Predicates and Properties

We are warming up to an examination of deflationary theories of truth according to which truth is either not a property or not a metaphysically substantive property.  (I oppose deflationary theories of truth just as I oppose deflationary theories of existence.) But first some clarification of 'predicate' and 'property.'

1. I begin by resisting the traditional conflation of predicates and properties, a conflation in evidence when we hear a philosopher claim that "existence is not a predicate."  That claim makes no sense unless a predicate is a property.  After all, 'existence,' as an abstract substantive, is not grammattically tuited to occupy predicate position.  If, however, a predicate is a bit of language used to express a property, then the claim should be that " '. . . exists' is not a predicate."  That's in order, as is "Existence is not a property."  As expressing properties, predicates are distinct from properties.  Predicates are linguistic while properties are extralinguistic.

To be a bit more precise, predicates (whether types or tokens) are tied to particular languages whereas the properties they express are not so tied.  Thus schwarz is tied to German in the way black is tied to English, but the property of being black is tied to neither.  Equally, the property of being disyllabic is tied to no one language even though it is a property that only linguistic items can have.  Thus 'Boston' but not Boston is disyllabic.

2. Some of you will question whether there are properties distinct from predicates.  Question away.  But just realize that in order to raise this very question you must first have distinguished predicates and properties.  You must already have made the distinction 'at the level of intension' if not 'at the level of extension.'  For you cannot maintain that there are no properties distinct from predicates unless you understand the term 'property' just as you cannot maintain that there are no unicorns distinct from horses unless you understand the term 'unicorn.'

3. By my lights, you are a very foolish philosopher if you deny properties, but not if you deny universals.  If you deny universals you are merely mistaken.  So let's be clear that 'property' and 'universal' are not to be used interchangeably.  It is a substantive question whether properties are universals or particulars (as trope theorists maintain).  Universals I define as repeatable entities, particulars as unrepeatable entities.

4. The predicate/property distinction under our belts, we need to note three views on their relation.

5. One view is that  no predicate expresses a property.  I rejected this view in #3.  To put it bluntly, there is a real world out there, and the things in it have properties whether or not there are any languages and language-users. Some of our predicates succeed more or less in expressing some of these properties.

6. A second view is that every predicate expresses or denotes a property.  The idea is that for every predicate 'P' there is a property P corresponding to 'P.'  But then, given that 'exists' and 'true' are predicates, it would follow straightaway that existence and truth are properties.  And that seems too easy.  Deflationists, after all, deny for reasons that cannot simply be dismissed that truth is a property.  They cannot be refuted by pointing out that 'true' is a predicate of English.  The following equivalence is undeniable but also not formulable unless 'true'  is a predicate:

'Grass is green' is true iff grass is green.

The deflationist will take an equivalence like this to show that 'true' is a dispensable predicate and therefore one that does not pick out a property.  (On Quine's disquotationalism, for example, 'is true' is a device of disquotation: it merely undoes the semantic ascent displayed on the LHS of the biconditional.)  We should therefore be uneasy about the view that every predicate expresses or denotes a property.  The existence of a predicate does not show the existence of a corresponding property.  A predicate need not predicate a property.  It should not be a matter of terminological fallout that wherever there is a predicate there is a property.

7.  Determined to maintain  that every predicate expresses or denotes a property, a deflationist  could of course hold that existence and truth are properties, but not metaphysically substantive properties.  A deflationist could argue like this:

Every predicate expresses a property

'True' is a predicate

Ergo: Truth is a property, but not a substantive one.

But he could also argue like this:

Every genuine predicate expresses a substantive property

Truth is not a substantive property

Ergo: 'True' is not a genuine predicate.

8.  A third view about the predicate-property relation has it that some predicates pick out properties and some don't.  I suggest this is how we should use 'predicate.'  It then becomes a matter of investigation, not of terminology, whether or not there is a property for a given predicate.

Deflationism: Ramsey and Redundancy

I am using 'deflationism' as an umbrella term subsuming several different deflationary theories of truth, among them Ramsey's redundancy theory, Quine's disquotationalism, Horwich's minimalist theory, and others. Deflationary theories contrast with what might be called 'robust' or substantive' theories of truth. It is not easy to focus the issue that divides these two types of theory. One way to get a feel for the issue is by considering the traditional-sounding question, What is the nature of truth? This 'Platonic' question — compare What is the nature of knowledge? (Theaetetus); What is the nature of justice? (Republic) — presupposes that truth has a nature, a nature that can be analyzed or otherwise explicated in terms of correspondence, or coherence, or 'what conduces to human flourishing,' or what would be accepted at the Peircean limit of inquiry, or something else. 

The deflationist questions the presupposition. He suspects that truth has no nature. He suspects that there is no one property that all truths have, a property the having of which constitutes them as truths. His project is to try to account for our truth-talk in ways that do not commit us to truth's having a nature, or to truth's being a genuine property. Of course, we English speakers have and use the word 'true.'  But the mere fact that we have and use the predicate 'true' does not suffice to show that there is a property corresponding to the predicate. (Exercise for the reader: find predicates to which no properties correspond.)

So if we can analyze our various uses of 'true' in ways that do not commit us to a property of truth, then we will have succeeded in deflating the topic of truth and showing it to be metaphysically insubstantial or 'lightweight.' The most radical approach would be one that tries to dispense with the predicate 'true' by showing that everything we say with its help can be said without its help (and without the help of any obvious synonym such as 'correct.') The idea here is not merely that truth is not a genuine property, but that 'true' is not even a genuine predicate.

Consider two assertions. I first assert that snow is white, and then I assert that it is true that snow is white. The two assertions have the same content. They convey the same meaning to the audience. This suggests that the sentential operator  'It is true that ___' adds nothing to the content of what is asserted. And the same goes for the predicate '___ is true.' Whether we think of 'true' as an operator or as a predicate, it seems redundant, or logically superfluous. In "Facts and Propositions" (1927), Frank Ramsey sketches a redundancy or logical superfluity theory of truth. This may be the first such theory in the Anglosphere. (Is there an historian in the house?)

