‘Something is Self-Identical’ Cannot Translate ‘There are Objects’: Another Argument Against the Thin Theory

At Tractatus Logico-Philosophicus 4.1271 we read: "So one cannot say, for example, 'There are objects', as one might say, 'There are books'."

In endnote 9, p. 194,  of "The Number of Things," Peter van Inwagen (Phil. Issues 12, 2002) writes:

Wittgenstein says that one cannot say " 'There are objects', as one might say, 'There are books'."  I have no idea what the words 'as one might say' ['wie man etwa sagt'] could mean so I will ignore them.

Is van Inwagen simply feigning incomprehension here?  How could he fail to understand what those words mean?  Wittgenstein's point is that object is a formal concept, unlike book.  One can say, meaningfully, that there are books.  One cannot say, meaningfully, that there are objects.  Whether Wittgenstein is right is a further question.  But what he is saying strikes me as clear enough, clear enough so that one ought to  have some idea of what he is saying rather than no idea.  By the way, van Inwagen is here engaging in a ploy of too many analytic philosophers.  In a situation in which it is tolerably, but not totally, clear what is being said, they say, 'I have no idea what you mean' when, to avoid churlishness, they ought to say, 'Would you please clarify exactly what you mean?'

Be this as it may.  Philosophers are a strange, in-bred breed of cat, and they acquire some strange tics.  My present topic is not the tics of philosophers, nor formal concepts either.

According to Wittgenstein, one cannot say (meaningfully) that there are objects.  Van Inwagen responds:

Why can one not say that there are objects?  Why not say it this way: '(Ex)(x = x)'? (p. 180)

Without endorsing Wittgenstein's claim, or trying to determine what exactly it means, my thesis is that van Inwagen's translation of 'There are objects' as 'Something is self-identical' is hopeless.

I do not deny the logical equivalence of the two sentences.   I do not claim that there are self-identical items that do not exist.  Everything exists.  My claim is that to exist is not to be self-identical.  They are not the very same 'property.'    If they were, then van Inwagen's translation would be unexceptionable.  But they are not.  Here is a reductio ad absurdum argument to show that existence and self-identity are distinct, that existence cannot be reduced to self-identity.

0. Existence and self-identity are the very same property. (Assumption for reductio)

1. If existence and self-identity are the very same property, then nonexistence and self-diversity are the very same property, and conversely. (Self-evident logical equivalence.)

2. Possibly, I do not exist.  (Self-evident premise: I am a contingent being.)

3. Possibly, I am not self-identical. (From 1, 2)

4. What is not self-identical is self-diverse.  (True by definition)

5. Possibly, I am self-diverse. (From 3, 4)

6. (5) is necessarily false.

7. (0) is false. Q.E.D.

The thin theory of existence is the theory that existence is exhaustively explicable in terms of the purely logical concepts of standard first-order predicate logic with identity.  Identity and quantification are such concepts.  Now the only way within this logic to translate 'There are objects' or 'Something exists' is the way van Inwagen suggests.  But what I have just shown is that 'Something is self-identical' does not say what 'Something exists' says.

If things exist, then of course they are self-identical.  What else would they be? Self-diverse?  But their existence is not their self-identity.  Their existence is their being there, their not being nothing, their  reality — however you want to put it.  If something is self-identical, it cannot be such unless it first exists.  It astonishes me that there are people, very intelligent people, who cannot see that.  What should we call this fallacy?  The essentialist fallacy?  The fallacy of thinking that being = what-being?  Or maybe it is not a fallacy of thinking, but a kind of blindness.  Some people are color-blind, some morally blind, some modally blind.  And others existence-blind. 

A Quick Proof that ‘Exist(s)’ is not Univocal

Suppose we acquiesce for the space of this post in QuineSpeak. 

Then 'Horses exist' says no more and no less than that 'Something is a horse.'  And 'Harry exists' says no more and no less than that 'Something is Harry.'  But the 'is' does not have the same sense in both translations.  The first is the 'is' of predication while the second is the 'is' of identity.  The difference  is reflected in the standard notation.  The propositional function in the first case is Hx.  The propositional function in the second case is x = h.  Immediate juxtaposition of predicate constant and free variable is the sign for predication.  '=' is the sign for identity.  Different signs for different concepts.  Identity is irreducible to predication which is presumably why first-order predicate logic with identity is so-called.

Those heir to the Fressellian position, such as Quine and his epigoni, dare not fudge the distinction between the two senses of 'is' lately noted. That, surely, is a cardinal tenet of their brand of analysis.

So even along Quinean lines, the strict univocity of 'exist(s)' across all its uses cannot be upheld.  It cannot be upheld across the divide that separates general from singular existentials.

Or have I gone wrong somewhere?

Existence and Plural Predication: Could ‘Exist(s)’ be a First-Level Non-Distributive Predicate?

'Horses exist' is an example of an affirmative general existential sentence. What is the status of the predicate '___ exist' in such a sentence? One might maintain that 'exist(s)' is a second-level predicate; one might maintain that it is a first-level distributive predicate; one might maintain that it is a first-level non-distributive (collective) predicate. 

1. Frege famously maintained that 'exist(s)' is a second-level predicate, a predicate of concepts only, and never a first-level predicate, a predicate of objects.  Russell followed him in this.  A consequence of this view is that 'Horses exist' is not about what it seems to be about, and does not say what it seems to say.  It seems to be about horses, and seems to say of them that they exist.  But on Frege's analysis the sentence is about the concept horse and says of it, not that it exists, but that it has one or more instances.

Paradoxically, the sentence ''Horses exist'  on  Frege's  analysis says about a non-horse something that cannot be true of a horse or of any concrete thing!

For an interesting comparison, consider 'Horses surround my house.'  Since no horse could surround my house, it is clear that the sentence is not about each of the horses that surround my house.  What then is it about?  One will be tempted to reach for some such singularist analysis as: 'A set of horses surrounds my house.'  But this won't do since no such abstract object as a set could surround anything.  So if the sentence is really about a set of horses then it cannot say what it appears to say.  It must be taken to say something different from what it appears to say.  So what does 'Horses surround my house' say about a set if it is about a set? 

One might be tempted to offer this translation: 'A set of horses is such that its members are surrounding my house.' But this moves us in a circle, presupposing as it does that we already understand the irreducibly plural predication 'Horses surround my house.'  After all, if the members of a set of horses surround my house that is no different from horses surrounding my house.

The circularity here is structurally similar to that of the Fregean analysis.  If 'Horses exist' is about a concept, and says of that concept that it has instances, then of course those instances are horses that exist.  So the attempt to remove existence from individuals and make of it a property of concepts ends up reinstating  existence as a 'property' of individuals.

Pursuing the analogy a bit further, the refusal to grant that there are irreducibly plural predications such as 'Horses surround my house' is like the refusal to grant that there are irreducibly first-level existence sentences.

2.  Pursuing the analogy still further, is it possible to construe the predicate in 'Horses exist' as a non-distributive first-level predicate like the predicate in 'Horses surround my house'?  First some definitions.

A predicate F is distributive just in case it is analytic that whenever some things are F, then each is F.  Thus a distributive predicate is one the very meaning of which dictates that if it applies to some things, then it applies to each of them.  'Blue' is an example.  If some things are blue, then each of them is blue.

If a predicate is not distributive, then it is non-distributive (collective).  If some Occupy-X nimrods have the building surrounded, it does not follow that each such nimrod has the building surrounded.  If some students moved a grand piano into my living room, it does not follow that each student did.  If bald eagles are becoming extinct, it does not follow that each bald eagle is becoming extinct.  Individual animals die, but no individual animal ever becomes extinct. If the students come from many different countries, it does not follow that each comes from many different countries.  If horses have an interesting evolutionary history, it does not follow that each horse has an interesting evolutionary history.

