Hey Philip,
That was a real "shot-gun" blast of a post. You brought up too many different topics all at once. For me to adequately answer all the points you raised, I need to write a mile long post.
In forums like this, it seems like the best way to have a fruitul discussion is to
narrow down the argument to a single point that is then resolved to the mutual satisfaction of both posters. Agreed?
So I'll just jump to the part with the real meat:
Philip said:
BibleWheel said:
Symmetry in a literary work - especially one the size of the OT - is a strong sign of design.
Do you have a basis for this claim? Statistical theory suggests exactly the opposite. In any structure as complex as the OT, the chance of there not being some local organisation are astronomically small.
Actually, statistical theory shows that the organization of the Old Testament as we have it in the Protestant Bible is
extremely unlikely. There is exactly
one chance in 34,871,760 that a three-level symmetry like what we find in the OT happened by chance.
The math is elementary. Consider a list of 39 objects. How many ways is there to divide them into three groups? The answer is easy to calculate. We need to just drop two "dividers"
^ in the list below.
1 2 3 4
^ 5 6 7 8 ... 35 36
^ 37 38 39
How many ways can we do this? Well, there are 38 slots to drop the first divider, and then there will be 37 slots to drop the second divider. Thus, there are 38 x 37 = 1406 ways to divide the 39 books into three groups. This is basic combinatorics.
And how many of these will show the symmetry like the
17 : 5 : 17 of the OT? That too is easy to calculate. Suppose the first divider is dropped between books n and n+1. To achieve the symmetry, the second divider must be dropped between books 39-n and 39-n+1. This symmetry can be written in terms of "n" as n : 39-2n : n. Since n can range over 1 to 19, we have exactly 19 possible ways to divide the 39 books into three symmetric groups.
So what is the probability that we would find a canon with the top-level symmetry of the OT "by chance"? It is simply the ratio 19/1406 = 1/74. Not too rare really. The top-level symmetry is not by itself proof of design.
But now lets consider the second level of symmetry. We do the same calculation as above, only now we drop in two more dividers.
38 x 37 x 36 x 35 =
1,771,560 ways to divide 39 books into 5 goups.
How many of these will show the
second-level symmetry of the OT? To see this, we need to write it abstactly as follows:
Top-level n : 39-2n : n [OT has n=17 to give 17 : 5 : 17]
Second-level n-m : m : 39-2n : n-m : m [OT has n=17, m=12 to give 5 : 12 : 5 : 5 : 12 ]
Now to achieve a symmetry for all m like the second level of the OT, the size of the first, the third, and the fourth divisions must all the same. In the existing Canon, these groups all have 5 Books. Mathematically, this demands that n-m = 39-2n. This gives a restraint on both m and n:
m = 3n-39, and since 0 < m < n-1, we also have a restriction on n such that 13 < n < 20.
Therefore, second-level symmetry demands a structure that can be represented by a single variable "n" that ranges from 14 to 19:
39-2n:3n-39:39-2n:39-2n:3n-39 with 13<n<20
The are only six solutions that match the constraints. Here they are:
n=14 11:3:11:11:3
n=15 9:6:9:9:6
n=16 7:9:7:7:9
n=17
5:12:5:5:12
n=18 3:15:3:3:15
n=19 1:18:1:1:18
So there are six symmetric solutions out of
1,771,560 possibilities. Thus, there is one chance in 295,260 =6/1,771,560 that this structure would appear by accident. The numbers are starting to look pretty persuasive, and this is only at the second level of symmetry.
But there's another thing to consider before moving on to the third level. I speak of the
self-witness of Scritpure to the meaning of the numbers God used in the design of the Old Testament. How many loaves fed the five thousand?
FIVE. How many baskets left over?
TWELVE. What is the symbolic meaning of
BREAD in the Bible? It is the
WORD OF GOD that feeds the disciples. There is much more to say on this, but now is not the time.
Moving on to the third level of symmetry, we do the same math as above and drop in two more divisions.
38 x 37 x 36 x 35 x 34 x 33 =
1,987,690,320 ways to divide 39 books into 7 goups.
That's about
1.98 BILLION ways to divide 39 books into seven divisions.
How many of these will show the
third-level symmetry of the OT? That's easy. We just look at the six second level solutions listed above, and subdivide the second and fifth divisions. Here is how it looks abstractly:
Top level n:39-2n:n [OT has n=17 to give 17:5:17]
Second level 39-2n:3n-39:39-2n:39-2n:3n-39 [OT has n=17, m=12 to give 5:12:5:5:12]
Third level: 39-2n:3n-39-k:k:39-2n:39-2n:3n-39-k:k [OT has n=17 and k=3 to give 5:9:3:5:5:9:3]
The variable k must range between 0 and 39-2n. Here is a list of all possible solutions:
n=14 11 : 3-k : k : 11 : 11 : 3-k : k 0 < k < 3 = 2 Solutions
n=15 9 : 6-k : k : 9 : 9 : 6-k : k 0 < k < 6 = 5 Solutions
n=16 7 : 9-k : k : 7 : 7 : 9-k : k 0 < k < 9 = 8 Solutions
n=17 5 : 12-k : k : 5 : 5 : 12-k : k 0 < k < 12 = 11 Solutions
n=18 3 : 15-k : k : 3 : 3 : 15-k : k 0 < k < 15 = 14 Solutions
n=19 1 : 18-k : k : 1 : 1 : 18-k : k 0 < k < 18 = 17 Solutions
Summing up the solutions shows the total to be 57. Thus, there are exactly 57 out of 1,987,690,320 possible 39 Book canonical structures that exhibit the same three-level symmetry that we find in the Protestant OT. That is
exactly one chance in 34,871,760.
Or in plain English: That is less than
one chance in 34 MILLION!
No other form of the Christian Canon (RCC, GO, or any other) shows the same evidence of design. So there it is. Either I have made an error in the calculations, which I trust you will point out, or we are beholding a mathematical proof of the Divine Design of the Old Testament Canon.
Richard