For Ramsey, "there really is no separate problem of truth but merely a linguistic muddle." Ramsey tells us that ". . . 'It is true that Caesar was murdered' means no more than that Caesar was murdered, and 'It is false that Caesar was murdered' means that Caesar was not murdered." (F. P. Ramsey, Philosophical Papers, Cambridge UP, 1990, ed. D. H. Mellor, p. 38) But what about a case in which a proposition is not explicitly given, but is merely described, as in 'He is always right'? In this example, 'right' has the sense of 'true.' 'He is always' right means that whatever he asserts is true. As a means of getting rid of 'true' in this sort of case, Ramsey suggests:

1. For all p, if he asserts p, then p is true.

But since "the propositional function p is true is the same as p, as e.g., its value 'Caesar was murdered is true' is the same as 'Caesar was murdered,'" Ramsey thinks he can move from (1) to

2. For all p, if he asserts p, then p.

If the move to (2) is kosher, then 'true' will have been eliminated. Unfortunately, (2) is unintelligible. To see this, try to apply Universal Instantiation to (2). If the variable 'p' ranges over sentences, we get

3. If he asserts 'Snow is white,' then 'Snow is white.'

This is nonsense, because "'Snow is white'" in both occurrences is a name, whence it follows that the consequent of the conditional is not a proposition, as it must be if the conditional is to be well-formed. If, on the other hand, the variable 'p' is taken to range over propositions, then we get the same result:

4. If he asserts the proposition that snow is white, then the proposition that snow is white

which is also nonsense. Unless I am missing something, it looks as if Ramsey's redundancy theory cannot succeed in eliminating 'true.' It looks as if 'true' is an indispensable predicate, and thus a genuine predicate. This does not, however, show that truth is a genuine property.   It merely shows that we cannot get rid of 'true.'

Five Grades of Self-Referential Inconsistency: Towards a Taxonomy

Some sentences, whether or not they are about other things, are about themselves. They refer to themselves. Hence we say they are 'self-referential.' The phenomenon of sentential self-referentiality is sometimes benign. One example is 'This sentence is true.' Another  is 'Every proposition is either true or false.' Of interest here are the more or less malignant forms of self-reference. One example is the so-called Liar sentence:

1. This sentence is false.

If (1) is true, then it is false, and if false, then true. This is an example of an antinomy. In pursuit of a taxonomy, we might call this Grade I of self-referential inconsistency. Grade I, then, is the class
of self-referentially inconsistent sentences that issue in antinomies.

There are other self-referential sentences that are not antinomies, but imply their own necessary falsehood. These are such that, if true, then false, and if false, then false, and are therefore necessarily false. For example,

2. All generalizations are false.

If (2) is true, then, since (2) is itself a generalization, (2) is false. But its falsity does not imply its truth. So, if false, then false. Assuming Bivalence, it follows that (2) is necessarily false, whence it follows that its negation — Some generalizations are true  – is necessarily true, and moreover an instance of itself. A second example might be

3. There are no truths.

If (3) is true, then it is false. And if false, then false. So, (3) is necessarily false, whence it follows that its negation — There are truths — is necessarily true.

Examples (2) and (3) belong to Grade II in my tentative taxonomy. These are self-referential sentences that entail their own necessary falsehood. Grade III comprises those self-referential sentences that are such that if true, then neither true nor false, and if false, then false. For example,

4. There are no truth-bearers.

If (4) is true, then, since (4) is a truth-bearer, (4) is neither true nor false. But if false, then false. If we define the cognitively meaningful as that which is either true or false, then (4) is either cognitively meaningless or false. A more interesting example that seems to belong in Grade III is the Verifiability Principle of the Logical Positivists:

5. Every cognitively meaningful sentence is either analytic or empirically verifiable in principle.

If (5) is supposed to be cognitively (as opposed to emotionally) meaningful, and thus not a mere linguistic recommendation or pure stipulation, then it applies to itself. So if (5) is true, then (5) —
which is clearly neither analytic nor verifiable — is meaningless. So, if true, then meaningless, and if false, then false. Therefore, either meaningless or false. Not good!

Grade IV comprises those self-referential sentences that can be described as self-vitiating (self-weakening) though they are not strictly self-refuting. For example,

6. All truths are relative.

If (6) is true, then (6) is relative, i.e., relatively true. It is not the case that if (6) is true, then (6) is false. So (6) is not self-refuting. Nevertheless, (6) is self-vitiating in that it relativizes and thus weakens itself: if true, it cannot be absolutely true; it can only be relatively true. It is therefore a mistake, one often made, to say that he who affirms (6) contradicts himself.  He does not.  He would contradict himself only if he maintained that it is nonrelatively true that all truths are relative.  But no sophisticated relativist would say such a thing.  Other examples which seem to fall into the category of the self-vitiating:

7. Every statement is subject to revision. (Quine)
8. Every theory reflects class interests. (Marxism)
9. All theory is ideology. (Marxism)
10. Nothing can be known.
11. Nothing is known.
12. Nothing is certain.
13. All truth is historical.
14. All is opinion.

What is wrong with self-vitiating propositions? What does their weakness consist in? Consider (8). If (8) is true, then the theory that every theory reflects class interests itself reflects class interests. Suppose (8) reflects the class interests of the proletariat. Then what is that to me, who am not a proletarian? What is it to anyone who is not a proletarian? If (8) is true only for you and those with your interests, and your interests are not my interests, then I have been given no reason to modify my views.  The trouble with (7)-(14) and their ilk is that they make a claim on our rational attention, on our common rational interest, while undercutting that very claim.

It seems we need a fifth category. The sentences of Grade V are such that, if they are true then they are, not false, and not self-vitiating, but non-assertible. Consider

15. No statement is negative.

(15) applies to itself and so at first appears to refute itself: if (15) is true, then it is false. And if false, then false; hence necessarily false. But consider a possible world W in which God destroys all negative statements and makes it impossible for anyone to make a negative statement. In W, (15) is true, but non-assertible. (15) does not prove itself to be false; it proves itself to be non-assertible.

Can the same said of

16. All is empty (Buddhism)?

I think not, for reasons supplied here.

Finally, we consider

17. All memory reports are deceptive.

This is subject to the retort that one who asserts (17) must rely on memory, and so must presuppose the reliability of the faculty whose reliability he questions by asserting (17). For if anyone is to be in a position responsibly to affirm (17), to affirm it with a chance of its being true, he must remember that on some occasions he has misremembered. He must remember and remember correctly that some of his memories were merely apparent. It seems obvious, then, that the truth of (17) is inconsistent with its correctly being affirmed as true. If true, it is unaffirmable as true. But this is different from saying that (17), if true, is false. Although (17) is unaffirmable or non-assertible if true, it seems that (17) could be true nonetheless.

The Ambiguity of ‘Verify’

There are sentences the uttering of which falsifies them, and sentences the uttering of which verifies them. An example of the former is 'I am not talking now.' The act of uttering this sentence falsifies it. By contrast, the act of uttering 'I am talking now' verifies it.  If to falsify is to make false, then to verify is to make true.

But 'verify' (from L. veritas, truth) is ambiguous, and clarity will be served if we distinguish its two senses, one epistemological, the other ontological.

In the epistemological sense, to verify a claim is to ascertain whether or not it is true. In its ontological sense, to verify is to make true. My saying 'I am now talking' makes true the proposition expressed by the sentence; it is not part of any ascertaining of the truth of the proposition expressed. The utterance-event is the truth-maker of the proposition in question. It is the ontic ground of the proposition's truth.  There is, therefore, a clear sense in which the truthmaker of a truthbearer is its verifier.