I will assume for the purposes of this post that 'Horses surround my house' and 'Horses have an interesting evolutionary history' are irreducibly plural predications.  (That they are plural is obvious; that they are irreducibly plural is not.  For arguments see Thomas McKay, Plural Predication.)   And of course they are first-level as well: they are about horses, not about concepts or properties or propositional functions.  Now is 'Horses exist' assimilable to 'Horses surround my house' or is it assimilable to 'Horses are four-legged'? The predicate in the later is a distributive first-level predicate, whereas the predicate in 'Horses surround my house' is a non-distributive first-level predicate.

I am assuming that the 'Fressellian' second-level analysis is out, but I won't repeat the arguments I have given ad nauseam elsewhere.

I do not understand how 'exist(s)' could be construed as a non-distributive  predicate.  For if it is non-distributive, then it is possible that some things exist without it being the case that each of them exists.  And that I do not understand.  If horses exist, then each horse exsts.

Peter van Inwagen seems (though it not clear to me) to be saying that 'exists(s)' is a non-distributive first-level predicate. He compares 'Horses exist' to 'Horses have an interesting evolutionary history.'   'Horses exist,' he tells us, is equivalent to 'The number of horses is not zero.'  ("Being, Existence, and Ontological Commitment," p. 483)  But he denies that 'exists(s)' is second-level.  To say that the number of horses is not zero is to predicate of horses that they number more than zero. (483)  It is not to predicate of the concept horse that the cardinality of its extension is more than zero.

Now we cannot say of a horse that it surrounds a house or has an interesting evolutionary history.  We can say that of horses, but not of a horse.  Can we say of a horse that it numbers more than zero?  We can of course say of horses that they number more than zero. But I don't see how we can sensibly say of an individual horse that it numbers more than zero.  Perhaps Frege was wrong to think that number words can only be predicates of concepts which are ones-over-many.  Perhaps all one needs is the many, the plurality.  But it seems one needs at least that to swerve as logical subject.  If this is right, and to exist is to number more than zero, then we cannot sensibly say of an individual that it exists.  We can say this of individuals but not of an individual.  But surely we can say of an individual horse that it exists.  So I conclude that 'exist(s)' cannot be a first-level non-distributive predicate.

3.  And so one is driven  to the conclusion that 'exist(s)' is a first-level distributive predicate.  'Horses exist' says of each individual horse that it exists.  But isn't this equally objectionable?   The vast majority of horses are such that I have no acquaintance with them at all.  So how can my use of 'Horses exist' be about each horse? 

It is at this juncture that Frege gets his revenge:

We must not think that I mean to assert something of an African chieftain from darkest Africa who is wholly unknown to me, when I say 'All men are mortal.'  I am not saying anything about either this man or that man, but I am subordinating the concept man to the concept of what is mortal.  In the sentence 'Plato is mortal' we have an instance of subsumption, in the sentence 'All men are mortal' one of subordination.  What is being spoken about here is a concept, not an individual thing. (Posthumous Writings, p. 213)

Plato falls under the concept man; he does not fall within it.  The concept mortal does not fall under the concept man — no concept is a man — but falls within it.  When I say that all men are mortal I am not talking about individual men, but about the concept man, and I am saying that this concept has as part of its content the subconcept mortal

Similarly, my utterance of 'Horses exist' cannot be about each horse; it is about the concept horse, and says that it has instances — which is the view I began by rejecting and for god reason.

We seem to have painted ourselves into an aporetic corner.  No exit. Kein Ausgang. A-poria. 

God, Socrates, and the Thin Theory

I maintain that there are modes of being.  To be precise, I maintain that it is intelligible that there be modes of being.  This puts me at odds with those, like van Inwagen, who consider the idea unintelligible and rooted in an elementary mistake:

. . . the thick conception of being is founded on the mistake of transferring what properly belongs to the nature of a chair — or of a human being or of a universal or of God — to the being of the chair. (Ontology, Identity, and Modality, Cambridge 2001, p. 4)

To clarify the issue let's consider God and creatures.  God exists.  Socrates exists.  God and Socrates differ in their natures.  For example, Socrates is ignorant of many things, and he knows it; God is ignorant of nothing.  God is unlimited in power; Socrates is not.  And so on.  So far van Inwagen will agree.  But I take a further step: God and Socrates differ in the way they exist: they differ in their mode of being.  So I make a three-fold distinction among the being (existence) of x, the nature (quiddity, whatness) of x, and the mode of being of x.  At most, van Inwagen makes a two-fold distinction between the being of x and the nature of x.  For me, God and Socrates differ quidditatively and existentially whereas for van Inwagen they differ only quidditatively (in respect of their natures).

One difference between God and Socrates is that God does not depend on anything for his existence  while Socrates and indeed everything other than God depends on God for his/its existence, and indeed, at every time at which he/it exists.  I claim that  that this is a difference in mode of existence: God exists-independently while creatures exist-dependently. There would be an adequate rebuttal of my claim if thin translations could be provided of the two independent clauses of the initial sentence of this paragraph.   By a thin translation of a sentence  I mean a sentence that is logically equivalent to the target sentence but does not contain 'exist(s) or cognates or 'is' used existentially.  Translations are easy to provide, but I will question whether they are adequate.   Let 'D' be a predicate constant standing for the dyadic predicate ' — depends for its existence on ___.'  And let 'g' be an individual constant denoting God.

1. God does not depend on anything for his existence

1-t. (x)~Dgx. 

2. Everything other than God depends on God for its existence

2-t. (x)[(~(x = g) –> Dxg].

I will now argue that these thin translations are not adequate. 

I begin with the obvious point that the domain of the bound variable 'x' is a domain of existent objects, not of Meinongian nonexistent objects.    It is also obvious that the thin translations presuppose that each of these existents exists in the same sense of 'exists' and that no one of them differs from any other of them in respect of mode of existence.  Call this the three-fold presupposition.

Now consider the second translation, (2-t) above.   It rests on the three-fold presupposition, and it states that each of these existents, except God, stands in the relation D to God.  But this is incoherent since there cannot be a plurality of existents — 'existent' applying univocally to all of them — if each existent except God depends on God for its existence.  It ought to be obvious that if Socrates depends on God for his very existence at every moment, then he cannot exist in the same way that God exists.

I don't deny that there is a sense of 'exists' that applies univocally to God and Socrates.  This is the sense captured by the particular quantifier.  Something is (identically) God, and something else is (identically) Socrates.  'Is identical to something' applies univocally to God and Socrates.  My point, however, is that the x to which God is identical exists in a different way than the y to which Socrates is identical.  That 'is identical to something' applies univocally to both God and Socrates is obviously consistent with God and Socrates existing in different ways.

Here is another way to see the point.  To translate the target sentences into QuineSpeak one has to treat the presumably sui generis relation of existential dependence of creatures on God as if it were an ordinary external relation.  But such ordinary relations presuppose for their obtaining the existence of their relata. But surely, if Socrates is dependent on God for his very existence, then his existence cannot be a presupposition of his standing in the sui generis relation to God of existential dependence. He cannot already (logically speaking) exist if his very existence derives from God.

The point could be put as follows.  The Quinean logic presupposes ontological pluralism which consists of the following theses: everything exists; there is a plurality of existents; each existent exists in the same sense of 'exists.'  Ontological pluralism, however, is incompatible with classical theism according to which each thing distinct from God derives its existence from God.  On classical theism, everything other than God exists-derivatively and only God exists-underivatively.

On the Quinean scheme of ontological pluralism, the only way to connect existents is via relations that presuppose the existence of their relata.  So the relation of existential dependence that is part and parcel of the notion of divine creation must be misconstrued by the Quinean ontological pluralist as a relation that presupposes the logically antecedent existence of both God and creatures. 

The ontology presupposed by Quine's logic is incompatible with the theism van Inwagen espouses.  One cannot make sense of classical theism without a doctrine of modes of being.  One cannot be a classical theist and a thin theorist.

