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Stylometric - Synoptic Results


Note: The data used in the analysis below can be found in this Excel spreadsheet, also linked at the bottom of this page. In particular, the correlations are located between rows 37 and 150, and columns HI to LR.

Authorial Profiles

One of the basic assumptions underlying this method of analysis is that different authors (aA, aB, and aC) have natural frequency profiles pA, pB, and pC that are sufficiently different that one can be distinguished from the other. Therefore, it is reasonable to test this assumption before continuing with the rest of the analysis. Because we are testing what copying took place from one synoptic gospel to another, we cannot compare the profiles of the whole of each gospel against each other. Instead, we need to isolate the text unique to each author and compare the profiles of each.

One way of doing this is to compare each author’s sondergut material (HHBC categories 200, 020, and 002 respectively). Alternatively, we can combine all the categories containing words written by just one of the three authors, e.g. c200 + c210 + c211 + c201 (=c2AA), and compare them:

  • p200 – p020 = 0.24              p2AA – pA2A = -0.20
  • p020 – p002 = -0.23             pA2A – pAA2 = -0.34
  • p200 – p002 = 0.13              p2AA – pAA2 = -0.02
These results confirm that there is no significant correlation between the profiles of the words written by any pair of authors, i.e. that the profiles of the three authors are different, and one can be distinguished from another. The differences between the two groups of tests, with the correlations in the second group being more negative than those in the first, are to be expected. This is because the second group includes individual words in one of the synoptics that are not used in parallels in either of the other two.

However, the values do suggest that the differences between the profiles of Mk and Lk are somehow of a different character than between those of the other pair of synoptics. This suggests that the Greek used in Mk is different to that used in Lk, in a way that does not apply to the other synoptic pairings. It may be that, as has been suggested, that this is due to aMk not having Greek as his first language, but whatever the reason, it is the case that Lk contains many systematic language differences from Mk, for example there are around 150 places where Mk has the narrative present while Lk has the past tense. Systematic differences such as this would tend to create a negative correlation between Mk and Lk, such as we see here.

Matthew - Mark

Testing for homogeneity within the categories representing either Mt, Mk, or Lk may provide useful information regarding the order in which the synoptics were written. For example, if Mk was written first then we should expect many of the HHBC categories that contain text from Mk (all those with a ‘2’ in the middle position of their identifier, e.g. 020, 121) to have similar profiles (providing that the whole of Mk was actually written by the same author, who did not just copy from other texts).

Then, if aMt copied or edited some text from Mk, Mt would contain text from two different authors, and would therefore be likely to be less homogenous than Mk. Finally, if aLk copied or edited text from both Mk and Mt, then Lk would be likely to be less homogenous still. Therefore, by comparing the homogeneity of Mt, Mk, and Lk in turn we may be able to determine which of the authors copied or edited from which others.

The HHBC data representing each of Mt, Mk, and Lk is spread across 9 categories, depending on the interaction with the other two synoptics. For example, we can compare those parts of Mt that have no parallels in Mk (c 200 + c201 + c202 = c20X) with those parts that do (c210 + c211 + c212 + c220 + c221 + c222 = c2NX), but also we can compare those parts of Mt that have no parallels in Lk (c2X0) with those that do (c2XN). As a result, we can compare the categories grouped in various different ways to determine how the relationships between the synoptics affect which parts of any one synoptic, which show signs of homogeneity, and which do not.

Homogeneity of Mt vs. Mt-Mk Parallels

The tests in the group below all compare the profiles of categories representing passages in Mt that do not have parallels in Mk (c20X, with ‘sub-divisions’ c20N, etc.) with those that do have parallels in Mk (c2NX, c2NN, etc.). We can perform comparisons using six different combinations of categories in Mt, depending on the existence and content of parallel passages in Lk.