The Truth Operator and the Truth Predicate

This is an addendum to our earlier discussion which I hope will advance it a step or two.  We heard Alan Rhoda claim that the following sentence is false: 'If nothing exists, then it is true that nothing exists.'  Let's think further about this.  We first note that 'If nothing exists, then it is true that nothing exists' can be parsed in two ways:

1. If nothing exists, then it is true that (nothing exists).

2. If nothing exists, then it is true (that nothing exists).

Call (1) the operator construal.  'It is true that ( )' is a sentential operator the operand of which is a sentence.  The result of the operation is itself a sentence.  If the operand is true, then the resulting sentence  is true.  If the operand is false, then the resulting sentence is false. Please note that prefixing 'It is true that' to a sentence cannot change the truth-value of the sentence.  In this respect, the truth operator 'It is true that ( )' is unlike the negation operator 'It is not the case that ( ).'  Assuming Bivalence — as I have been doing throughout — if you negate a true sentence you get a false one, and vice versa.

Call (2) the predicate construal.  The consequent of (2) is of course a sentence, but it is not the result or product of a sentential operator operating upon a sentence. For what is within the parentheses is not a sentence.  'That nothing exists' is not a sentence.  It does not have a truth-value.  If I assertively utter it I do not convey a complete thought to my audience.  'That nothing exists' is the name of a proposition.  It follows that 'it is true' in the consequent of (2) functions as a predicate as one can more clearly see from the equivalent

3.  If nothing exists, then that nothing exists is true.

In (2) and (3)  a predicate is attached to a name, whereas in (1) this is not the case: a sentential operator is attached to a sentence.

Not only are the parsings different, the ontological commitments are as well.  (2) commits us to propositions while (1) doesn't.  And (1) seems to commit us to operators while (2) doesn't. 

Here is the place to comment on my asterisks convention.  Putting asterisks around a declarative sentence forms a name of the proposition expressed by the sentence.  'The Moon is uninhabited' is a declarative sentence.  '*The Moon is uninhabited*' is not a sentence but a name.  It names an entity that has a truth-value, but it itself does not have a truth-value.  (2) and (3) can also be rendered as

4. If nothing exists, then *Nothing exists* is true.

With the operator/predicate distinction under our belts we may be in a position to see how one philosopher (Alan)  could reasonably reject 'If nothing exists, then it is true that nothing exists' while another accepts it.  The one philosopher gives the original sentence the predicate construal which is committed to propositions.  This philosopher then reasons that, if nothing exists, then no propositions exist either, and are therefore not available to instantiate the property of being true.  The other philosopher gives the original sentence the operator construal and finds it impossible to understand how anyone could reject the original sentence so construed.  This philosopher insists that if nothing exists, then it is true that nothing exists; that this truth is not nothing, and that therefore it is something, which implies that it cannot be the case that nothing exists.

 

A Counterexample to P –> It is True that P?

Alan Rhoda e-mails:

In a recent post you write:
 
The objector is inviting us to consider the possible situation in which beings like us do not exist and no truths either.  The claim that this situation is possible, however, is equivalent to the claim that it is true that this situation is possible.
 
I think there's a mistake here. In general, p does not entail it is true that p. The envisioned scenario is a case in point. The sense in which the situation is admitted to be possible is purely negative in that absent truths, no contradiction results. To say, however, that it is true that the situation is possible, where truths are supposed to depend on cognizers, requires that the situation be possible in a positive sense, i.e., it requires that something be the case, not merely that contradictions not be the case.

Thanks, Alan.  Let's rehearse the dialectic.  I argued in a standard self-referential way that *There are truths* is not just true, but necessarily true.  (For *There are no truths,* if true is false, and if false is false, hence is necessarily false, so its negation is necessarily true.)  I then asked whether the necessity of its truth is unconditional or rests on a condition such as the existence of thinking beings. (In other words: is the necessity of truth merely a transcendental presupposition without which we cannot operate as thinking beings, or is the necessity of there being truths metaphysically grounded in rerum natura?)  If the existence of truths is merely a transcendental presupposition, then it would seem that the following scenario is possible:  there are no thinking beings and no truths either.  If this scenario is possible, then the necessity of *There are truths* would be conditional.  I then tried to show that the scenario is not possible by invoking the principle Necessarily, for any p, p –> it is true that p.  My thought was that if it is possible that there be no thinking beings and no truths either, then it is true that this is possible.  But if it is true that this is possible, then it is true independently of what anyone thinks. But then truth as something more than a transcendental presupposition is being presupposed.

I am afraid I don't understand your criticism of the reasoning.  The principle p –> it is true that p strikes me as self-evident.  Its 'intellectual luminosity,' if you will, will trump any putative counterexample.  If snow is white, then it is true that snow is white; if grass is green, then it is true that grass is green; if it is possible that no thinkers and no truths exist, then it is true that it is possible that no truths and no thnkers exist.  Now the point is that this last truth says how things are in a situation in which no thinkers exist; therefore it is a truth that cannot exist only if thinkers exist.  It exists whether or not thinkers exist. 

You write, "The sense in which the situation is admitted to be possible is purely negative in that absent truths, no contradiction results."  I don't follow you.  The situation is possible assuming that truth is a mere transcendental presupposition.  Now suppose the possibility is actual.  Then it will be true both that it is possible and that it is actual.  So once again truth cannot be a mere transcendental presupposition.

You then say, " To say, however, that it is true that the situation is possible, where truths are supposed to depend on cognizers, requires that the situation be possible in a positive sense, i.e., it requires that something be the case, not merely that contradictions not be the case." But I am not claiming that truths are dependent on cognizers; I am refuting that view.  If the existence of truths depends on cognizers, and cognizers exist contingently, then it is possible that there be no truths.  But this is not possible since if, per impossibile, it were the case that there are no truths, then this  would be the case, i.e., would be true.

The ComBox is open if you want to discuss this further.

The Truthmaker Theory of Predication and Divine Simplicity

In this post I first try to get clear about the truthmaker theory of predication proposed by Michael Bergmann and Jeffrey E. Brower in their A Theistic Argument Against Platonism.  I then try to understand how it solves a certain problem in the doctrine of divine simplicity (DDS). Finally, I raise a question about the authors' solution.