Holes and Their Mode of Being

Consider a particular hole H in a piece of swiss cheese.  H is not nothing.  It has properties.  It has, for example, a shape: it is circular.  The circular hole has a definite radius, diameter, and circumference.  It has a definite area equal to pi times the radius squared.  If the piece of cheese is 1/16th of an inch thick, then the hole is a disk having a definite volume.  H has a definite location relative to the edges of the piece of cheese and relative to the other holes.  H has causal properties: it affects the texture and flexibility of the cheese and its resistance to the tooth.  H is perceivable by the senses: you can see it and touch it.  You touch a hole by putting a finger or other appendage into it and experiencing no resistance.

Now if anything has properties, then it exists.  H has properties; so H exists. 

H exists and the piece of cheese exists.  Do they exist in the same way?  Not by my lights.  The hole depends for its existence on the piece of cheese; the latter does not depend for its existence on the former.  H is a particular, well-defined, indeed wholly determninate, absence of cheese.  It is a particular, existing absence.  As an absence of cheese it depends for its existence on the cheese of which it is the hole.

So I say the hole exists in a different way than the piece of cheese.  It has a dependent mode of existence whereas the piece of cheese has a relatively independent mode of existence.

On the basis of this and other examples I maintain that there are modes of being.  To be precise, I maintain that it is intelligible that there be modes of being.  This puts me at odds with those, like van Inwagen, who consider the idea unintelligible and rooted in an elementary mistake:

. . . the thick conception of being is founded on the mistake of transferring what properly belongs to the nature of a chair — or of a human being or of a universal or of God — to the being of the chair. (Ontology, Identity, and Modality, Cambridge 2001, p. 4)

Did I make a mistake above, the mistake van Inwagen imputes to thick theorists?  Did I mistakenly transfer what properly belongs to the nature of the hole — its dependence on the piece of cheese — to the being (existence) of the hole?

I plead innocent.  Perhaps it is true that it is the nature of holes in general that they depend for their existence on the things in which they are holes.  But H is a particular, spatiotemporally localizable, hole in a particular piece of cheese.  Since H is a particular existing hole, it cannot be part of H's multiply exemplifiable nature that it depend for its existence on the particular piece of cheese it is a hole in.  The dependence of H on its host is due to H's mode of existence, not to its nature.

Suppose there are ten quidditatively indiscernible holes in the piece of cheese: H1, H2, . . . H10.  Each exists.  Each has its own existence.  But each has the very same nature.  How then can this common nature be the factor responsible for making H1 or H2 or H3, etc.,  dependent on the particular piece of cheese?  The dependence of each hole on its host is assignable not to the nature common to all ten holes but to each hole's existence as a mode of its existence.

Now of course this will not convince any thin theorist.  But then that is not my goal.  My goal is to show that the thick theory is rationally defensible and not sired by any obvious 'mistake.'  If any 'mistakes' are assignable then I 'd say they are assignable with greater justice to the partisans of the thin theory.

Talk of 'mistakes,' though, is out of place in serious philosophy.  For apart from clear-cut logical blunders such as affirming the consequent, quantifier shift fallacies, etc. any alleged 'mistakes' will rest on debatable substantive commitments.

Whether Being is an Activity on the Thick Theory: Van Inwagen’s Straw Man Argument

(Note to Alfredo and Peter L:  I need your help in understanding this particularly opaque portion of PvI's paper.)

Here are some notes on section 2 of Peter van Inwagen's "Being, Existence, and Ontological Commitment" (pp. 476-479 of the Metametaphysics volume).

The first of the Quinean theses that van Inwagen maintains is that "Being is not an activity."  Here is the opening sentence of the section:

Many philosophers distinguish between a thing's being and its nature.  These philosophers seem to think of, e.g., Socrates' being as the most general activity Socrates engages in.

These two sentences have me flummoxed.  Let me explain why.

First, the two sentences taken together imply that philosophers who distinguish between a thing's being (existence) and its nature think of a thing's being as the most general activity it engages in.  That's just false.  There are philosophers who distinguish between being and nature (Aquinas for example) without holding that a thing's being is the most general activity it engages in.  Since I hesitate  to impute something plainly false to the dean of the thin theorists, I must question what he's driving at.

My suspicion is that van Inwagen (447) gets the notion that being is an activity entirely from J. L. Austin's jocose footnote to p. 68 of Sense and Sensibilia (Oxford, 1962):  "The word ['exist'] is a verb, but it does not describe something that things do all the time, like breathing, only quieter — ticking over, as it were, in a metaphysical sort of way."  That's clever all right, but too frail a reed to support a global imputation to all thick theorists of the view that being is a peculiarly quiet activity.

Second, since van Inwagen goes on to deny that being is an activity, are we to conclude that he rejects the distinction between being and nature?  Is PvI denying that there is a distinction between Socrates' nature and his existence?  Is he suggesting the following argument:

a. If there is a distinction between a thing's being and its nature, then being is the most general activity the thing engages in.

b. Being is not the most general activity a thing engages in.

Therefore

c. There is no distinction between a thing's being and its nature.

I hope van Inwagen is not suggesting any such argument.  For that would not cohere with his commitment to a Quinean translation of 'Socrates exists' into 'It is not the case that everything is identical to Socrates.'  This implies that the existence of Socrates is his identity-to-something — in which case there is a distinction between Socrates' nature and his existence.  After all, Socrates' nature and the property of being identical to something are distinct.

Third,  PvI speaks of "many philosophers' but gives no examples.  He needs a footnote right at the end of the second sentence above.  He needs to quote philosophers who explicitly say that being is a most general activity.  Farther down the page he mentions Heidegger and Sartre, but no page references are given and no quotations.  So my third point is that PvI seems to be committing a Straw Man fallacy.  Which philosopher ever said that being is the most general activity a thing engages in?

The view van Inwagen ascribes to thick theorists such as Heidegger and Sartre  involves the following propositions:

1. Being is an activity.

2. Being is the most general activity that a thing engages in, one that is implied by every other activity the thing in question engages in.  Thus if Socrates is running, then he is moving on his feet, and if so, then he is moving through space, etc.  until we come to some one terminal activity that is implied by all the other activities  the thing is engaged in at the time.

3.  This most general terminal activity — being — is the same activity at every time the thing in question is engaging in any activity.

4.  This most general activity is the same for each member of a given category, Thus it is the same for Socrates and Plato, but presumably not the same for a bridge or an ass.

5.  This most general terminal activity of being (existing) is different (or can be different) for different categories of entity. Thus the most general activity of a table is not the same as the most activity of a human being.  And so there are different kinds of being, different kinds of this most general terminal activity. 

Van Inwagen imputes the above five theses to Heidegger and Sartre and, it appears, to all thick theorists.

There are  several topics to discuss.  One, which I will leave until later, is whether Heidegger and Sartre are committed to the five theses listed.  A second is whether thick theorists in general are committed to them.

Well, I'm a thick theorist and I don't see that I am committed to them.  As a thick theorist I am committed to the intelligibility of the idea that there are modes of existence (ways or modes of being).  The thin theory, however, entails the unintelligibility of this idea.  For van Inwagen, the idea springs from a clear-cut mistake, namely, the mistake of transforming a difference in nature into a difference in mode of existence.  For van Inwagen, the vast difference between a human being and a rock is simply a vast difference in their natures, and does not imply any difference in the mode of being of that which has these natures.  The idea is not that a rock and a human being have the same mode of being, but that one cannot intelligibly speak of one or more modes of being at all.  The rock exists, the man exists, and to say that is just to say that each is identical to something or other.

I will now given an example which to my mind shows that it is intelligible that there be modes of existence.  We will have to see if I am committing the mistake of transforming a difference in nature into a difference in mode of existence.

Pains and Brains

Phenomenal pains exist and brain states exist.  More generally, there are non-intentional mental states and there are physical states.  But felt pains and felt pleasures and such have a “first-person ontology” as John Searle puts it.  The being of a pain is (identically) its being perceived.  But nothing physical is such that its being is (identically) its being perceived.  This certainly looks like a difference in mode of existence.  Pains exist in a first-person way while brains exist in a third-person way.  