No parallels in Mk

Parallels in Mk

Corr

Passages compared in Mt:

c20X

c2NX

0.12

All of Mt

c20N

c2NN

0.04

Those also in Lk

c20A

c2NA

0.17

Excluding words shared with Lk

c200

c2N0

0.18

Those not in Lk

c201

c2N1

0.21

Where Lk has different words

c202

c2N2

0.10

Words shared with Lk

A similar group of tests can then be used to compare the profiles of the same categories representing passages in Mt that do not have parallels in Mk, with those representing just those words in Mt not used in the parallels in Mk (c21X, c21N, etc.).

No parallels in Mk

Not in Mk parallels

Corr

Passages compared in Mt:

c20X

c21X

-0.15

All of Mt

c20N

c21N

-0.16

Those also in Lk

c20A

c21A

0.09

Excluding words shared with Lk

c200

c210

-0.07

Those not in Lk

c201

c211

0.46

Where Lk has different words

c202

c212

-0.30

Words shared with Lk

We can also compare the profiles of those categories that denote passages in Mt that either have no parallels in Mk, or where the parallels have different words (c2AX, c2AN, etc.), with those where the parallels contain the same words (c22X, c22N, etc.)

Different, or not in Mk

Identical words in Mk

Corr

Passages compared in Mt:

c2AX

c22X

0.17

All of Mt

c2AN

c22N

0.22

Those also in Lk

c2AA

c22A

0.07

Excluding words shared with Lk

c2A0

c220

0.07

Those not in Lk

c2A1

c221

0.33

Where Lk has different words

c2A2

c222

0.21

Words shared with Lk

The above results show that there is no strong correlation in any of these three groups of tests. However, p201 and p211 (respectively, the profiles of the double and triple tradition words only in Mt) do appear to be sufficiently similar (0.46) to be worth investigating further. An examination of a scatter plot of the two profiles shows that several words in these categories have similar below average frequencies in each. As both categories contain words only in Mt, in passages shared with Lk, this suggests that the frequency with which these words appear in both categories has been affected by copying/editing between Mt and Lk.

Overall, there is no evidence here of homogeneity between those passages in Mt with parallels in Mk and those without, i.e. there is no evidence that the passages in Mt that have parallels in Mk came from the same source as the passages in Mt that have no parallels in Mk. More specifically, where Mt and Mk have identical words in parallel passages, there is no evidence that the words originated in Mt.

Homogeneity of Mk vs. Mt-Mk Parallels

The following groups of tests can be considered to be the ‘reverse’ of the previous groups, this time testing for homogeneity in Mk instead of in Mt. The tests in the first two groups below compare the profiles of categories representing passages in Mk that do not have parallels in Mt (c02X, c02N, etc.) with those representing:

  1. Passages in Mk that do have parallels in Mt (cN2X, cN2N, etc.),
  2. Words in passages in Mk that do not exist in the parallel passages in Mt (c2X1, c2N1, etc.).

No parallels in Mt

Parallels in Mt

Corr

Passages compared in Mk:

c02X

cN2X

0.75

All of Mk

c02N

cN2N

0.61

Those also in Lk

c02A

cN2A

0.77

Excluding words shared with Lk

c020

cN20

0.62

Those not in Lk

c021

cN21

0.75

Where Lk has different words

c022

cN22

0.43

Words shared with Lk

These results show that the passages in Mk that have no parallels in Mt have very similar profiles to those passages in Mk that do.

No parallels in Mt

Not in Mt parallels

Corr

Passages compared in Mk:

c02X

c12X

0.70

All of Mk

c02N

c12N

0.65

Those also in Lk

c02A

c12A

0.76

Excluding words shared with Lk

c020

c120

0.59

Those not in Lk

c021

c121

0.80

Where Lk has different words

c022

c122

0.15

Words shared with Lk

These results are very similar to those in the previous group, showing that the passages in Mk that have no parallels in Mt have very similar profiles to just those words in the Mt-Mk parallels that are in Mk but not Mt. These two groups of results are a strong indication that the words common to Mt and Mk originated in Mk.