The truthmaker theory of predication is a rival to the following theory of predication which, with a little inaccuracy, we can label 'Platonistic' so as to have a handy label:


P: The truth of all true predications, or at least of all true predications of the form "a is F", is to be explained in terms of a subject and an exemplifiable (however exemplifiables are themselves to be conceived). (p. 7)

This post will not address the authors' impressive theistic argument  against P.  For present purposes we can assume that it is sound the better to evaluate the alternative which  Bergmann and Brower put  as follows:



P*: The truth of all 

true predications, or at least of all true predications of the form "a is F", is to be explained in terms of truthmakers. (p. 25)

To appreciate how the two theories differ, consider the proposition expressed by the true essential predication, 'God is divine.'  The Platonistic theory explains the truth of this proposition in terms of the subject God and the exemplifiable, the property of being divine.  The proposition is true because the subject exemplifies the property.  By contrast, the truthmaker theory of predication explains the proposition's truth in terms of its truthmaker.  Three questions:  What is a truthmaker?  What is the truthmaker of the proposition *God is divine*?  What exactly is the difference between P and P*? The authors offer the following as a "partial analysis" of the notion of a truthmaker:

TM: If an entity E is a truthmaker for a predication P, then 'E exists' entails the truth expressed by P. (p. 22)

From TM and the fact that 'God is divine' is an essential predication it can be inferred that the truthmaker of this truth is God himself.  For 'God exists' entails the truth expressed by 'God is divine.'  This is because there is no possible world in which God exists and the proposition in question is not true.  Thus God himself suffices as truthmaker for 'God is divine,' and there is no need for an exemplifiable entity or a concrete state of affairs (the subject's exemplifying of the exemplifiable entity.) This allows us to appreciate the difference between the Platonistic and the truthmaker theories of predication.  The first, but not the second, requires that the explanation of a truth's being true invoke a subject and an exemplifiable.  On the truthmaker theory it is not the case that every predication is such that its explanation requires the positing of a subject and an exemplifiable.  The subjects of all essential predications of the form a is F suffice as truthmakers of the propositions expressed by these predications.

In the case of such accidental predications as 'Tom is tired,' the truthmaker cannot be Tom by himself, as the authors appreciate. (p. 26)  Neither Tom nor Tom's existence nor *Tom exists* necessitates the truth of 'Tom is tired.'  On one approach, the truthmaker of true accidental predications is a concrete state of affairs.  On another, the truthmaker is a trope.  I think it follows that P is a special case of P*.  I don't find the authors stating this but it seems to be a clear implication of what they do say.  According to the truthmaker theory of predication, the truth of every true affirmative monadic predication, whether essential or accidental, is explained by a truthmaker, an entity which can belong to any ontological category.  The Platonistic theory is the special case in which the truthmaker either is or involves an exemplifiable.  (A special case of this is the case in which the truthmaker is a concrete state of affairs.)  The truthmaker theory is more general because it allows for truthmakers that neither are nor involve exemplifiables.

Application to Divine Simplicity

One of the entailments of the doctrine of divine simplicity (DDS) is that there is no distinction between God and his attributes.  Thus God is (identical to) his goodness, his power, etc.  We have discussed the motivation for this doctrine in earlier posts.  But how could an individual be identical to its attributes or properties? If God is identical to one of his properties, such as the property of being divine, then it follows that he is a property or exemplifiable — which is absurd.  It is absurd because God is a person and persons are not exemplifiable entities.  But if the truthmaker theory of predication is correct, then there is a way to make coherent sense of the notion that God is identical to his nature, goodness, power, wisdom, and other such attributes.

Consider 'God is his omnipotence.'  If the abstract singular term 'God's omnipotence' is taken to refer to a property, then we get the unacceptable consequence that God is identical to a property.  Proponents of the truthmaker theory of predication, however, can maintain that the referents of abstract singular terms are truthmakers.  Accordingly, 'God's omnipotence'  and 'God's divinity' refer respectively to the truthmakers of 'God is omnipotent' and 'God is divine' respectively.  Because both of these predications are essential, the truthmaker of both is God himself.  To say that God is identical to his omnipotence is to say that the referent of 'God' is identical to the referent of 'God's omnipotence.'  And that amounts to the unproblematic claim that God is identical to God.

A Question

The authors have shown us a way to demonstrate the coherence of 'God is identical to his divinity'  assuming we are prepared to accept P* and TM.   But I wonder whether their demonstration 'proves too much.'  Consider the parallel but presumably incoherent  'Socrates is identical to his humanity.'  We now must ask whether the strategy that works in the case of God also works in the case of Socrates.  If it does, then the radical difference between God and creature, which is part of the motivation for DDS, will not have been  properly accommodated.

The authors will grant that Socrates is truthmaker enough for (the propositions expressed by) all essential predications about him.  Thus Socrates himself makes true 'Socrates is human' by TM.  Because they hold P* they will grant that no exemplifiable need  be invoked to explain 'Socrates is human.'  We needn't say that this is true because Socrates exemplifies the property of being human; we can say that it is true because 'Socrates' and 'Socrates humanity' have the same referent, namely Socrates. But then does it not follow that Socrates is ontologically simple, at least in respect of such essential predicates as 'human,' 'rational,' and the like?  Does it not follow that Socrates is identical to his humanity, his rationality, animality, etc.?  Rhetorical questions aside, I am arguing as follows:

a. Socrates  is the truthmaker of 'Socrates is human' and like essential predications.  (From TM)

b. Socrates is the referent of both 'Socrates' and 'Socrates' humanity.' (From P*)  Therefore:

c. Socrates is identical to Socrates' humanity. (From b) 

But we surely do not want to say that Socrates is identical to his humanity, rationality, etc.  which would imply that his humanity, rationality,etc. are identical to one another.  Socrates, unlike God, is a metaphysically composite being.  So something appears to have gone wrong.  The Bergmann-Brower approach appears to 'prove too much.'  Their approach seems to imply what is false, namely, that both God and Socrates are ontologically simple  in respect of their essential attributes.

Truthmaking and the Ontological Assay of Concrete Individuals

Could a concrete individual such as my man Peter function as the truthmaker of an accidental predication about him such as *Peter is hungry*?  Or must the truthmaker of such a truth be an entity with a proposition-like structure such as a concrete state of affairs or a trope?  Earlier posts have assumed and sometimes argued that Peter himself cannot make true any true accidental predications about him.  Alan Rhoda appears to disagree in a comment to an earlier post: "Unlike you, I don't find it 'obvious' that Peter cannot be the truthmaker of *Peter is hungry*. Or, rather, it's obvious if 'Peter' denotes a bare or thin particular . . . ."

So we need to take a few more steps into the truthmaking  problematic.  Whether or not Peter can function as the truthmaker of accidental predications about him depends on our 'ontological assay' (as Gustav Bergmann might have put it) of ordinary spatiotemporal particulars such as Peter. 

1.  I begin on an irenic note by granting to Alan that if 'Peter' denotes a bare or thin particular, then it is obvious that Peter cannot make true any accidental predications about him.  But 'Peter' in our sample sentence does not denote a bare or thin particular; it denotes  Peter 'clothed' in his intrinsic (nonrelational) properties, whether accidental or essential.

