Negative Existentials and the Causal Theory of Reference: Notes on Donnellan

Causal theories of reference strike me as hopeless.  Let's see how they fare with the problem of negative existentials.

There are clear cases in which 'exist(s)' functions as a second-level predicate, a predicate of properties or concepts or propositional functions or cognate items, and not as a predicate of individuals. The   affirmative general existential 'Horses exist,' for example, can be understood as making an instantiation claim: 'The concept horse is instantiated.' Accordingly, the sentence does not predicate existence of individual horses; it predicates instantiation of the concept horse.

This sort of analysis is well-nigh mandatory in the case of negative general existentials such as 'Flying horses do not exist.' Here we have a true sentence that cannot possibly be about flying horses for the simple reason that there aren't any. (One can make a move into Meinong's jungle here, but there are good reasons for not going there.) On a reasonable parsing it is about the concept flying horse, and says of this concept that it has no instances.

The same analysis works for negative singular existentials like 'Pegasus does not exist.' Pace Meinong, everything exists. So, given the truth of 'Pegasus does not exist,' 'Pegasus' cannot be taken as naming Pegasus. Since 'Pegasus' has meaning, contributing as it does to the meaning of the true sentence, 'Pegasus does not exist,' and since 'Pegasus' lacks a referent, a natural conclusion to draw is that  the meaning of 'Pegasus' is not exhausted by its reference: it has a sense whether or not it has a referent. So, along Russellian lines, we may analyze 'Pegasus does not exist' as, 'It is not the case that there exists an x such that x is the winged horse of Greek mythology.'   Or we can take a page from Quine and say that nothing pegasizes. What we have done in effect is to treat the singular term 'Pegasus' as a   predicate and read the sentence as a denial that this predicate applies to anything.

In this way the paradox attaching to singular negative existentials is removed. But the Russell-Quine analysis is based on the assumption that names are definite descriptions in disguise (Russell) or else transformable into predicates (Quine). But how does one deal with the problem of negative existentials if one denies the Russell-Quine approach to proper names, holding instead that they refer directly to their nominata, and not via the sense of a definite description or Searlean disjunction of definite descriptions?

Keith Donnellan tackles this problem in "Speaking of Nothing" (reprinted in S. P. Schwarz, ed., Naming, Necessity, and Natural Kinds, Cornell UP, 1977, pp. 216-244).

Consider 'Santa Claus does not exist.' What does a child come to learn when he learns this truth? He does not learn, as a Russellian would have it, that nothing in reality answers to (satisfies) a certain
description; what he learns is that the historical chain leading back from his use of 'Santa Claus' ends in a 'block':

     When the historical explanation of the use of a name (with the
     intention to refer) ends in this way with events that preclude any
     referent being identified, I will call it a "block" in the history.
     In this [Santa Claus] example, the block is the introduction of the
     name into the child's speech via a fiction told to him as reality
     by his parents. (237)

Having defined 'block,' Donnellan supplies a rule for negative existence statements, a rule which he says does not purport to supply the meaning of negative existentials but their truth-conditions:

     If N is a proper name that has been used in predicative statements
     with the intention to refer to some individual, then 'N does not
     exist' is true if and only if the history of those uses ends in a
     block. (239)

'God' would appear to satisfy the antecedent of this conditional, so Donnellan's theory implies that 'God does not exist' is true if and  only if the history of the uses of 'God' ends in a block.

There is something wrong with this theory. If 'God does not exist' is true, then we may ask: what makes it true? What is the truthmaker of this truth? The most natural answer is that extralinguistic reality   makes it true, more precisely, the fact that reality contains nothing that could be referred to as God. There is nothing linguistic about this truthmaker. Of course, if 'God does not exist' is true, then 'God' does not refer to anything, and if 'God' does not refer to anything then the sentence 'God does not exist' is true. But the wholly nonlinguistic fact of God's nonexistence is not identical to the partially linguistic fact of 'God''s not referring to anything.  Why not? Consider the following modal argument:

   1. God's nonexistence, if it obtains, obtains in every possible world.
   2. The fact of 'God''s not referring to anything obtains in only some
   possible worlds. (Because the English language exists in only some
   worlds.)
   Therefore
   3. The two facts are distinct.

The argument just given assumes in its initial premise Anselm's Insight: if God exists, then he necessarily exists, and if he does not, then he is impossible. But I don't need this assumption. I can
argue as follows:

   5. God's nonexistence, if it obtains, obtains in some possible worlds.
   6. Among these possible worlds, some are worlds in which English does
   not exist.
   Therefore
   7. There is at least one world in which neither God nor the English
   language exists, which implies that God's nonexistence in that world
   cannot have as truthmaker any fact involving the name 'God.'

Let me put it another way. If 'God does not exist' is true, then the same fact can be expressed in German: 'Gott existiert nicht.' This is one fact expressible in two different languages. But the fact of
 'God''s not referring to anything is a different fact from the fact of 'Gott''s not referring to anything. The facts are different because they involve different word-types. Therefore, neither fact can be
 identical to the fact of God's nonexistence.

Since the two facts are different, the wholly nonlinguistic fact of God's nonexistence cannot have as a truth-condition the partially linguistic fact of the history of uses of 'God' ending in a block, contrary to what Donnellan says. If one assertively utters 'God does not exist,' and if what one says is true, then extralingustic reality must be a certain way: it must be godless. This godlessness of reality, if it indeed obtains, cannot be tied to the existence of any contingent language like English.

Note that the descriptivist need not fall into Donnellan's trap. When he assertively utters 'God does not exist' he says in effect that all or most of the properties associated with the use of 'God' -- such
properties as omniscience, etc. -- are not instantiated: nothing in extralinguistic reality has them. Since these properties can be viewed as having an objective, extralinguistic existence, the descriptivist needn't tie the existence/nonexistence of God to the existence of any contingent language.

Comments

[Edward the nominalist]

Donnellan says "When the historical explanation of the use of a name (with the intention to refer) ends in this way with events that preclude any referent being identified, I will call it a "block" in the history."

This seems dangerously circular. Why do events preclude any referent being identified? Well, because there isn't a referent at all. And what do we mean by 'there isn't a referent'? Well, we mean that a referent doesn't exist. So, Donnellan explains 'Santa Clause does not exist' in terms of his 'block' definition, which can only be explained by using the word 'exist'.

This is not substantially different from your point. Something has to make the sentence 'Santa Claus does not exist' true. And that is the fact that Santa Claus does not exist.

I think we are agreeing again, as occasionally happens.