What can the thin theorist  say in rebuttal?  The thins think that we thick-heads illicitly transfer what belongs to the nature of an item to its existence.  So a thin theorist must say that it belongs to the nature of a particular pain that it belong to some particular person.  But this cannot be right.  It cannot belong to the nature of this pain I am now enduring that it be felt by me.  For natures are multiply realizable.  We can of course say that it is the nature of pains in general to be perceived by someone or other. If a pain exists, however, it is a particular pain and it cannot be part of the nature of that particular pain to be perceived by some particular person sich as me.  The dependence of a particular pain on its being perceived is therefore due to its dependent mode of existence and not due to its nature.

Note also that nothing I said implies that the being of the particular pain I am in is a most general activity the pain is engaging in.  My pain is not an agent engaged in an exceedingly quiet activity; it is not an agent at all but a subjective state.

We must also note that the being of my felt pain and the being of your felt pain are numerically different contra van Inwagen's #4 above.

As far as I can see, little or nothing van Inwagen says in  section 2 of his paper  touches the thick theory.  What he has given us is a straw man argument.

Existence and an ‘Open Question’ Consideration

G. E. Moore famously responded to the hedonist's claim that the only goods are pleasures by asking, in effect: But is pleasure good?  The point, I take it, is that the sense of 'good' allows us reasonably to resist the identification of goodness and pleasure.  For it remains an open question whether pleasure really is good.  To appreciate the contrast between open and closed questions, consider Tom the bachelor.  Given that Tom is  a bachelor, it is not an open question whether Tom is an unmarried adult male.  This is because the sense of 'bachelor' does not allow us reasonably to resist the identification of bachelors with adult unmarried males.    It is built into the very sense of 'bachelor' that a bachelor is an adult unmarried male.  But it is not built into the very sense of 'good' that the good is pleasure.

It occurred to me while cavorting in the swimming pool the other  morning that a similar Open Question gambit can be deployed against the thin theorist.

Suppose a thin theorist maintains  the following.  To say that Quine exists is to say that Quine is identical to something.  No doubt, but does the something exist?  The question remains open.  Just as 'good' does not mean 'pleasurable,' 'something' does not mean 'something that exists.'  Otherwise,  'Something that does not exist'  would be a contradiction in terms.  But it is not.  Consider

1. A matter transmitter is something that does not exist.

It follows from (1) that

2. Something does not exist.

I am not claiming that (2) is true.  I hold that everything exists!  My claim is that (2) is neither a formal-logical contradiction, nor is it semantically contradictory, i.e., contradictory in virtue of the senses of the constituent terms.  Here is an example of a formal-logical contradiction:

3. Something  that does not exist exists.

Here is an example of a sentence that, while not self-contradictory by the lights of formal logic, is semantically contradictory:

4. There are bachelors that are not unmarried adult males.

'Some cat is fat' and 'A fat cat exists' are logically equivalent.  But do they have exactly the same meaning (sense)?  This is an open question.  And precisely because it is an open question, the two sentencces do not have the same meaning, pace London Ed, van Inwagen and the rest of the thin boys.  For there is nothing in the very sense of 'Some cat is fat' to require that a fact cat exist.  Compare 'Some unicorn is angry.'  Does that require by its very sense that an angry unicorn exists?

Am I getting close to the point where I can justifiably diagnose van Inwagen and the boys with that dreaded cognitive aberration, existence-blindness? Or is it rather the case that I suffer from double-vision? 

Nausea at Existence: A Continental Thick Theory

A reader wants me to comment on the analytic-Continental split.  Perhaps I will do so in general terms later, but in this post I will consider one particular aspect of the divide that shows up in different approaches to existence.  Roughly, Continental philosophers espouse the thick theory, while analytic philosophers advocate the thin theory.  Of course there are exceptions to this rule: Your humble correspondent is an analytic thick theorist and so is Barry Miller.  Whether there are any Continental thin theorists I don't know.

Why should analytic philosophers prefer the thin theory?  Part of the reason, some will say, is that analysts tend to be superficial people: they are logically very sharp but woefully lacking in spiritual depth.   They are superficial specimens of what Heidegger calls das Man, the 'they': lacking authenticity, they float along on the superficies of things.  Bereft of  a depth-dimension in themselves, they are blind to the world's depth-dimension.  Blind to the world's depth-dimension, they are blind to existence.  A Heideggerian might say that they are not so much blind as forgetful: they have succumbed to die Vergessenheit des Seins.  The analysts, of course, will not  admit to any such deficiencies of sight or memory.  They will turn the tables and accuse Continentals such as Heidegger and Sartre of being muddle-headed mystics and obscurantists who commit school-boy blunders in logic.  (Carnap's famous/notorious attack on Heidegger is a text-book case.)

So we have a nice little fight going, complete with name-calling.  Perhaps a little exegesis of a passage from Sartre will help clarify the issue.  I have no illusions about converting any thin theorist.  I aim at clarity, not agreement.  I will be happy if I can achieve  an exact understanding of what we are disagreeing about and why we are disagreeing.  When that goal is attained we can cheerfully agree to disagree.

Nausea

So let's consider the famous 'chestnut tree' passage in Jean-Paul Sartre's novel, Nausea.  The novel's protagonist, Roquentin, is in a park when he has a bout of temporary aphasia while contemplating the roots of a chestnut true. Words and their meanings vanish. He finds himself confronting a black knotty mass that frightens him. Then he has a vision:

It left me breathless. Never, until these last days, had I understood the meaning of 'existence.' I was like all the others, like the ones walking along the seashore, all dressed in their spring finery. I said, like them, 'The ocean is green; that white speck up there is a seagull,' but I didn't feel that it existed or that the seagull was an 'existing seagull'; usually existence hides itself. It is there, around us, in us, it is us, you can't say two words without mentioning it, but you can never touch it. When I believed I was thinking about it, I must
[have] believe[d] that I was thinking nothing, my head was empty, or there was just one word in my head, the word 'to be.' Or else I was thinking . . . how can I explain it? I was thinking of belonging, I was telling myself that the sea belonged to the class of green objects, or that that green was a part of the quality of the sea. Even when I looked at things I was miles from dreaming that they existed; they looked like scenery to me. I picked them up in my hands, they served me as tools, I foresaw their resistance. But that all happened on the surface.

If anyone had asked me what existence was, I would have answered, in good faith, that it was nothing, simply an empty form that was added to external things without changing anything in their nature. And then all of a sudden, there it was, clear as day: existence
had suddenly unveiled itself. It had lost the harmless look of an abstract category: it was the very paste of things, this root was kneaded into existence. Or rather the root, the park gates, the bench, the sparse grass, all that had vanished: the diversity of things, their individuality, were only an appearance, a veneer. This veneer had melted, leaving soft, monstrous masses, all in disorder — naked, in a frightful, obscene nakedness. (p. 127 tr. Lloyd Alexander, ellipsis in original.)

This marvellous passage records Roquentin's intuition (direct nonsensory perception) of Being or existence. (It would be interesting to compare in a subsequent post Jacques Maritain's Thomist intuition of Being with Sartre's existentialist intuition of Being.) Viewed through the lenses of logic, 'The green sea exists' is equivalent to 'The sea is green' and 'The sea belongs to the class of green objects.' For the (standard)  logician, then, 'exists' and cognates is dispensable and the concept of existence is fully expressible in terms of standard logical machinery.  Anything we say using 'exists(s)' we can also say without using 'exist(s).  To give another example, 'Dragons do not exist' is logically equivalent to 'Everything is not a dragon.'  If we want, we can avoid the word 'exist(s)' and substitute for it some logical machinery: the universal quantifier and the tilde (the sign for negation) as in our last example.