2.  I now argue that even if we take Peter together with his properties he cannot be the truthmaker of *Peter is hungry,* *Peter is sunburned,* etc.  It is widely agreed that if T makes true *p,* then *T exists* entails **p* is true.**  (As before, asterisks around an indicative sentence form a name of the Fregean proposition expressed by the sentence.) Truthmaking is a form of broadly logical necessitation.  So if Peter by himself is the truthmaker of *Peter is sunburned,* then in every possible world in which Peter exists, the proposition will be true.  But surely this proposition is not true in every world in which Peter exists:  being sunburned is an accidental property of Peter.  Therefore, Peter by himself is not the truthmaker of such accidental propositions as *Peter is sunburned.*

3.  So even if we take Peter together with all his intrinsic properties, he still cannot function as truthmaker of *Peter is sunburned,* etc. He cannot, because there are possible worlds in which Peter exists, but *Peter is F* (where 'F' picks out an accidental property) is false.  But what if we 'assay' Peter as a concrete state of affairs (not to be confused with a Chisholmian-Plantingian abstract state of affairs) along the lines of a Bergmannian or Armstrongian ontology?  Take the conjunction of all of Peter's intrinsic properties and call that conjunction K.  What is left over is the individuating element in Peter, call it a.  We can then think of Peter as the state of affairs or fact of a's being K. Included within this maximal state of affairs are various submaximal states of affairs such as a's being F, where 'F' picks out an accidental property.  We can then say that Peter, as a concrete maximal state of affairs which includes the submaximal state of affairs of Peter's being sunburned, is the truthmaker of *Peter is sunburned.*

This, indeed, is my 'official' line, the line I took in my book on existence.  For reasons I can't go into now, I assayed ordinary particulars are concrete states of affairs.  But many philosophers will balk at this.  Barry Miller, for instance, if I rightly recall, told me that it is a category mistake to think of ordinary particulars as states of affairs.  I see his point, but it is hardly compelling.  Be that as it may, I have been assuming in these posts on truthmaking that ordinary particulars are not states of affairs.

And so I say to Alan Rhoda, if ordinary particulars are not concrete states of affairs, then such particulars, by themselves, cannot function as truthmakers for accidental predications about them.  The reason was given above in #2.  Only if an ordinary particular or concrete individual has a proposition-like structure, only if it is a concrete state of affairs or something like one, can it function as truthmaker of accidental predications about it.

4.  To sum up.  Rhoda and I agree that bare or thin particulars cannot serve as truthmakers for accidental predications.  And it may be that we are also in agreement if he goes along with the Bergmannian-Armstrongian ontological assay of ordinary spatiotemporal particulars as concrete states of affairs.  But I do disagree with him if he thinks that ordinary particulars, not so assayed, can function as truthmakers of accidental predications.

In Support of the Intuition That Truths Need an Ontological Ground

That truth has something to do with correspondence to extralinguistic and extramental fact is a deeply entrenched intuition. One could call it the classical intuition about truth inasmuch as one can find formulations of it in Plato and Aristotle. When suppressed, it has a way of reasserting itself. Sent packing through the front  door, it returns through the back. Herewith, two brief demonstrations that this is so.

A. Truth as Idealized Rational Acceptability

One way of suppressing the classical intuition is by offering an epistemic definition of 'true.' One attempts to explicate truth in terms of mental states. Thus someone might suggest that a proposition is true just in case it is believed or accepted by someone. But this won't do, since there are truths that are not accepted by anyone. So one proposes that a proposition is true just when it is acceptable. This proposal, too, is defective inasmuch as what is acceptable to one person will not be acceptable to another. This defect can perhaps be handled by identifying truth with rational acceptability. But what it is rational to accept at one time or in one place may be different from what it is rational to accept at another time or in another  place. Much of what we find rationally acceptable would not have been found rationally acceptable by the ancient Greeks. (For example, that the same physics holds both for terrestrial and for celestial bodies.) So one advances to the notion that truth is rational acceptability at the ideal limit of inquiry. One can trace this notion back to C. S. Peirce. In Reason, Truth, and History, Hilary Putnam presents a version of it. Let's consider the theory in the following form:

1. *P* is true =df *p* would be accepted in cognitively ideal conditions.

Now we know that

2. Cognitive conditions are not ideal.

From (2) it follows via the trivial equivalence principle *p* is true iff p that

3. *Cognitive conditions are not ideal* is true.

It follows from (3) via (1) that

4. *Cognitive conditions are not ideal* would be accepted in cognitively ideal conditions.

But (4) is self-contradictory, whence it follows that

5. The definition of truth in terms of acceptability in cognitively ideal conditions is incorrect.

What I take this argument to show is that the notion of truth as correspondence to the way things are is primary and irreducible. For surely (2) is true. But its being true cannot be explicated in terms of what anyone would accept or assert under ideal epistemic  conditions. Therefore, (2) is true in a sense more basic than the  sense spelled out in (1).

This supports the 'truthmaker intuition':  some if not all truths require truthmakers.  Truths do not 'hang in the air.'  What is actually true cannot depend on what some merely possible subject would accept at the ideal limit of inquiry.

 B. Truth as Coherence

 We get a similar result if we try to construe truth as coherence.   Suppose

 6. P is true =df p would be accepted by a person whose set of beliefs is maximally consistent and coherent.

 But we know that

 7. No one's set of beliefs is maximally consistent and coherent.

 From (7) it follows via the above equivalence principle that

 8. No one's set of beliefs is maximally consistent and coherent is
  true.

 It follows from (8) via (6) that

 9. No one's set of beliefs is maximally consistent and coherent would  be accepted by a person whose set of beliefs is maximally consistent  and coherent.

 But (9) is self-contradictory, so

 10. (6) is incorrect.

Could a Concrete Individual be a Truthmaker?

Could a concrete individual such as the man Peter function as a truthmaker?  Peter Lupu and I both find this idea highly counterintuitive.  And yet many contemporary writers on truth and truthmaking have no problem with it.  They have no problem with the notion that essential predications about x are made true by x itself, for any x.  Assume that the primary truthbearers are Fregean propositions and consider the Fregean proposition *Peter is human.*  (Asterisks around a declarative sentence form a name of the Fregean proposition expressed by the sentence.)  Being human is an essential property of Peter: it is a property he has in every possible world in which he exists.  It follows that there is no world in which Peter exists and *Peter is human* is not true.  Hence Peter himself logically suffices for the truth of *Peter is human.*  Similarly for every essential  predication involving our man.  Why then balk at the notion that a concrete individual can serve as a truthmaker?

Here is an argument in support of balking:

1. Every asymmetric relation is irreflexive.  (Provable within first-order predicate logic.  Exercise for the reader: prove it!)

2. Truthmaking is an asymmetric relation.  If  T makes true *p*, then  *p* does not make true T.

3. Truthmaking is irreflexive. (From 1, 2)

4. Whatever makes true a proposition admitting of existential generalization also makes true the proposition which is its existential  generalization.  For example, if Peter makes true *Peter is human,* then Peter makes true the existential generalization *There are humans.* And if *Peter is human* makes true **Peter is human* is a proposition,* then *Peter is human* makes true *There are propositions.*  (It is a universally accepted axiom of truthmaking that one and the same truthmaker can make true more than one truthbearer. Truthmaking is not a one-to-one relation.)