The only area where categories in Mk show little signs of similarity are where Mk and Lk share identical words (c022 + c122 + c222 = cX22). Further investigation shows that this is primarily because the profile of the Mk-Lk agreements against Mt (p122) is not similar to any other profile, while p022 and p222 are both similar to p220. This could indicate that the words in c122 came from a source outside the synoptics. However, p122 does have negative correlations with a number of other categories, the most significant being with p2AX (All of Mt except for words shared with Mk). This is due in no small measure to AUTON appearing more frequently in c122 than in any other category, while Mt uses AUTON much less.

We can also compare the profiles of categories that denote passages in Mk with either no parallels in Mt, or where the parallels have different words (cA2X, cA2N, etc.), with those that contain the same words (c22X, c22N, etc.)

Different, or not in Mt

Identical words in Mt

Corr

Passages compared in Mk:

cA2X

c22X

0.25

All of Mk

cA2N

c22N

0.15

Those also in Lk

cA2A

c22A

0.37

Excluding words shared with Lk

cA20

c220

0.40

Those not in Lk

cA21

c221

0.39

Where Lk has different words

cA22

c222

0.15

Words shared with Lk

Unlike the two previous groups of tests, here there is much less indication of homogeneity. However, this is in large part due to the fact that cA2X, cA2N, and cA22 all contain c122, and c122 is not similar to any other category, as reported above:

  • cA2X = c022 + c122 + c021 + c121 + c020 + c120
  • cA2N = c022 + c122 + c021 + c121
  • cA22 = c022 + c122
If results containing c122 are excluded we can see that the remaining results do show a consistent homogeneity, although quite not as strong as the earlier ones.

Overall, the above results show a great deal of homogeneity in Mk, but a lack of it in Mt. This is a strong indicator that the passages shared between Mt and Mk originated in Mk. The lack of similarity between p22X and p12X does not affect this indication, but instead just provides information about the choices made by aMt when copying/editing from aMk. The lack of similarity between p122 and the profiles of any other categories (in any of the synoptics) has a similar cause, but in this case it suggests that the sharing of words between Mk and Mt was later affected by the sharing of words between Mk and Lk.

Source of Identical Words in Mt-Mk Parallels

As previously noted, one of the key indicators of directionality is the possible correlation between the profiles of categories containing words common to two of the synoptics and words unique to one or the other. There are four basic tests that can be used to look for ‘authorship’ of words common to any pair of the synoptics (e.g. c2XX in the case of Mt-Mk). However, two of these tests have already been used when testing for homogeneity, leaving just two to test here. Both look for similarity between an author’s sondergut material, and the words he has in common with another author:

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c20X

 

Positive

Negative (different subjects)

c22X

c02X

 

Negative (different subjects)

Positive

There are then six variations on each of the above, depending on the existence and content of any parallels in Lk (X, N, A, 0, 1, 2), giving the following tests:

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c20X

0.30

Positive

Negative (different subjects)

c22N

c20N

0.23

Positive

Negative (different subjects)

c22A

c20A

0.15

Positive

Negative (different subjects)

c220

c200

0.25

Positive

Negative (different subjects)

c221

c201

0.06

Positive

Negative (different subjects)

c222

c202

0.36

Positive

Negative (different subjects)


Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c02X

0.44

Negative (different subjects)

Positive

c22N

c02N

0.25

Negative (different subjects)

Positive

c22A

c02A

0.44

Negative (different subjects)

Positive

c220

c020

0.42

Negative (different subjects)

Positive

c221

c021

0.37

Negative (different subjects)

Positive

c222

c022

0.40

Negative (different subjects)

Positive

As previously noted, if whatever copying/editing took place included selectively choosing or replacing many individual words (rather than complete sentences), then the profile of the words common to any two of the synoptics may not have a strong correlation with the profile of the words in passages unique to one or the other, and that may be the case here.

Although the differences between the results of these two groups of tests are not great, what differences there are suggest that it is more likely that Mk was first, i.e. that the words common to both Mt and Mk came from Mk. The differences between these two groups of results are greatest for c221, i.e. triple tradition words common to Mt and Mk but not Lk (difference = 0.37 – 0.06 = 0.31).