But why would a man like Peter van Inwagen — the head honcho of the thin theorists — want to avoid 'exist(s)'?  Because he wants to show that existence is a thin notion: there is nothing more to it than can be captured using the thin notions of logic: quantification, negation, copulation, and identity.  He wants to show that there is no reason to think that there is any metaphysical depth lurking behind 'exist(s)' and cognates, that there is no room for a metaphysics of existence as opposed to a logic of 'exist(s)'; nor room for any such project as Heidegger's fundamental ontology (Being and Time) or Sartre's phenomenological ontology (Being and Nothingness).

And why does the thin theorist go to all this deflationary trouble?  Because he lacks this sense or intuition of existence that philosophers as diverse as Wittgenstein, Maritain, and Sartre share, a sense or intution he feels must be bogus and must rest on some mistake.  He fancies himself the clear-headed foe of obfuscation and he sees nothing but obfuscation in talk of Being and existence.

But as I have been arguing ad nauseam (so to speak) over many a blog post, published article and book, sentences like 'The sea is green' presuppose for their truth that the sea is an existing sea. Compare the reference above to an existing seagull. And, as Sartre has Roquentin says, "usually existence hides itself." It hides itself from all of us most of the time when we are immersed in what Heidegger calls average everydayness (alltaegliche Durchschnittlichkeit, vide Sein und Zeit), and existence hides itself from the logician qua logician all the time. For all of us most of the time, and for logicians all of the time, existence is "nothing, simply an empty form."

In fact, that is a good statement of the thin theory:  existence is nothing at all, apart from an empty logical form.  Sea, seagull, bench, tree, root  — but no existence of the sea, of the seagull, of the bench, etc.  Sea, seagull, bench, tree, root, and some logical concepts.  That's it.

"Usually existence hides itself."  This invites mockery from the thin theorists.  What?  Existence plays hide-and-seek with us?!  [Loud guffaws from the analytic shallow-pates.]  To the existence-blind it must appear a dark and indeed incomprehensible saying.  But  of course to the blind that which is luminous must appear dark.  Perhaps we can recast Sartre's loose and literary formulation in aseptic terms by saying that existence is a hidden and taken-for-granted presupposition of our discourse that for the most part remains hidden and taken-for-granted. Let me explain.

'The sea is green' and 'The green sea exists' are logically equivalent.  But this equivalence rests on a tacit presupposition, namely, that the sentences are to be evaluated relative to a domain of existing items.  The reason we can make the deflationary move of replacing the latter sentence with the former is because existence is already present, though hidden,  in 'The sea is green.'   'The sea is green' can be parsed as follows: The sea is (exists) & the sea (is) green, where the parentheses around 'is' indicate that it functions as a pure copula, a pure predicative link and nothing more.  The parsing makes it clear that the 'is' in 'The sea is green' exercises a dual function: it is not merely an 'is' of predication: it is also an 'is' of existence.  Therefore, translation of 'The green sea exist' as 'The sea is green' does not eliminate existence as the thin theorist falsely assumes.

In material mode, the point is that nothing can have a property unless it exists.   The sea cannot be green or slimy or stinky unless it exists.  This existence of the sea, seagull, etc., however, is a presupposition that remains hidden as long as we comport ourselves in Heidegger's "average everydayness" manipulating things for our purposes but not wondering at their very existence.  We have to shift out of our ordinary everyday attitude in order to be struck by the sheer existence of things.  Perhaps the thin theorist is incapable of making that shift.  But he really doesn't need to if he has followed my reasoning.

What the thin theorist  does is to substitute logical Being for real Being. Note that I am not endorsing Sartre's theory of real Being: that it is an absurd excrescence, de trop (superfluous), unintelligible, etc. What I am endorsing is his insight that real Being is extralogical, that it is not a thin notion exhausted by the machinery of logic.  Thus I am endorsing what is common to Sartre, Maritain, Wittgenstein, and others, namely, that existence is real not merely logical.

But what if you are one of those sober types who has never experienced anything like Heideggerian Angst or Sartrean nausea or Wittgenstein's wonder at the existence of the world? Well, I think you could still be brought by purely discursive methods to understand how existence cannot reduce to a purely logical notion. We shall see.  

Some Man is White Because a White Man Exists

(Theme music: Ballad of a Thin Man)

Phoenicians and Londoners agree that 'Some F is a G' and 'An FG exists' are logically equivalent.  Thus, 'Some man is white' is logically equivalent to 'A white man exists.'  But I take a further step: some man is white because a white man exists, where 'because' expresses the asymmetrical relation of metaphysical grounding.   London Ed refuses to take this step and finds my position unintelligible.  He objects:

Now I agree that if 'a white man exists' has a different meaning from 'some man is white', then the question of whether some F is a G because some FG exists, is an intelligible one. But it is not intelligible if they have the same meaning, as London 'thin' theorists claim. After all, the statement

(1) Some man is white because some man is white

is not intelligible. Nor is

(2) Some man is white because the sentence 'quidam homo est albus' is true

For the Latin sentence 'quidam homo est albus' means the same as 'some man is white'. The one sentence translates into the other. So there is no meaningful 'because' here. So why does Maverick think that

(3) Some man is white because some white man exists.

is intelligible? He says as much in his comment #6. So does he think that 'some man is white' has the same meaning as 'a white man exists'? Surely not, for the reasons stated here. But if the meaning is different, what is that difference?

I agree with Ed that if 'Some man is white' and 'A white man exists' have exactly the same meaning, then 'Some man is white because a white man exists' is unintelligible.  That's entirely clear.  So I have to show that the two sentences — call them the some-sentence and the existence-sentence — do not have the same meaning.

We agree that the two sentences have the same truth-conditions.  But sameness of truth-conditions does not entail sameness of meaning.  'X is triangular' and 'x is trilateral' have the same truth-conditions but not the same meaning.  So I hope that Ed is not inferring sameness of meaning from sameness of truth-conditions.

Or maybe Ed thinks that the thin theorist stipulatively defines 'exist(s)' in terms of the particular quantifier.  If that is what the thin theorist is doing, then I grant that the existence-sentence and the some-sentence have the same meaning.  For then they are arbitrarily stipulated to have the same meaning. But then the thin theory is wholly without interest.  Substantive philosophical questions cannot be answered by framing stipulative definitions.  The substantive question is: What is the nature of existence?  If the thin theory is worth discussing it is the theory that "existence is what existential quantification expresses" (Quine), that existence is wholly understandable in  terms of such purely logical notions as the particular quantifier and identity.  Thus Quine explicates 'a exists' in terms of '(Ex)(x = a).'  That existence is a purely logical notion is what I most strenuously deny.

What positive reason is there for thinking that the two sentences have different meanings? Well, 'A white man exists' says all that 'Some man is white' says, but it says more: it makes explicit that there are one or more existing items that are such that they are both human and white.  The existence-sentence is richer in meaning than the some-sentence.  It makes explicit that the item that is both human and white exists, is not nothing, is mind-independently real — however you want to put it.

Or perhaps we could put it this way.  The some-sentence abstracts from the existential aspect of the existence-sentence and so does not capture the whole of its meaning.

Do the gods love the pious because it is pious, or is the pious pious because the gods love it?   That, Ed agrees, is an intelligible question.  And so I take it he agrees that there is a relation we can call metaphysical grounding which is neither logical not causaI.   I say it's the same with the existence problem.  One can intelligibly ask whether some F is G because an FG exists, or vice versa. 

My answer is that existence is metaphysically prior to somemess, and metaphysically grounds it. 

Can a Thin Theorist Experience Wonder at Existence?

Existence elicited nausea from Sartre's Roquentin, but wonder from Bryan Magee:

 . . . no matter what it was that existed, it seemed to me extraordinary beyond all wonderment that it should. It was astounding that anything existed at all. Why wasn't there nothing? By all the normal rules of expectation — the least unlikely state of affairs, the most economical solution to all possible problems, the simplest explanation — nothing is what you would have expected there to be. But such was not the case, self-evidently. (Confessions of a Philosopher, p. 13)

We find something similar in Wittgenstein:  Wie erstaunlich, dass ueberhaupt etwas existiert.  "How astonishing that anything at all exists." (Geheime Tagebuecher 1914-1916, p. 82.)