5.  If a concrete individual, by itself and in virtue of its mere existence, can make a true an essential predication about it, then an entity of any ontological category can, by itself and in virtue of its mere existence, make true an essential predication about it.  And conversely.  For example, if Peter makes true *Peter is human,* then *Peter is human* makes true **Peter is human* is a proposition* and also **Peter is human* is an abstract object,* etc.  And conversely: if *Peter is human* makes true **Peter is human* is a proposition,* then Peter makes true *Peter is human.*

6. *There are propositions* is essentially a proposition.

7. A concrete individual, by itself and in virtue of its mere existence, can make true an essential predication about it.

8. *There are propositions* is made true by *Peter is human* and indeed by any proposition, including *There are propositions.*   (From 4, 5, 6, 7.  To spell it out:  Peter makes true *Peter is human* by 7; *Peter is human* makes true **Peter is human* is a proposition* by 5 and 6.  *There are propositions* is the existential generalization of **Peter is human* is a proposition.* *Peter is human* makes true *There are propositions* by 4.  *Peter is human,*, however, can be replaced by any proposition in this reasoning.  Therefore, *There are propositions* is made true by any proposition including  *There are propositions.*

9. *There are propositions* has itself as one of its truthmakers. (From 8)

10. It is not the case that truthmaking is irreflexive.  (From 9.  Note that when we say of a relation that it has a property such as symmetry or irreflexivity, we mean that that has this property essentially.)

11. (10) contradicts (3).

12. One of the premises is false. (From 11)

13. The only premises that are even remotely controvertible are (2) and (7). 

14. (2), which affirms the asymmetry of truthmaking, cannot be reasonably denied.  Why not?  Well, the whole point of truthmaking is to provide a metohysical, not empirical, explanation of the truth of truthbearers.  Explanation, however, is asymmetric by its very nature: if x explains y, then y does not explain x. 

15. (7) is false: it it not the case that a concrete individual, by itself, can serve as a truthmaker. 

Credit where credit is due:  The above is my attempt to put into a rigorous form some remarks of Marian David which point up the tension between the asymmetry of truthmaking and the notion that concrete individuals, by themselves, can serve as the truthmakers for essential predications about them.  See his essay "Truth-making and Correspondence" in Truth and Truth-Making, eds. Lowe and Rami. McGill 2009, 137-157, esp. 152-154.

Why not be a Nominalist?

0. This post is a sequel to Truthmaker Maximalism Questioned.

1. On one acceptation of the term, a nominalist is one who holds that everything that exists is a concrete  individual.  Nominalists accordingly eschew such categories of entity as: universals, whether transcendent or immanent, Fregean propositions, Castaneda's ontological operators, mathematical sets, tropes (abstract particulars, perfect particulars), and concrete states of affairs.  Nominalists of course accept that there are declarative sentences and that some of them are true.  Consider the true

1. Peter is hungry.

Nominalists cheerfully admit that the proper name 'Peter' denotes something external to language and mind, a particular man, which we can call the 'ontological correlate' of the subject term.  But, ever wary of "multiplying entities beyond necessity," nominalists fight shy of admitting an ontological correlate of  'hungry,' let alone a correlate of  'is.'   And yet, given that (1) is true, 'hungry' is true of Peter.  (In a simple case like this, the predicate is true of  the the referent of the subject term iff the sentence is true.) Now philosophers like me are wont to ask:  In virtue of what is 'hungry' true of Peter?  Since 'hungry' applies to Peter in the way in which 'leprous,' 'anorexic,' and other predicates do not, I find it reasonable to put the same question as follows:  What is the ontological ground of the correct application of 'hungry' to Peter?

2. In answering this question I introduce two posits that will enrage the nominalist and offend against his ontologcal parsimoniousness.   First of all, we need an o-correlate of 'hungry.' I admit of course that 'hungry' in our sample sentence functions differently than 'Peter.'  The latter is a name, the former is what Frege calls a concept-word (Begriffswort).  Nevertheless, there must be something in reality that corresponds to 'hungry,' and whatever it is it cannot be identical to Peter.  Why not?  Well, Peter, unlike my cat, is not hungry at every time at which he exists; and for every time t in the actual world at which  he is hungry, there is some possible world in which he is not hungry at t.  Therefore, Peter cannot be identical to the o-correlate of 'hungry.' 

We are back to our old friend (absolute numerical) identity which is an equivalence relation (reflexive, symmetrical, transitive) governed by the Indiscernibility of Identicals and the Necessity of Identity.

3. But why do we need an o-correlate of 'hungry' at all?  I asked: in virtue of what is 'hungry' true of Peter?  One sort of nominalist, the 'ostrich nominalist,' will say that there is nothing in virtue of which 'hungry' is true of Peter.  For him is is just a 'brute fact,' i.e., an inexplicable datum, that 'hungry' correctly applies to Peter.  There is no need of an ontological ground of the correctness of this application.  There is no room for a special philosophical explanation of why 'hungry' is true of Peter.  It just applies to him, and that's the end of the matter.  The ostrich nominalist of course grants that Peter's being hungry can be explained 'horizontally' in terms of antecedent and circumambient empirical causes; what he denies is that there is need for some further 'philosophical' or 'metaphysical' or 'ontological' explanation of the truth of 'Peter is hungry.'

If a nominalist says that 'hungry' is true of Peter because Peter is hungry, then I say he moves in a circle of embarrasingly short diameter.  What we want to understand are the ontological commitments involved in the true sentence, 'Peter is hungry.'  We need more than Peter.  We need something that grounds the correctness of the application of 'hungry' to him.  To say that 'hungry' is true of Peter because Peter is hungry presupposes what we are trying to understand.  Apart from this diversionary tactic, the ostrich nominalist is back to saying that there is nothing extralingusitic that grounds the correct application of 'hungry' to Peter.  He is denying the possibility of any metaphysical explanation here.  He is saying that it is just a brute fact that 'hungry' applies to Peter.

4.  As for my second posit, I would urge that introducing an o-correlate for 'hungry' such as a universal tiredness does not suffice to account for the truth of the sample sentence.  And this for the simple reason that Peter and tiredness could both exist withough Peter being tired.  What we need is a concrete state of affairs, an entity which, though it has Peter and tiredness as constituents, is distinct from each and from the mereological sum of the two. 

5.  Now one can argue plausibly against both posits.  And it must be admitted that both posits give rise to conundra that cast doubt on them.  But what is the alternative?  Faced with a problem, the ostrich sticks his head in the sand.  Out of sight, out of mind.  Similarly. the ostrich nominalist simply ignores the problem.  Or am I being unfair?

