(Hauled up from the vasty deeps of the ComBox into the light of day by BV who supplies minor edits and comments in blue.)
I strongly recommend to everyone interested in the subject to read Anderson’s “In defense of mystery: a reply to Dale Tuggy” (2005), Religious Studies, 41, 145-163 in which he replies to Dale Tuggy’s paper “The unfinished business of Trinitarian theorizing”, Religious Studies, 39(2003), 165-183. I was unable to obtain Dale Tuggy’s original paper.
Part I
Let us distinguish between the surface-structure (SST) of a sentence and its deep-structure (DST) [Chomskian in spirit if not in letter]. A sentence may have several DSTs. The DST of a sentence is obtained from the SST by replacing one or more equivocal terms in the original sentence with terms that express a single sense of each such original term. We can now distinguish between what Anderson calls “apparent-and-real” contradictions vs. “apparent-but-not-real” contradictions or “merely apparent contradictions” (MAC).
[So it is declarative sentences, not the (Fregean) propositions they are used to express, that are the prmary bearers of contradictoriness and its opposite? And if so, then sentence-types or -tokens?]
A case of an apparent-and-real contradiction will be a case where the SST of a sentence exhibits the logical form of an (explicit) contradiction and it has no DST which fails to exhibit the logical form of a contradiction. A MAC, by contrast, is a case where a sentence P satisfies the following conditions:
(i) The SST of P exhibits the logical form of a contradiction;
(ii) We are in the position to replace in P all the equivocal terms with suitable unambiguous counterparts that express a single sense of the original terms and thereby produce a DST of P;
(iii) P has at least one contradiction free DST.
Conditions (i)-(iii) are typically satisfied in the order in which they are presented above. We first recognize that the SST of a given sentence exhibits the logical form of a contradiction. Then we identify equivocation in one or more terms. Next we introduce the pertinent terms which express a single suitable sense of the original terms and replace the equivocal terms with the unequivocal ones. We then examine whether the resulting DST is contradiction free. If it is, then the original sentence is a MAC: it is a merely apparent contradiction. Notice that according to the present procedure we first construct an actual DST and only then do we conclude that there exists a contradiction free DST for the sentence in question. Let us call this the *constructivist method* of confirming that condition (iii) is satisfied.
A MACRUE is just like a MAC with the following crucial difference: conditions (i) and (iii) of a MAC are satisfied, but condition (ii) is not: i.e., even though we clearly recognize that the SST of the sentence exhibits the logical form of a contradiction and we acknowledge that we are not currently and perhaps never will be in the position to produce a contradiction free DST, nevertheless we affirm that the sentence has at least one DST which does not exhibit the logical form of a contradiction. Anderson maintains that the conjunction of the relevant sentences of the Trinitarian doctrine is a case of a MACRUE.
How are MACRUEs possible? How can we recognize that the SST of P exhibits the logical form of a contradiction and also acknowledge that we are not in the position to effect the required disambiguation, yet affirm that P nonetheless has a contradiction free DST? After all, one might protest, the way we know that a contradiction free DST exists for a particular sentence whose SST exhibits the logical form of a contradiction is by recognizing equivocation in some terms, identifying the various senses involved, making the suitable replacements and then constructing an actual contradiction free DST. In other words, can we establish that condition (iii) is satisfied without utilizing the constructivist method? Isn’t the constructivist method necessary in order to be warranted to affirm the existence of a contradiction free DST for the sentence under scrutiny?
Anderson proposes an ingenious way of bypassing the constructivist method in establishing the existence of a contradiction free DST for MACRUE’s. This argument is similar in certain ways to familiar indirect proofs. Let us look at the conjunction of the pertinent Trinitarian sentences (TS).
The SST of TS exhibits the logical form of a contradiction. Hence, TS satisfies requirement (i) above. Now, suppose that TS does not have a contradiction free DST. Then by the above definition of an apparent-and-real contradiction, TS is really contradictory. Hence, TS is necessarily false. But TS is also a *revelation* and on account of being a revelation it must be true. But we cannot have it that TS is both necessarily true and necessarily false. Therefore, the assumption that TS does not have a contradiction free DST must be false. Hence, it follows that TS must have at least one contradiction free DST, even if we are not in the position now or ever to actually produce this contradiction free DST. Hence, we have shown that condition (iii) above must be satisfied for TS without satisfying condition (ii). Thus, MACRUEs are possible and the Trinitarian doctrine may just be one such a case. Let us call this procedure the *non-constructivist method* of confirming that condition (iii) is satisfied.
Now, Anderson does hope that TS will eventually be converted from a MACRUE to a MAC by coming up with the right constructivist method of producing a suitable contradiction free DST for TS. Nevertheless, Anderson maintains that it is rational to believe TS while it is still a MACRUE and, moreover, it would be rational to do so even if TS remains a MACRUE forever [in this life] on strength of the non-constructivist method described above.
