To save keystrokes, I will use 'sentence' for declarative sentence, and downplay the important distinction between a (declarative) sentence and the proposition it expresses on an occasion of the sentence's use or tokening by a speaker or thinker. Our question, then, concerns the unity of a sentence when the sentence is used to express a complete thought. The question about unity presupposes a certain 'fact,' namely, that a sentence is not the same as the mere list of its parts. A sentence is a list of its constituent symbols, but it is not a mere list. There is a further conceptual ingredient present in the sentence that is not present in the mere list. For example, the sentence
1. Socrates is white
is not the same as the mere list
2. 'Socrates,' 'is,' 'white.'
The argument, then, is this:
If (1) = (2), then (1) and (2) share all properties.
It is not the case that (1) and (2) share all properties.
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It is not the case that (1) = (2).
The major premise is an instance of the Indiscernibility of Identicals, a principle above reproach. The minor premise is true because (1) has the property of being truth-valued while (2) does not. And the form of the argument is Modus Tollens, which we know is valid.
I have just established the fact of the difference between a sentence and a mere list of its components.
The question is now one of explanation: How does the sentence as a whole manage to possess the property of being either true or false given that (i) its constituent symbols lack this property, and (ii) the mere collection of symbols also lacks it. What makes the sentence a unity of its parts as opposed to a mere list, set, or sum of them?
The question at the level of philosophical theory about what constitutes the unity of a sentence/proposition presupposes a datum, namely, that the unity of a proposition is a peculiar unity that cannot be understood in terms of the 'unity' of a mere collection, whether this be an ordered or unordered list or an ordered or unordered set, or a mereological sum. Unfortunately, David Brightly denies what I take to be a datum, a given, a starting point for theorizing:
You haven't really given us a reason for thinking that understanding 'Socrates is white' consists in any more than having the meanings of 'Socrates', 'is', and 'white' simultaneously in mind, which is about as far as my own introspection takes me.
But surely one could have those three meanings before one's mind without having before one's mind the further thought that 'is' connects the other two. To understand 'is' by itself is just to understand the general sense of the copula. But to understand 'Socrates is white' is to understand not merely the general sense of the copulative 'is' but also the copulative 'is' as actually connecting the other two items. There is a distinction between the copulative 'is' and the copulative 'is' as actually copulating!
I am taking for granted the standard distinctions among the various senses of 'is.' There is the existential 'is,' the identitative 'is,' the copulative 'is' and perhaps the veritative 'is.' The topic at present is the copulative 'is.'
Brightly counters:
I think it would be very difficult to have the meaning of 'is' before the mind without the thought that it acts as a connective. Does 'is' have any meaning, apart from conveying tense, beyond its connecting role? In Russian, for example, in the first and second person present tense it is omitted altogether and the English pseudo-sentence 'Socrates white now' conveys the sense equally well.
It is certainly true that one cannot understand the copulative 'is' without understanding it as an actual or potential copula. But the point is that one can understand the copulative 'is' without understanding it as actually connecting two specified terms. Here is an analogy. I can easily understand that a certain cable, which I see for sale in an electronics store, is used to connect digital cameras to computers. This understanding does not require that the cable actually be in use as connecting a specified computer to a specified digital camera. And if the cable were in use connectng camera C to computer K, I could easily understand how that same cable could be used to connect some other camera C* to some other computer K*. Furthermore, supposing that every camera and every computer in the universe to be destroyed, but the cable in question to remain in existence, that cable would not cease to be the cable it is, and have the function it has, in these drastically altered circumstances.
The analogy, then, is this. The cable, hanging on a rack in an electronics store, and not connecting anything to anything, is to the copulative 'is' in general as the cable actually connecting a specified camera to a specified computer is to the copulative 'is' actually connecting a subject term and a predicate term in a sentence. Just as I can understand the function of a cable without seeing it in actual use connecting one device to another, I can understand the copulative 'is' without understanding it as connecting two specified terms.
Therefore, when I bring before my mind the mere list of a sentence's parts, I do not thereby bring before my mind the truth-valued unity of those parts. The sentence is more than the sum of its parts. It is a unity of those parts which makes of them an item that can have a truth-value.
Brightly rightly points out that the grammatical copula is dispensable. Although it is not correct English to say 'Socrates white,' one could say that and manage to convey a complete thought to one's audience. So the grammatical copula 'is' is dispensable, at least in some cases. In Turkish, both of the following are correct:
3. Deniz mavi. (The sea blue.)
4. Deniz mavidir. (The sea is blue.)
What examples like this show is that the grammatical copula is eliminable. (The Turkish example also shows that the grammatical copula need not be an independent or stand-alone word; it can be a suffix.) But these examples do not show that the logical copula is eliminable. Consider a variant of written English in which the grammatical copula is replaced by spatial juxtaposition in a certain order. In such a variant, there would still be a logical copula; it is just that it would be expressed, not by a written sign, but by spatial juxtaposition in a certain order.
It is essential to distinguish grammatical from logical copulae. Appreciating the distinction, we see that the dispensability of the former, assuming it is dispensable, does not show the dispensability of the latter. It is obviously the logical copula with which we are concerned in the question of the unity of the declarative sentence/proposition.
To sum up. What I called a datum above really is a datum. A declarative sentence is not a mere list of its subsentential parts. A sentence has a truth-value, and in the mouth of a speaker, says something about the world. But the individual words, whether taken singly or collectively, do not have a truth-value, nor do they say anything about the world. The 'is' in the sentence 'Socrates is white' does not occur in that sentence in the way 'is' occurs in the corresponding mere list. In the list, 'is' occurs as an isolated element, whereas in the sentence 'is' occurs both as an element and as that which actually connects subject and predicate. It occurs not as a mere potential copula, but as an actually copulating copula.
But this is all preliminary. The real fun starts when we try to work out a theory of what this peculiar unity consists in.
Related Posts (on one page):
- The Unity of the Sentence/Proposition, Again
- Can We Dispense With the Copula?