Perhaps the issue comes down to this:  Must we accept the truth of sentences like (1) as a 'brute fact,' i.e. as something insusceptible of explanation (apart, of course, from causal explanation), OR is there the possibility of a philosophical account?

6. Finally, it is worth nothing that the nominalist blunders badly  if he says that Peter is hungry in virtue of 'hungry''s applying  to him.  For that is a metaphysical theory and an absurd one to boot: it makes Peter's being hungry depend on the existence of the English predicate 'hungry.'  To avoid an incoherent, Goodmanaical, linguistic idealism, the nominalist should give no metaphysical explanation and be content to say it is just a brute fact that Peter is hungry.

Truthmaker Maximalism Questioned

IMG_0677 For Peter Lupu discussions with whom helped me clarify my thoughts on this topic.

0. What David Armstrong calls Truthmaker Maximalism is the thesis that every truth has a truthmaker.  Although I find the basic truthmaker intuition well-nigh irresistible, I have difficulty with the notion that every truth has a truthmaker.  Thus I question Truthmaker Maximalism.

1.  Compare *Peter is tired* and *Every concretum is self-identical.*  I will argue that propositions like the first have truthmakers while propositions like the second do not.  (A declarative sentence enclosed in asterisks names the Fregean proposition expressed by the sentence.  I will assume that the primary truthbearers are Fregean propositions.  By definition, a truth is a true truthbearer.) 

2. Intuitively, the first truth is in need of something external to it that 'makes' it true or determines it to be true, or serves as the ontological ground of its truth.  By 'external to it,' I don't just mean that the truthmaker of a truth must be distinct from it:  this condition is satisfied by a distinct proposition that entails it.  What I mean is that the truthmaker must be both distinct from the truthbearer and not, like the truthbearer, a 'representational entity' where the latter term covers such items as sentences, contents of judgments, and Fregean propositions (the senses of context-free sentences in the indicative mood.)  In other words, a truthmaker of a first-order truth such as *Peter is tired* must be outside the sphere of representations: it must be extralinguistic, extramental, and extra-propositional.  Truthmakers, then, are 'in the world' in one sense of 'world.'  They are ontological grounds of truth.  Thus the truthmakers of propositions like *Peter is tired* cannot belong to the category of propositions.  The ontological ground of such a proposition cannot be an entity within the sphere of propositions.

Continue reading “Truthmaker Maximalism Questioned”

Troubles With Truthmaking: The Truthmaker and Veritas Sequitur Esse Principles

Some recent attempts (by G. Oppy, J. Brower, A. Pruss and perhaps others) at making sense of the doctrine of divine simplicity (DDS) have invoked the truthmaker principle (TMP).  I made heavy use of TMP in my A Paradigm Theory of Existence  (Kluwer 2002), though not in defense of DDS. Being a self-critical sort, I am now re-examining the case for TMP.  Note that acceptance of TMP does not straightaway commit one to acceptance of any particular category of entity as truthmakers such as concrete states of affairs.  One could accept TMP and hold that truthmakers are tropes.  And there are other possibilities. So before we can address the truthmaker defense of DDS we must (i) argue for TMP and then (ii) decide on what can and cannot function as truthmakers.  In this post I consider some of what can be said for and against truthmaking in general. It looks like we might be in for a long series of posts on this fascinating but difficult topic.

Continue reading “Troubles With Truthmaking: The Truthmaker and Veritas Sequitur Esse Principles”

Divine Simplicity and Truthmakers: Notes on Brower

1. One of the entailments of the doctrine of divine simplicity (DDS) is that God is identical to: God's omniscience, God's omnipotence, and in general God's X-ness, where 'X' ranges over the divine attributes.  And it is easy to see that if God = God's F-ness, and God = God's G-ness, then (by transitivity of identity) God's F-ness = God's G-ness.  I suggest that we use 'divine attribute' to refer to those properties of God that are both essential and intrinsic.  The problem, of course, is to make sense of these identities given the fact that, prima facie, they do not make sense.  The pattern is the same as with Trinity and Incarnation.  These doctrines imply identities which, on the face of it, beggar understanding.  It thus falls to the philosopher of religion to try to render coherent that which, on the face of it, is incoherent.

2. One of the questions that arise when we try to make sense of DDS concerns which category of entity such phrases as 'God's omniscience' pick out.  One possibility is that such phrases pick out properties, whether universal (multiply exemplifiable) properties or particular (not multiply exemplifiable) properties, also known as tropes. But this leads to trouble as Brower points out.  For if God is identical either to omniscience or to his omniscience, then God is identical to a property — which sounds absurd: how can God, a person, be a property?  Properties are predicable entities, but God is an individual and so not predicable.  Properties are exemplifiable entities (whether multiply or non-multiply); but God is an individual and so not exemplifiable.  Properties are abstract (causally inert)  whereas God is concrete (causally active/passive).  No property is a person, but God is a person.  No property creates or knows or loves.  These are some hastily sketched reasons for thinking that God cannot be identical to his properties.

3. Jeffrey E. Brower forwards an interesting proposal.  He suggests that such phrases as 'God's nature,' 'God's goodness' and 'God's power' refer to "entities of a broadly functional type — namely, truthmakers." (Simplicity and Aseity, sec. 2)  The idea is that 'God's omniscience' refers to the trruthmaker of 'God is omniscient' or perhaps to the truthmaker of the proposition expressed by 'God is omniscient.'  If (Fregean) propositions are the primary truthbearers, then (tokenings of) declarative sentences that express such propositions can be said to be secondary truthbearers.  I trust that it is clear that truthbearers and truthmakers are not to be confused.  One key difference is that while some truthbearers are are false, no truthmaker is false.  Truth and falsity are properties of certain representations (propositions, declarative sentences, beliefs, judgments, etc.)  whereas truthmakers are the ontological grounds of some true truthbearers.  If I understand Brower's view, it is not only that truthmakers are neither true nor false — every TM theorist will hold this — but also that truthmakers are not at all proposition-like.  By contrast, I follow D. M. Arstrong in holding that truthmakers must have a proposition-like structure.  But more on this in a moment.

4. Roughly, a truthmaker is whatever plays a certain role or performs a certain function; it is whatever makes true a true truthbearer.  The 'truthmaker intuition' — which I share with Brower — is that a sentence such as 'Tom is blogging' cannot just be true; there is need of some worldly entity to 'make' it true, to serve as the ontological ground of its truth, to 'verify' it in an ontological, not epistemological, sense of this term.  To say that some or all truthbearers need truthmakers is not yet to specify which sort of entity plays the truthmaker role.  Among philosophers who accept the need for truthmakers there is disagreement about the ontological category to which they belong. 