Editing Choices in Mt-Mk Parallels

The following tests can only provide limited (if any) information on directionality. However, using the directionality information from the previous tests, they may provide additional information on how the source material of the Mt-Mk parallels in copied/edited.

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c21X

 

+ve Sentences, -ve Words

+ve unlikely

c22X

c12X

 

+ve unlikely

+ve Sentences, -ve Words

The previous results have indicated that the source material came from Mk, so we can use that as an assumption in the following tests. As with the homogeneity tests, there are six variations on each of the above two tests, as follows:

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c21X

-0.24

+ve Sentences, -ve Words

+ve unlikely

c22N

c21N

0.00

+ve Sentences, -ve Words

+ve unlikely

c22A

c21A

-0.09

+ve Sentences, -ve Words

+ve unlikely

c220

c210

-0.48

+ve Sentences, -ve Words

+ve unlikely

c221

c211

0.23

+ve Sentences, -ve Words

+ve unlikely

c222

c212

-0.04

+ve Sentences, -ve Words

+ve unlikely

There are no significant positive correlations here, and thus nothing to refute the assumption that the Mt-Mk parallels originated in Mk.

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Mk first

c22X

c12X

0.14

+ve unlikely

+ve Sentences, -ve Words

c22N

c12N

0.09

+ve unlikely

+ve Sentences, -ve Words

c22A

c12A

0.32

+ve unlikely

+ve Sentences, -ve Words

c220

c120

0.32

+ve unlikely

+ve Sentences, -ve Words

c221

c121

0.38

+ve unlikely

+ve Sentences, -ve Words

c222

c122

-0.04

+ve unlikely

+ve Sentences, -ve Words

The results of these groups of tests are not conclusive as to the mix of individual words vs. complete sentences that were copied or replaced. However, such indications as do exist support the conclusions of the tests for homogeneity, which are that the passages shared between Mt and Mk came from Mk, and also that aMt mainly selected or rejected complete sentences from Mk, but did change or add many individual words as well.

The greatest indication of Mt changing individual words comes from the Mt-Mk double tradition (c120 + c220 + c210 = cNN0), where we see:

  • p220 - p210 = -0.48
  • p220 - p120 = 0.32

This material (that is not in Lk) includes what is known as ‘The Great Omission’ from (approximately) Mk 6:47a - 8:27b, as well as the death of John the Baptist and some other items. In this material the relative frequency of use of various words varies greatly between Mk and Mt, in particular the use of IHSOUS:

  • c120 (Mk) – 55% below average
  • c220 (Mk) – 52% below average
  • c210 (Mt) – 122% above average

Here we see that the material that aMt chooses not to use (c120) contains the word IHSOUS a relatively small number of times, whereas in the material he adds (c210) he uses IHSOUS frequently.

Matthew - Luke

Homogeneity of Mt vs. Mt-Lk Parallels

The following tests compare the profiles of categories representing passages in Mt that do not have parallels in Lk (c2X0, c2N0, etc.) with those representing:
  1. Passages in Mt that do have parallels in Lk (c2XN, c2NN, etc.).
  2. Words in passages in Mt that do not exist in the parallel passages in Lk (c2X1, c2N1, etc.).

No parallels in Lk

Parallels in Lk

Corr

Passages compared in Mt:

c2X0

c2XN

0.66

All of Mt

c2N0

c2NN

0.36

Those also in Mk

c2A0

c2AN

0.68

Excluding words shared with Mk

c200

c20N

0.75

Those not in Mk

c210

c21N

0.55

Where Mk has different words

c220

c22N

0.51

Words shared with Mk

Here we see quite different results from those in the Mt–Mk comparisons, with some significant correlations in Mt between the profiles of passages with parallels in Lk, and those without. The strongest correlation occurs when comparing sondergut Mt (c200) with the double tradition passages in Mt (c20N), i.e. where there are no parallels in Mk. This in itself is a strong indication that the Mt-Lk double tradition did not originate in Lk.

