Argumentative Circles and their Diameters: More on Presuppositionalism

The day before yesterday, re: presuppositionalism, I wrote:

We need to bear in mind  that arguments have premises and that no argument can prove its own premises. An argument of the form p therefore p is an argument valid in point of logical form in which premise and conclusion are identical, but no one will take an argument of this form as proving that p. Every circular argument of the above form is valid, and some are sound; but none are probative. By that I mean that no such argument constitutes a proof.  That ought to be perfectly obvious.

'Circularity' in respect of arguments is of course a metaphor: no argument is literally a geometrical circle. But it is a useful metaphor and I propose we extend it by speaking of the 'diameter' of a circular argument.  The logical form italicized above -- p therefore p -- has a 'diameter' than which no shorter can be conceived.  Its 'diameter' is zero. If a geometrical circle has a diameter of zero, then it is not a circle but a point.  The diameter of a circular argument of the above form is also a 'point,' figuratively speaking, the point being the one proposition that serves as both premise and conclusion.

A circular argument of zero diameter is said to be 'vicious.' Are there then 'virtuous' or if not positively virtuous then  'non-vicious' circular arguments?  Can one argue in a way that is circular but logically acceptable? Brian Bosse brought up this issue over lunch Sunday as we were discussing my longish entry on presuppositionalism. He may have had John M. Frame in mind.

Presuppositionalists such as Frame take the Word of God as set forth in the Protestant Christian Bible as their "ultimate presupposition." (Five Views on Apologetics, Zondervan 2000, 209) It is their "ultimate criterion of truth." (209)  This commitment of theirs is faith-based:

. . . for Christians, faith governs reasoning just as it governs all other human activities. Reasoning is not in some realm that is neutral between faith and unbelief. There is no such realm, since God's standards apply to all of life. (209)

What causes faith? ". . . God causes faith by his own free grace." (209) What is the rational basis of faith? ". . . the answer is that faith is based on reality, on truth. It is in accord with all the facts of God's universe and all the laws of thought that God has ordained. . . . The faith he gives us agrees with God's own perfect rationality." (209-210)

We want to know what rationally justifies faith in God and in his Word as found in the Bible. We are told that this faith is justified because it is true, agreeing as it does with all of the laws of thought that God has ordained. God himself, as the ultimate source of all things, including rationality, is the ultimate rational justification of our faith in him and his Word.  The reasoning here is plainly circular as Frame admits:

There is a kind of circularity here, but the circularity is not vicious. It sounds circular to say that faith governs reasoning and also that it is based on rationality. It is therefore important to remember that the rationality that serves as the rational basis for faith is God's own rationality. The sequence is: God's rationality -->human faith -->human reasoning. The arrows may be read "is the rational basis for." That sequence is linear, not circular. (210)

Frame's fancy footwork here is unavailing, an exercise in sophistry. He is obviously reasoning in a circle by presupposing the very thing whose existence he wants to prove. But he is loathe to admit that this is what he is doing. So he introduces a bogus distinction between vicious circles and linear circles.  But just as 'linear circle' in geometry is a contradictio in adjecto , so too is 'linear circle' in logic. 

You are either arguing in a circle or you are not. You are either presupposing what you are trying to prove or you are not. You are either begging the question or you are not. You are either committing the formal fallacy of petitio principii (hysteron proteron) or you are not. That is the long and the short of it. One or the other and no weaseling out via some bogus distinction between vicious and non-vicious circular arguments.

What Frame wants is a 'knock-down' (rationally compelling or rationally coercive) argument for the existence of the God of the Protestant Christian Bible interpreted along Calvinist lines.  He thinks he can get what wants by way of a transcendental argument,  one that issues in God "not merely as the conclusion of an argument, but as the one who makes argument possible." (220)  He wants God to play a transcendental role as the ultimate and unconditioned condition of the possibility of all our intellectual operations including reasoning, whether valid or invalid, sound or unsound. (If his God does play the transcendental role, then Frame can say that the arguments of atheists, just insofar as they are arguments, prove the existence of God!) 

Now it must be granted, as I granted to Brian over lunch, that if Frame's God exists, then he does play the transcendental role. The question, however, is whether it can be proven that nothing other than Frame's God could play the transcendental role. It can be proven that there is a transcendental condition of all our intellectual operations. (See my earlier entry.) Where Frame goes wrong is in thinking that from the fact that there is a rationally compelling argument for the existence of a transcendental condition of the possibility of all our intellectual operations (forming concepts, defining terms, making judgments, giving arguments, replying to objections offering hypotheses, etc.) it follows immediately that his God exists beyond the shadow of a rational doubt.  How does he know that his God alone could play the transcendental role? Frame may be taxed with  giving the following invalid argument:

a) If the God of the Protestant Christian Bible exists, then he plays the transcendental role;

b) It is objectively certain that something plays the transcendental role;

ergo

c) It is objectively certain that the God of the Protestant Christian Bible  plays the transcendental role. 

The premises are true, but the conclusion does not follow from them. For it is not objectively certain that nothing other than the God of the Christian Bible could play the transcendental role. This is because no non-transcendental argument -- Frame mentions the "causal argument" -- for the existence of God is rationally compelling. Hence no non-transcendental God argument can assure us that the existence of God is objectively certain. 

Here is another way to see the matter. It is rationally demonstrable that there is a total and unique way things are. (For if you assert that there is no way things are, then you are asserting that the way things are is that there is no way things are.) Now if Frame's God exists, then he is the concrete and personal metaphysical ground of the way things are. But how do we know that Frame's God exists? We cannot simply assume that the transcendental proof of the existence of the way things are is also a proof of Frame's God.  So non-transcendental arguments must be brought into to take us to Frame's God, Frame's "causal argument" for example. But these arguments are none of them rationally compelling. They do not generate objective certainty. So how do we know that something else is not the metaphysical ground of the way things are?

Comments

[trudy vandermolen]

Interesting, but it feels like a dead end. Even if there were "rationally compelling" arguments for the existence of God, would everyone believe or would there still be skeptics?

From Wikipedia, the free encyclopedia

Fides quaerens intellectum, means "faith seeking understanding" or "faith seeking intelligence", is a Latin sentence by Anselm of Canterbury.
Anselm uses this expression for the first time in his Proslogion (I). It articulates the close relationship between faith and human reason.
Anselm of Canterbury states : "Neque enim quaero intelligere ut credam, sed credo ut intelligam"[1] ("I do not seek to understand in order that I may believe, but rather, I believe in order that I may understand").
The sentence represents the theological method stressed by Augustine (354–430) and Anselm of Canterbury (c. 1033 – 1109) in which one begins with faith in God and on the basis of that faith moves on to further understanding of Christian truth.[2]

I don't know if Wikipedia has it totally correct, but the idea is there. There’s just no getting around the impossibility of an argument that will totally satisfy, in spite of much (in my opinion) evidence.

And sorry if the quote doesn’t embed correctly. I’m not savvy with this stuff.