'The table is against the wall.' This is a true contingent sentence. How do I know that it is true except by seeing (or otherwise sense perceiving) that the table is against the wall? And what is this seeing if not the seeing of a fact, where a fact is not a true proposition but the truth-maker of a true proposition? This seeing of a fact is not the seeing of a table (by itself), nor of a wall (by itself), nor of the pair of these two physical objects, nor of a relation (by itself). It is the seeing of a table's standing in the relation of being against a wall. It is the seeing of a truth-making fact. (So it seems we must add facts to the categorial inventory.) The relation, however, is not visible, as are the table and the wall. So how can the fact be visible, as it apparently must be if I am to be able to see (literally, with my eyes) that the table is against the wall? That is our problem.
Let 'Rab' symbolize a contingent relational truth about observables such as 'The table is against the wall.' We can then set up the problem as an aporetic pentad:
1. If one knows that Rab, then one knows this by seeing that Rab (or by otherwise sense-perceiving it).
2. To see that Rab is to see a fact.
3. To see a fact is to see all its constituents.
4. The relation R is a constituent of the fact that Rab
5. The relation R is not visible (or otherwise sense-perceivable).
The pentad is inconsistent: the conjunction of any four limbs entails the negation of the remaining one. To solve the problem, then, we must reject one of the propositions. But which one?
(1) is well-nigh undeniable: I sometimes know that the cat is on the mat, and I know that the cat is on the mat by seeing that she is. How else would I know that the cat is on the mat? I could know it on the basis of the testimony of a reliable witness, but then how would the witness know it? Sooner or later there must be an appeal to direct seeing. (5) is also undeniable: I see the cat; I see the mat; but I don't see the relation picked out by 'x is on y.' And it doesn't matter whether whether you assay relations as relation-instances or as universals. Either way, no relation appears to the senses.
Butchvarov denies (2), thereby converting our pentad into an argument against facts, or rather an argument against facts about observable things. (See his "Facts" in Javier Cumpa ed., Studies in the Ontology of Reinhardt Grossmann, Ontos Verlag 2010, pp. 71-93, esp. pp. 84-85.) But if there are no facts about observable things, then it is reasonable to hold that there are no facts at all.
So one solution to our problem is the 'No Fact Theory.' One problem I have with Butchvarov's denial of facts is that (1) seems to entail (2). Now Butch grants (1). (That is a loose way of saying that Butch says things in his "Facts' article that can be reasonably interpreted to mean that if (1) were presented to him, then would grant it.) So why doesn't he grant (2)? In other words, if I can see (with my eyes) that the cat is on the mat, is not that excellent evidence that I am seeing a fact and not just a cat and a mat? If you grant me that I sometimes see that such-and-such, must you not also grant me that I sometimes see facts?
And if there are no facts,then how do we explain the truth of contingently true sentences such as 'The cat is on the mat'? There is more to the truth of this sentence than the sentence that is true. The sentence is not just true; it is true because of something external to it. And what could that be? It can't be the cat by itself, or the mat by itself, or the pair of the two. For the pair would exist if the sentence were false. 'The cat is not on the mat' is about the cat and the mat and requires their existence just as much as 'The cat is on the mat.' The truth-maker, then, must have a proposition-like structure, and the natural candidate is the fact of the cat''s being on the mat. This is a powerful argument for the admission of facts into the categorial inventory.
Another theory arises by denying (3). But this denial is not plausible. If I see the cat and the mat, why can't I see the relation -- assuming that I am seeing a fact and that a fact is composed of its constituents, one of them being a relation? As Butch asks, rhetorically, "If you supposed that the relational fact is visible, but the relation is not, is the relation hidden? Or too small to see?" (85)
A third theory comes of denying (4). One might think to deny that R is a constituent of the fact of a's standing in R to b. But surely this theory is a nonstarter. If there are relational facts, then relations must be constituents of some facts.
Our problem seems to be insoluble. Each limb makes a very strong claim on our acceptance. But they cannot all be true.
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