Part II
1) Let us first examine Anderson’s version of the indirect proof stated above. Anderson’s indirect proof appears to follow the standard procedure of indirect proofs whereby one introduces into the argument an auxiliary premise which has been proved independently of the proposition currently under scrutiny. Since the auxiliary premise has an independent proof that does not depend upon the truth of the proposition under current scrutiny, it enjoys our confidence that it is true and, hence, can be used in an argument that aims to prove the truth of the proposition under scrutiny.
1.1) Upon closer examination, however, the auxiliary premise introduced in Anderson’s version of the indirect proof is that TS is a revelation. The trouble is that the proposition that TS is a revelation is intimately linked to the question of whether or not TS has a contradiction free DST. For if we suppose that TS does not have a contradiction free DST, then TS cannot be a revelation. [Right] Anderson says,
If the Bible is indeed inspired by God, and if the Holy Spirit can induce in a person’s mind a firm conviction that this is so, then Christians can be warranted in believing both direct biblical claims and also whatever follows from those claims ‘by good and necessary consequence’ (as the Westminster Confession puts it). In favourable circumstances, those beliefs may be warranted to a high degree. (Anderson, 2005, p. 154).
1.2) But is the case of TS a “favourable” circumstance? I submit that it is not. For the fact that the SST of TS exhibits the logical form of a contradiction and the fact that we fail to produce a contradiction free DST for TS by means of the constructive method together combine into a situation where it is very unfavourable for anyone to believe that TS is inspired by God. At the least these facts present strong rational grounds to withhold judgment about both whether TS has a contradiction free DST and whether TS could be a revelation. As noted above, the two questions are so intimately linked that one is not justified to rely by fiat upon one in order to derive the truth of the other.
The Lupu and the Anderson argument appear to cancel each other out, as follows.
LUPU: Whatever God reveals is true and thus contradiction-free. We have no good reason to consider the Trinity doctrine contradiction-free since we do not have available to us a contradiction-free disambiguation of it. Therefore, we have no good reason to consider the Trinity doctrine a bit of genuine divine revelation.
ANDERSON: Whatever God reveals is true and contradiction-free. We have good reason to consider the Trinity doctrine a bit of genuine divine revelation. Therefore, we have good reason to consider the Trinity doctrine contradiction-free despite the fact that no contradiction-free disambiguation of it is available to us in this life.
As they say in the trade, "One man's Modus Ponens is another man's Modus Tollens."
2) Let us now consider the extreme case; i.e., the case where we will never be able to produce by means of a constructivist method a contradiction free DST for TS. In such cases we are imagining that our language permanently lacks the conceptual resources to remove equivocation and produce a contradiction free DST. In my main post I called such a case *hyper-inscrutable*. Anderson is willing to admit that TS may be a hyper-inscrutable MACRUE. But can there really be hyper-inscrutable MACRUEs and if so, how would we ever know whether a particular case is a case of a hyper-inscrutable MACRUE or a case of apparent-and-real contradiction?
2.1) Anderson provides several examples to convince us that there indeed can be cases of hyper-inscrutable MACRUEs. But when all is said and done, none of these examples are cases of hyper-inscrutable MACRUEs: in fact all such examples turn out to be MACs or alternatively cases of temporary MACRUE’s in the sense that we are able to discern the equivocation and construct a contradiction free DST. (One should verify the claims I made in this segment by reading the referenced paper by Anderson)
2.2) Of course, it may not be possible to produce a genuine case of a hyper-inscrutable MACRUE. After all such a case by its very nature excludes the constructivist method of producing a contradiction free DST for some sentence and so it must rely exclusively upon an indirect method. But, as we have seen above, the indirect or non-constructivist method must rely upon producing an independently proved auxiliary premise and derive from it the conclusion that a contradiction free DST exists. However, it is difficult to see how an auxiliary premise satisfying the independence condition can be produced in the cases we are considering.
2.3) Anderson attempts to soften us to the possibility that TS could be viewed as an example of a hyper-inscrutable MACRUE and, hence, as inherently mysterious to us by appealing to the cognitive distance between God’s mental capabilities compared to our own. While God undoubtedly grasps the nuanced metaphysical distinctions required in order to uncover a contradiction free DST for TS, we may not be in a position to do so due to our linguistic and cognitive limitations. In the end, we may have to be content with the mere knowledge that TS admits some contradiction free DST, even though we may never be able to produce such a DST.
2.4) I deny that it is warranted to maintain that we *know* that there is some contradiction free DST for TS although we cannot articulate its precise character. For any evidence that might be invoked on behalf of such a claim is just as tainted as is the fact that the SST of TS exhibits the logical form of a contradiction. Appealing to the authority of scripture provides evidence only if it is rationally acceptable to hold that God revealed himself to us by means of the Bible: i.e., that the Bible is a revelation. But how can one rationally accept that God revealed himself to us when the narrative by means of which this revelation is communicated is threatened by a contradiction? Consider the following two hypotheses:
H1: The Bible is God’s revelation.