What elicited Magee's and Wittgenstein's wonderment was the self-evident sheer existence of things in general: their being as opposed to their nonbeing. How strange that anything at all exists! Now what could a partisan of the thin conception of Being or existence make of  this wonderment at existence? Or at Sartre's/Roquentin's nausea at existence?  I will try to show that no thin theorist qua thin theorist can accommodate  wonderment/nausea at existence, and that this fact tells against the thin theory.

 

I have already exposited the thin theory ad nauseam, if you will forgive the pun.  So let's simply consider what the head honcho of the thin theorists, Peter van Inwagen, has to say about wonder at existence in "Being, Existence, and Ontological Commitment" (in Metametaphysics: New Essays on the Foundations of Ontology, eds. Chalmers et al., Oxford 2009, pp. 472-506) He begins by pointing out (478) that everything we say using 'exists' and its cognates can be said without using 'exists'and its cognates.  'Dragons do not exist' can be put by saying 'Nothing is a dragon,' or 'Everything is not a dragon.'  'God exists' can be put in terms of the equivalent 'It is not the case that everything is not (a) God.' 'I think, therefore I am' is equivalent to 'I think, therefore not everything is not I.'  Here are some further examples of my own.  'An honest politican does not exist' is equivalent to 'No politician is honest.'  'A  sober Irishman does  exist'  is equivalent to 'Some Irishman is sober.'  'An impolite New Yorker does not exist' is equivalent to 'Every New Yorker is polite.'

From examples like these it appears that every sentence containing 'exists' or 'is' (used existentially) or cognates, can be be replaced by an equivalent sentence in which 'exists' or  'is' (used existentially), or cognates does not appear.

Now let's see how this works when it comes to the sentences we use to express our wonder at our own existence or at the existence of things in general.

Suppose I am struck by a sudden sense of my contingency.  I exclaim, 'I might never have existed.'  That is equivalent to 'I might never have been identical to anything' or, as van Inwagen has it, 'it might have been the case that everything was always not I.' (479)

To wonder why there is anything at all is to wonder "why it is not the case that everything is not (identical with) anything." (479)

Now I could mock these amazing contortions whereby van Inwagen tries to hold onto his thin theory, but I won't.  Mockery and derision have a place in polemical writing, as when I am battling the lunkheads of the Left, but they have no place in philosophy proper.  But really, has anyone  ever expressed his wonder at the sheer existence of the world using the sentence I just quoted from PvI?  But of course I need a more substantial objection that this, and I have one.

When I wonder at the sheer existence of things I am not wondering at the fact that everything is identical to something, or  wondering  at its not being the case that everything is not identical with anything.

Why not? Well, the truth of 'Everything is identical to something' presupposes a domain of quantification the members of which are existing items.  Surely what I find wonder-inducing is not the fact that every item x in that presupposed domain is identical to some item y in that very same presupposed domain! That miserable triviality is not what I am wondering at.   I am wondering at the  existence of anything at all including the domain and everything in it.

What I am wondering at is that there is something and not nothing.  How can a Quinean such as PvI express that something exists?  Is 'Something exists' equivalent to 'For some x, x = x'?  No.  Existence is not self-identity.  For x to exist is not for x to be self-identical.  Otherwise, for x not to exist would be for x to be self-diverse — which is absurd.  My possible nonexistence is not my possible self-diversity.

Suppose there is only only one  thing, a, and that I am wondering at the existence of a.  Why is there a and not rather nothing?  Am I wondering at a's self-identity?  Obviously not.  I am wondering at a's sheer existence, that it is 'there,' that it is not nothing, that is it, that it has Being. 

And so I conclude that a thin theorist qua thin theorist cannot experience wonder at the sheer existence of things.  All he can experience wonder at — if you want to call it wonder — is that things presupposed as existing are self-identical — which is surely not all that marvellous.  Of course they are self-identical!  Necessarily if a thing exists, it is self-identical. But existence is not self-identity. If existence were self-identity, then nonexistence would be self-diversity and possble existence would be possible self-diversity. 

Some of us experience wonder at the sheer existence of things.  As old Ludwig puts it, Ich staune dass die Welt existiert!  When I experience this wonder I am not experiencing wonder at the trivial fact that each of the things presupposed as existing is identical to something or  other.  I am wondering at the existence of everything including the presupposed domain of existents.  This then is yet another argument against the thin theory.  The thin theory cannot accommodate wonder at existence, or Sartrean nausea at existence either. 

Existence, Circularity, and Metaphysical Grounding

London Ed must have known by some paranormal means  that I was talking about him over Sunday breakfast with Peter Lupu.  For his post upon return from sunny Greece is about the alleged circularity of the thin conception of existence.  Peter and I were discussing Peter van Inwagen's  "Being, Existence, and Ontological Commitment" (in Metametaphysics: New Essays on the Foundations of Ontology, eds. Chalmers et al., Oxford 2009, pp. 472-506.)  Van Inwagen is a Quinean about existence and perhaps the most prominent and formidable of the contemporary thin theorists.  Me, I'm a thick-head: existence is not (identical to) what so-called 'existential' quantification  expresses, and existence comes in modes.  The negations of these convictions I reject as two dogmas of analysis (from the title of a forthcoming paper).

I was lamenting to Peter that I couldn't get London Ed to see my point about circularity.  I now think I understand why Ed doesn't accept it.  It has to do with his not accepting a different notion, that of metaphysical grounding.

Let's start with a Quinean explication of a sentence such as 'Peter exists.'  It goes like this:

1. Peter exists =df for some x, x = Peter.

What does (1) accomplish?  Well, it shows how one can get rid of 'exists' as a first-level predicate, and with it a reason for thinking that existence is a property of individuals.  For it is clear (assuming that there are no nonexistent objects) that the sentences flanking '=df' are equivalent, indeed logically equivalent: there is no possible situation in which  one is true (false) and the other false (true).

Now in one sense of 'circular' I want to concede to Ed that (1) is not circular:  the definiens — the RHS of (1) — does not contain 'exists.'  In other words, (1) is not circular in the way the following are circular:

X is a human being =df x has human parents.
Knowledge is the state one is in when one knows something.
Knowledge is cognition.
A book of pornography is one that contains pornographic material.

The following, whether correct or incorrect,  are not circular definitions in the above sense:

Knowledge is justified true belief.
Justice is whatever is advantageous to the stronger.
A circle is a locus a points in the same plane equidistant to some common point.

(1) is clearly not circular in the manner of the above examples: the definiendum is not repeated in the definiens.  So in what sense is (1) circular? (1) is true iff the following is true

1a. Peter exists =df for some existing x, x = Peter.

(1a), however, is plainly circular.  After all, (1) is  not equivalent to

1b. Peter exists =df for some x, whether existent or nonexistent, x = Peter.

For if (1) were equivalent to (1b), then (1) would be false.

One response I anticipate Ed making is to say that there is no difference between 'x' and 'existing x': whatever is a value of the one is a value of the other, and vice versa.  If so, then perhaps (1a) collapses into (1) and there is no circularity in the sense in which the examples above are circular.

I would insist, however, that (1) is circular in a different and deeper  sense.  A presupposition of (1)'s truth is that the domain of quantification — the domain over which the variable 'x' ranges — is a domain of existents.  Therefore, if I want  to know what it is for x to exist, you have not given me any insight by telling me that for x to exist is for x to be identical to something that exists.  For of course x is identical to something that exists, namely x!

Suppose we distinguish between semantic and metaphysical circularity.  I am willing to concede that (1) is not semantically circular.  But I do maintain that (1) is metaphysically circular: its truth presupposes that the domain of quantification is a domain of existing items.  To put it another way, the truth of (1) has an ontological or metaphysical ground, namely the existence of the items over which we quantify.