 Brower says rather incautiously that the functional characterization of truthmakers "places no restriction on the specific nature or ontological category to which a truthmaker can belong." (sec 2.1)  That can't be right.  Surely there are some restrictions.  For one thing, a truthmaker cannot be a Fregean proposition for the simple reason that such items are among the items made true by truthmakers.  And the same goes for declarative sentences, beliefs, and judgments.  My belief that the cat is asleep is either true or false and as such is a truthbearer.  It is in need of a truthmaker but is not itself one.  Of course, the fact of my believing that the cat is asleep can serve as truthmaker for the sentence ' BV now believes that the cat is asleep'  if concrete facts are admitted as truthmakers – but that is something else again.  So not just anything can be a truthmaker.  Charitably interpreted, what Brower is telling us is that TM theorists are allowed some ontological latitude when it comes to specifying which category of entity is fit to play the truthmaker role. 

5. Let us note that if a true Fregean proposition p entails a Fregean proposition q, then one could say that the first 'makes true' the second.  And so one could speak of the first as a 'truthmaker' of the second.  But this is not what is meant  by 'truthmaking' in these discussions despite the fact that p broadly logically necessitates q.   What is intended is a relation of broadly logical necessitation that connects a nonpropositional entity (but on some theories a proposition-like entity) to a propositional entity, or more precisely, to an entity that can serves as the bearer or vehicle of a truth-value.  As I see it, the entailment relation and the truthmaking relation are species of broadly logical necessitation; but truthmaking is not entailment.  Entailment will never get you 'outside the circle of propositions'; but that is exactly what truthmaking is supposed to do.  A truthmaker is an ontological, not propositional or representational truth-ground.  Philosophers who are attracted to truthmakers typically have a realist sense that certain of our representations need to be anchored in reality.

Brower sees it a little differently.  He would agree with me that entailment and truthmaking cannot be identical, but he thinks of it as "a form of broadly logical necessitation or entailment" and says that entailment is necessary but not sufficient for truthmaking. (Sec. 2.1)  So Brower seems to be maintaining that while there is more to truthmaking than entailment, every truthmaker entails the truth it makes true.  But this makes little or no sense.  Entailment is a relation defined on propositions.  If x entails y, then you can be sure that x and y are propositions or at least proposition-like entities, whether these be sentences or judgments or beliefs or even concrete states of affairs such as the fact of (not the fact thatPeter's being tired, which concrete fact contains Peter himself as constituent, warts and all.  But for Brower, as we will see in a moment, concrete individuals such as Socrates, entities that are neither propositions nor proposition-like, can serve as truthmakers.  As far as I can see, it makes no sense to say that Socrates entails a proposition.  It makes no sense because entailment is defined in terms of truth, and no individual can be true or false.  To say that p entails q is to say that it is impossible that p be true and q false.  Since it makes no sense to say of an individual that it is true, it makes no sense to say of an individual that it entails a proposition.  So truthmaking cannot be a type or species of entailment if individuals are truthmakers.

6.  But setting aside for the moment the above worry, if it makes sense to say that God is the truthmaker of 'God is omniscient,' and if 'God's omniscience' refers to this truthmaker, then it will be clear how God can be identical to God's omniscience.  For then 'God is identical to his omniscience' is no more problematic than 'God is God.' It will also be clear how God's omniscience can be identical to God's omnipotence. 

7.  But can it really be this easy to show that DDS is coherent? Although I agree with Brower that some truthbearers need truthmakers, I don't see how truthmakers could be ontologically structureless individuals or 'blobs' as opposed to 'layer-cakes' in Armstrong's terminology.  By 'ontologically structureless' I mean lacking in propositional or proposition-like structure.  Consider the following true intrinsic essential predicative sentences: 'Socrates is human,' 'Socrates is an animal,' Socrates is a material object,' 'Socrates exists,' and 'Socrates is self-identical.'  (It is not obvious that 'Socrates exists' is an essential predication inasmuch as Socrates exists contingently, but let's not enter into this thorny thicket just now.)

Brower's claim is that in each of these cases (which parallel the true intrinsic essential predications of divine attributes) the truthmaker is the concrete individual Socrates himself.  Thus Socrates is the truthmaker of 'Socrates is human' just as God is the truthmaker of 'God is omniscient.'  Unfortunately, no individual lacking propositional or proposition-like structure can serve as a truthmaker as I argued in #5 above.  Just as it makes no sense to say that Socrates is true, it makes no sense to say that Socrates entails the proposition expressed by 'Socrates is human.' 

There is more to say, but tomorrow's another day.  Time to punch the clock.

Three Senses of ‘Fact’

Facts Ed Feser has a very useful post which clears up some unfortunately common confusions with respect to talk about facts and opinions.  I agree with what he says but would like to add a nuance.  Feser distinguishes two senses of 'fact,' one metaphysical (I prefer the term 'ontological') the other epistemological:

Fact (1): an objective state of affairs
Fact (2): a state of affairs known via conclusive arguments, airtight evidence, etc.
 
I suggest that we distinguish within the metaphysical Fact(1) between facts-that, which are true propositions, and facts-of, which are worldly states of affairs that function as the truth-makers of true propositions.  If I say that table salt is NaCl, what I say is a fact in the epistemological sense of being something known to be the case, but it is also a fact in two further senses.  Uttering 'Table salt is NaCl' I express a true proposition.  (I take a Fregean line on propositions: they are the senses of context-free declarative sentences.) Clearly, the proposition expressed by my utterance is true whether or not anyone knows it.  So this is an ontological use of 'fact.'  But it is arguable that (contingent) propositions, which are truth-bearers, have need of truth-makers.  Truth-makers are plausibly taken to be worldly (concrete) states of affairs.  (Not to be confused with the abstract states of affairs of Chisholm and Plantinga.)  Thus the proposition expressed by 'Table salt is NaCl' is made-true by the concrete state of affairs, the fact-of, table salt's being sodium chloride.
 
One way to see the difference between a proposition, a truth-bearer,  and its truth-maker is by noting that Tom himself, all 200 lbs of him, is not a constituent of the Fregean proposition expressed by 'Tom is tired,' whereas Tom himself is a constituent of the fact-of Tom' s being tired.  More fundamentally, if you have realist intuitions, it should seem self-evident that a true proposition cannot just be true; it is in need of an ontological ground of its truth.  It is true that my desk is littered with books, but this truth (true proposition) doesn''t hang in the air so to speak, it is grounded in a truth-making fact involving concrete books and a desk.
 
Many, many questions can be raised about truth-bearers, truth-makers, and so on, but all that comes later.  For now, the point is merely to sketch a prima facie three-fold distinction that one ought to be aware of even if, later down the theoretical road one decides that facts-that can be identified with facts-of, or that a conflation of  facts in the epistemological sense with facts-that can be justified, or whatever.  Such theoretical identifications and conflations presuppose for their very sense such preliminary prima facie distinctions as I have just made.