed as, say "there is a giraffe on the roof" only acquires a truth value at the point where you assert it or believe it. There IS a possible world where there is a giraffe on the roof.
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
The standard view is that causal sequences are backed by laws, and between particular events [Heil]
     Full Idea: The notion that every causal sequence if backed by a law, like the idea that causation is a relation among particular events, forms a part of philosophy's Humean heritage.
     From: John Heil (From an Ontological Point of View [2003], 04.3)
     A reaction: This nicely pinpoints a view that needs to come under attack. I take the view that there are no 'laws' - other than the regularities in behaviour that result from the interaction of essential dispositional properties. Essences don't need laws.
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz]
     Full Idea: There is a connection among our appearances that provides us the means to predict future appearances with success, and this connection must have a constant cause.
     From: Gottfried Leibniz (Letters to Foucher [1675])
27. Natural Reality / F. Chemistry / 2. Modern Elements
The real natural properties are sparse, but there are many complex properties [Heil]
     Full Idea: I am sympathetic to the idea that the real properties are 'sparse'; ...but if, in counting kinds of property, we include complex properties as well as simple properties, the image of sparseness evaporates.
     From: John Heil (From an Ontological Point of View [2003], 13.4)
     A reaction: This seems right to me, and invites the obvious question of which are the sparse real properties. Presumably we let the physicists tell us that, though Heil wants to include qualities like phenomenal colour, which physicists ignore.