Consider a domain consisting of just three items: Peter, Paul, and Mary. Peter exists iff one of these items is identical to Peter.  Paul exists iff one of these items is identical to Paul.  Mary exists iff one of these items is identical to Mary.  Perfectly true and perfectly trivial.  Although we learn something necessarily true about Peter, about Paul, and about Mary, we do not learn what it is for Peter or Paul or Mary to exist in the first place

I want to know that is is for Peter (who stands in here for any individual) to exist. You tell me that for Peter to exist is for Peter to be identical to something.  But in giving this true but trivial answer you have helped yourself to the existence of the thing to which Peter is identical.  You have evaded my question by assuming that we are just given existing individuals.

What form could an answer take?  One answer is that the existence of the items in the domain of quantification is a brute fact and thus inexplicable.  To exist is just to be there inexplicably.  That would at least be an honest answer as opposed to the silly triviality that to exist is to be identical to something.  A radically different answer is to say that for a concrete contingent ndividual to exist is for it to be a divine creation.  Both the brute fact answer and the theistic answer are consistent with Quine's triviality.

Getting back to London Ed, why doesn't he accept my circularity objection to the thin theory?  He doesn't accept it because he is operating with an exclusively semantic notion of circularity which remains at the level of sentences and does not descend to the level of the truth-makers (ontological grounds) of sentences.  (In earlier discussions it became clear that Ed has no clue as to what a truth-maker is supposed to be.) The thin theory, as expressed in (1), however, is not obviously semantically circular: 'exists' is not found on the RHS. All one finds there is a quantifier, a variable bound by the quantifier, the identity sign, and a name that functions in this context as an arbitrary constant.  My claim, however, is that (1) is metaphysically or ontologically circular.  This notion is one that Ed does not understand.

Metaphysical grounding, one of whose forms is truth-making, is for Ed a wholly unintelligible notion.  For Peter and me, however, it is an intelligible notion .  Here I think we can locate the ultimate root of our disagreement.

What say you, gentlemen?

Van Inwagen on ‘Exists’ as a Polyadic Predicate

This post continues my examination of Peter van Inwagen's "Being, Existence, and Ontological Commitment."  The first post in this series is here.  There you will find the bibliographical details.

We saw that van Inwagen gives something like the following argument for the univocity of 'exists':

1. Number-words are univocal

2*. 'Exist(s)' is a number-word

Therefore

3*. 'Exist(s)' is univocal.

The second premise is pure Frege.  The question arises: is van Inwagen committed to the Fregean doctrine that 'exists(s)' is a second-level predicate?  He says he isn't. (484)

How should we understand a general existential such as 'Horses exist'?  Frege famously maintained that 'exist(s)' is a second-level predicate: it is never a predicate of objects, but always only  a predicate of concepts.  What the sample sentence says is that the concept horse has instances.  Despite appearances, the sentence is not about horses, but about a non-horse, the concept horse.  The concept horse is not a horse!  (Frege also famously and perplexingly maintains that the concept horse is not a concept, but let's leave that for another occasion.)  And what our general existential says about the concept horse is not that it exists (as we ordinarily understand 'exists') but that it is instantiated.  Van Inwagen, though endorsing Frege's key notion that (as PvI puts it) "existence is closely allied to number" (482) does not follow Frege is in holding that 'exists' is a second-level predicate.

Van Inwagen thus appears to be staking out a middle position between the following extremes:

A. 'Horses exist' predicates existence of individual horses.

B. 'Horses exist' predicates instantiation of the concept horse.

Van Inwagen's view is that 'Horses exist' says that horses, taken plurally, number more than zero.  So 'Horses exist,' contra Frege, is about horses, but not about individually specified horses such as Secretariat and Mr Ed. 'Horses exist' is not about the concept horse or any other abstract object such as a property or a set: it is about concrete horses, but taken plurally.

I am trying to understand this, but I find it obscure.   One thing I do understand is that there are predicates that hold plurally (collectively) but not distributively, but are not, for all that, second-level.  Van Inwagen gives the example:

1. Horses have an interesting evolutionary history.

Obviously, the predicate in (1) is not true of each individual horse.  No individual horse evolves in the sense pertinent to evolutionary theory.  But the predicate  is also not true of the concept horse or the set of horses or the property of being a horse or any other abstract object.  No concept, set, or property evolves in any sense.  So what is the logical subject of (1)?  Horses in the plural, or horses taken collectively.  Or suppose the cops have a building surrounded.  No individual cop has the building surrounded, and of course no abstract object has the building surrounded.  Cops have the building surrounded.  Suppose Manny is one of the cops.  Then the following argument would commit the fallacy of division: (a) The cops have the building surrounded; (b) Manny is one of the cops; ergo (c) Manny has the building surrounded.  What is true of cops in the plural is not true of any cop in the singular.

If I have understood PvI, he is saying that 'exists' functions like the predicate in (1), and like the predicate in 'The cops have the building surrounded.'   But this strikes me as problematic.  Consider these two arguments:

Horses have evolved
Secretariat is a horse
ergo
Secretariat has evolved.

Horses exist
Secretariat is a horse
ergo
Secretariat exists.

The first argument is invalid, committing as it does the fallacy of division.  The second argument is perfectly in order.

So it seems, contra Van Iwagen, that  'Horses exist' is importantly disanalogous to 'Horses have evolved' and 'The cops have the building surrounded.'  'Exists' is predicable of specified individuals, individuals in the singular.  'Evolved' is not predicable of specified individuals, individuals in the singular, but only of individuals in the plural.

I take van Inwagen to be saying that the logical subject of 'Horses exist' is not the concept horse, but horses, horses in the plural, and what it says of them is that they number more than zero.  What I am having trouble understanding is how 'more than zero' can attach to a plurality as a plurality, as opposed  to a  one-over-many such as a concept (which has an extension) or a set (which has a membership).

A plurality as a plurality is not one item, but a mere manifold of items: there is simply nothing there to serve as logical subject of the predicate 'more than zero.' 

"But look, Bill, it is the horses that are more than zero; so there is a logical subject of the predicate."

Response: You can't say what you want to say grammatically.  If there IS a logical subject of the predicate, then it is not a mere manyness. But if there ARE many subjects of predication, then 'more than zero' applies to each horse which is not what you want to say.   There must be something that makes the particulars you are calling horses horses, and that would have to be something like the concept horse; otherwise you have an unintelligible plurality of bare particulars.  But then when you say that the horses are more than zero you are saying that the concept horse has more than one instance, and number-words become second-level predicates.

My suspicion is that van Inwagen's middle path is unviable and that his position collapses into the full-throated Fregean position according to which (a) "existence is allied to number" and (b) number-words are second-level predicates. 

Van Inwagen on the Univocity of ‘Exists’

In "Being, Existence, and Ontological Commitment" (in Metametaphysics: New Essays on the Foundations of Ontology, eds. Chalmers et al., Oxford 2009, pp. 472-506), Peter van Inwagen argues that 'exists' is univocal: it does not have "different meanings when applied to objects in different categories." (482)  This post will examine one of his arguments, an argument found on p. 482.  All quotations are from this page.

Van Inwagen begins by noting that number words such as 'six' or 'forty-three' do not "mean different things when they are used to count objects of different sorts."  Surely he is correct: "If you have written thirteen epics and I own thirteen cats, the number of your epics is the number of my cats."  So the first premise of the argument is the indisputable:

1. Number-words are univocal in sense: they mean the same regardless of the sorts of object they are used to count.

Van Inwagen takes his second premise straight from Frege:

2. "But existence is closely allied to number."

How so?  Well, to say that unicorns do not exist is equivalent to saying that the number of unicorns is zero, and to say that horses exist is equivalent to saying that the number of horses is one or more.  Surely that is true for both affirmative and negative general existentials.  Whether it is true for singular existentials is a further question.

Van Inwagen proceeds: "The univocacy [univocity] of number and the the intimate connection between number and existence should convince us that existence is univocal."  The conclusion of the argument, then, is:

3. Existence  is univocal.

The first thing to notice about this argument is that it is not even valid.  Trouble is caused by the fudge-phrase 'closely allied to' and van Inwagen's shift from 'exists' to existence.  But repairs are easily made, and charity demands that we make them.  Here is a valid argument that van Inwagen could have given:

1. Number-words are univocal

2*. 'Exist(s)' is a number-word

Therefore

3*. 'Exist(s)' is univocal.