H2: The Bible is not God’s revelation.
Now consider the following facts: the Bible entails a sentence TS the SST of which exhibits the logical form of a contradiction and we will never be able to construct a version (or a DST) of TS which fails to exhibit the form of a contradiction. Thus, for all we know, some sentences in the Bible must be false. How do we know that the sentences which are false are not precisely the ones that are deemed revelations? Surely, these facts support H2 over H1. I now ask: What independent and untainted facts support H1?
Even if we assume that the Bible communicates to us some revealed truths, how do we know that the Trinity doctrine is one of them given that it is apparently contradictory? Peter's challenge here is a very powerful one. That God exists and reveals himself in the Bible is not a good reason to accept as revealed a doctrine that appears contradictory and that we cannot show to be noncontradictory. Or will Anderson argue that everything in the Bible is revealed? But that can't be since there is plenty of rubbish in the Old Testament that cannot possibly be counted as divine revelation. For example, there is an OT passage in which the ratio of circumference to diameter in a circle is said to be 3 to 1, which is false.
Part III
I certainly understand the notion that if a theist God exists and it features some of the properties typically associated with such a being, then this God is going to be superior to us in many respects. For instance, we will never be able to create a universe such as this one both because we will never have the extensive knowledge required in order to produce such an enormous undertaking and because we will never possess the power to do so. What I fail to understand, and I suspect I will never be able to bring myself to understand, is this: when it comes to the most important questions, questions that touch upon the very fabric of the human condition, questions which invite us to embark upon a journey which will bring us closer here and now to a theist God, just at this juncture we are told that the answers to these questions are beyond our intellectual capacities, capacities that were presumably endowed in us by this very theist God. It is as if we are told that God created us in his own image only to deprive us from seeing the contours of this very image. What is, then, this image?
Anderson compares his position to the response that some theist philosophers (he uses the term ‘Christian’, but I assume he will accept the broader term ‘theist’) use regarding the problem of evil. Indeed, a very fitting comparison. This response, aptly called the Unknown (unknowable?) Purpose Defense (UPD) [I got this term from my friend Mike Valle], is simply that what appears from our standpoint as gratuitous evil, is from God’s point of view evil allowed for a higher purpose. The problem is that we simply cannot comprehend these higher purposes in the name of which God allegedly allows evils in the world because (once again) of the vast cognitive gap that exists between our understanding and God’s own.
Just like I do not accept (nor really understand) the motivation behind Anderson’s view regarding TS, similarly I cannot accept UPD as an adequate defense against the evidential problem of evil (or any other version of the problem, for that matter). I cannot discuss this matter extensively here, since this post turned out to be much longer than I originally intended and too long to be tolerated by even the most charitable reader. However, I will say a few words nonetheless.
But first a word of caution: I do not intend to imply that what I am about to say is a view Anderson explicitly endorses or would do so if asked. Rather I wish to contrast in rather broad terms two different pictures of the relationship between God and us. I believe that both the Unknown Purpose Defense and Anderson’s Trinitarian Mysterianism perhaps unwittingly align themselves with a picture of this relationship we ought to, in my view, emphatically reject.
There are two pictures of the relationship between a theistic God and us. The first picture depicts this relationship along the model of a master-and-slave. The master commands and the role of the slave is to obey; the master knows why, how, and for what purpose, whereas the proper role of the slave is to follow blindly; the master demands complete loyalty, the slave must provide it without any questions; the slave misbehaves, the master punishes; the slave obeys, the master rewards. This picture has a long history and it begins with the traditional interpretation of the Biblical narrative of Adam and Eve and the so-called “original sin”. This interpretation of the Adam and Eve narrative had an enormous influence upon the Western world and it is all wrong.
[Peter and I disagree about this, but it's a long story.]
The second picture of the relationship between God and us and the one I prefer is modeled on the relationship between a mentor and a student. The mentor offers the student guidance, imparts upon the student all that the mentor knows, and then sends the student out into the world in order to use this knowledge to make a beneficial contribution to the world. A noble, dignified, and benevolent mentor does not demand blind obedience nor does such a mentor deprive the student from knowledge he or she has so as to preserve some kind of a superficial superiority over the student.
I am an atheist who has enormous respect for religion and for theists who struggle to understand a transcendental reality of a divine character they sincerely believe exists. The fact that I do not share their belief in the existence of such a reality does not prevent me from joining my theist friends in this endeavor to the best of my abilities. I want to know the truth and I do not hesitate to seek it even in places alien to my own beliefs, for the truth may reveal itself in unexpected places. However, I will never be able to accept that the Biblical tradition calls for a master-and-slave relationship between God and us. Instead, I believe that the Biblical narrative envisions a relationship between God and us to be the one modeled after the mentor and student. I believe a case can be made on behalf of this later model; at least I hope it can be for the sake of all of us.
[Bravo, Peter! A powerful, balanced, statement.]
Leave a Reply to T. Hanson Cancel reply