The latter argument is plainly valid in point of logical form: the conclusion follows from the premises.  It is the argument van Inwagen should have given.  Unfortunately the argument is unsound.  Although (1) is indisputably true,  (2*) is false.

Consider my cat Max Black.  I joyously exclaim, 'Max exists!'  My exclamation expresses a truth.  Compare 'Cats exist.'  Now I agree with van Inwagen that the general  'Cats exist' is equivalent to 'The number of cats is one or more.'  But it is perfectly plain that the singular  'Max exists' is not equivalent to  'The number of Max is one or more.'  For the right-hand-side of the equivalence is nonsense, hence necessarily neither true nor false.

This question makes sense: 'How many cats are there in BV's house?'  But this question makes no sense: 'How many Max are there in BV's house?'  Why not?  Well, 'Max' is a proper name (Eigenname in Frege's terminology) not a concept-word (Begriffswort in Frege's terminology).  Of course, I could sensibly ask how many Maxes there are hereabouts, but then 'Max' is not a proper name, but a stand-in for 'person/cat named "Max" .'  The latter phrase is obviously not a proper name.

Van Inwagen's argument strikes me as very bad, and I am puzzled why he is seduced by it.  (Actually, I am not puzzled: van Inwagen is in lock-step with Quine; perhaps the great prestige of the latter has the former mesmerized.)  Here is my counterargument:

4. 'Exists' sometimes functions as a first-level predicate, a predicate of specific (named) individuals.

5. Number-words never function as predicates of specific (named) individuals

Therefore

6. 'Exists' is not a number-word.

Therefore

7. The (obvious) univocity of number-words is not a good reason to think that 'exists' is univocal.

Of course, there is much more to say — in subsequent posts. For example if you deny (4), why is that denial more reasonable than the denial of (2*)?

Existence: A Contrast Argument Defeated

This is a post from the old blog.  It originally appeared on 27 May 2008 and appears now slightly redacted.

***********

In this blogging game you throw out your line and damned if you don't snag a good catch now and again. I dredged up Peter Lupu from the Internet's vasty deeps long about January [2008] and I'm glad I did. He's smart and has an admirable passion for philosophy, that highest and most beautiful of all human pursuits. Even more remarkable, perhaps, is his ability to keep his passion alive in the midst of the mundane quest for the buck that keeps the wolf from the door, the lupus from the Lupu.

Enough of cleverness and encomium. Back to work.

In a  comment [now lost in the ether], Peter mentions three points of difference between me and him on the topic of existence.

First, he denies my assertion that Frege and Russell are eliminativists about singular existence, though he agrees with me that for neither is existence attributable to individuals. Let's leave this topic for later. Second, Peter thinks that Kant denies that existence is a property of individuals and that Kant anticipates Frege and Russell on existence. This is a bad mistake that almost every analytic philosopher makes; Peter is in truly excellent company. It too deserves a separate discussion. [And receives it in a forthcoming article, "Existence: Two Dogmas of Analysis."]

Third, Peter seems to think that the fact that everything exists shows that existence cannot be a property of individuals. This is the question I propose to discuss in today's installment.

We agree:  everything exists, which is to say: there are no nonexistent items, pace Alexius von Meinong. Existence, then, is not classificatory: it does not divide a sum-total of items into two mutually exclusive and jointly exhaustive subgroups, the existent items and the nonexistent  items.  There are no nonexistent items.  Peter mentions rationality, weight, and temperature. Some things have weight, some things don't. And the same goes for the other properties. Because some things are rational and others are not, Peter  suggests that it makes sense to inquire into what it is for something to be rational. But since absolutely everything exists, it makes no sense, Peter suggests, to inquire into what it is for something to exist. Existence lacks content due to a failure of contrast. Peter seems to be offering us a

Contrast Argument

   1. If a term 'F' has an explicable content, then there must be items to
   which 'F' does not apply.
   2. There are no items to which 'being' or 'existent' does not apply.
   Ergo
   3. 'Being' or 'existent' does not have an explicable content..

In point of validity, this argument is unobjectionable: it is an instance of Modus Tollens. But it is unsound. The following consideration suffices to refute the first premise. Since everything is self-identical, it is true to say of any particular thing that it is self-identical. But 'self-identical' is not rendered either without sense or content by the plain fact that nothing is self-diverse. Or consider the proposition  that every event has a cause.  Suppose it is true.  (And suppose that everything at bottom is an event.)  Then every event has the property of being caused and no event lacks this property.  But it does not follow that we cannot ask what it is for an event to be caused.  The different theories of causation would be answers to this question.

I  don't think we need to waste any more words on the first premise. It is obviously false.
But even if you insist that (1) is true, there is still a problem with the argument. Although (2) is true, it does not have the implication one might think it to have. One might think that if everything exists,
then it is unintelligible to suppose that there is a difference between existence and nonexistence. But this is a non sequitur. For although it is true that there is nothing that does not exist, a contingent being that does exist is possibly such that it does not exist. So there is a contrast after all. It is the contrast between  existence and possible nonexistence.  Each contingent individual faces the contrast: existence versus possible nonexistence.  With apologies to the Bard, "To be or [possibly] not to be, that is the question."

It is quite clear that the difference between existence and nonexistence cannot be explained by giving examples of existents and examples of nonexistents. Pace Meinong and the Meinongians, there are no examples or instances of nonexistents. One could put this by saying that the existence/nonexistence contrast does not show up extensionally and indeed cannot.  But how it is supposed to follow from this that there is nothing real in things that grounds the application of 'exists' to them?  I exist.  I am not nothing.  But I might never have come to exist.  And given that I do exist now, I might not have existed now.  This 'property' of existing is of course no ordinary property.  It is not like the properties of being red, or ripe, or spheroid.  But I have it and I might not have.  And so there is a contrast, situated at the level of each contingent individual, between its existence and its possible nonexistence.

Peter claimed that  since absolutely everything exists, it makes no sense to inquire into what it is for something to exist.  I just rebutted his claim by pointing out that Contrast Arguments are in in general unsound and by pointing out that, with respect to existence there is after all a contrast, the contrast between the existence of a contingent individual and its possible nonexistence.

It seems to me that there is a rather obvious mistake that one ought to avoid. And that is to assume that existence or Being is a highest what-determination. The mistake is to think of 'being' as a maximally general term which, due to its all-inclusive extension, is virtually nil in intension. Here is an example of how the mistake is made:

     The distinction between 'being' and, for example, 'dog,' is then a
     distinction between the more general and the less general. This is
     a logical or cognitional distinction, which does not necessarily
     reflect anything in the nature of things. Nor does it necessarily
     point to any real composition within things. It is analogous to the
     distinction made between 'animal' and 'dog' when it is said that
     Rover is a dog and Rover is an animal, which distinction does not
     point to two distinct principles within Rover: dog and animal.
     Rover is a dog who is an animal, an animal who is a dog. His being
     a dog and his being an animal are the same in him, even though
     there are other animals. Similarly, Rover is both a being and a dog:
     there are other beings, but this does not change the fact that
     for him, to be a dog is to be a being, to be a being is to be a
     dog. (John N. Deck, "Metaphysics or Logic?" The New Scholasticism,
     Spring 1989, 232-233)

This passage shows that Deck is thinking of being as a highest genus.  Rover is a dog, an animal, a living thing, a physical thing . . . a  being. On this way of thinking, being is the most general
what-determination. You can arrive at it by climbing the tree of Porphyry to the very top. But if anything is clear, it should be that Being  or existence is not a summum genus  or genus generallisimum as Aristotle pointed out at 998b22  of the Metaphysics. And as Kant pointed out in his famous discussion,  Being or existence is not a reales Praedikat: Being or existence is no part of what a thing is.