No parallels in Lk

Not in Lk parallels

Corr

Passages compared in Mt:

c2X0

c2X1

0.36

All of Mt

c2N0

c2N1

0.16

Those also in Mk

c2A0

c2A1

0.54

Excluding words shared with Mk

c200

c201

0.69

Those not in Mk

c210

c211

0.26

Where Mk has different words

c220

c221

0.05

Words shared with Mk

The correlation is nearly as strong when comparing sondergut Mt with just those words from the double tradition that are in Mt but not Lk (c201), suggesting that c201 consists mainly of complete sentences, rather than just a selection of individual words, i.e. that the double tradition was created largely by selecting and copying complete sentences, and changing relatively few individual words.

However, when looking at the categories corresponding to the triple tradition passages in Mt (c211 + c221 + c222 + c212 = c2NN), the correlations indicate that the copying/editing between Mt and Lk involved changing a much greater number of individual words. This is particularly so for the words also shared with Mk (c221 + c222 = c22N):

  • c220 – c22N = 0.51
  • c220 – c221 = 0.05
  • c220 – c222 = 0.67
Here we can see that the selection and rejection of particular words by aLk has ‘split’ c22N into c221 and c222, so that p220 is not similar to p221, while it is similar to p222. The following group of tests compare categories on either side of this split:

Different, or not in Lk

Identical words in Lk

Corr

Passages compared in Mt:

c2XA

c2X2

0.51

All of Mt

c2NA

c2N2

0.16

Those also in Mk

c2AA

c2A2

0.42

Excluding words shared with Mk

c20A

c202

0.73

Those not in Mk

c21A

c212

0.37

Where Mk has different words

c22A

c222

0.63

Words shared with Mk

As with the previous two groups of tests, the strongest correlation again relates to the double tradition. We have:

  • p200 – p20N = 0.75
  • p200 – p201 = 0.69
  • p20A – p202 = 0.73
The first and last of these three comparisons ‘overlap,’ both including c201, as follows:
  • p200 – p20N = p200 – p(c201 + c202)
  • p20A – p202 = p(200 + 201) - p202
This trio of correlations, all of which are positive irrespective of whether c201 is paired with c200 or c202, indicate that c201 has a very similar profile to both c200 and c202. This indicates that most of the words in all three categories most likely came from the same source. In addition, as c200 (sondergut Mt) contains complete sentences, c201 and c202 must also each largely consist of complete sentences.

This evidence supports the view that the double tradition material originated in Mt, and that words common to Mt and Lk were mainly re-used in Lk in the form of complete sentences, with only a small percentages of the words from Mt being removed or replaced by aLk in the process.

With regard to passages in Mt that are part of the triple tradition (c211 + c221 + c222 + c212), we have:
  • p220 – p22N = 0.51
  • p22A – p222 = 0.63
These comparisons also overlap, with both including c221, so that:
  • p220 – p22N = p220 - p(221 + 222)
  • p22A – p222 = p(220 + 221) - p222
This is similar to the case of c200, c201, and c202 (above), and therefore there is good reason to believe that c220, c221 and c222 all came from the same source, which (from the previous Mk–Mt comparisons) is most likely to have been Mk. However, in this case more of the copying/editing was performed by selecting (or not) individual words rather than complete sentences.

Homogeneity of Lk vs. Mt-Lk Parallels

The following tests all compare the profiles of categories representing passages in Lk that do not have parallels in Mt (c0X2, c0N2, etc.) with those representing passages in Mt that do have parallels in Lk (cNX2, cNN2, etc.).

No parallels in Mt

Parallels in Mt

Corr

Passages compared in Lk:

c0X2

cNX2

0.52

All of Lk

c0N2

cNN2

0.00

Those also in Mk

c0A2

cNA2

0.61

Excluding words shared with Mk

c002

cN02

0.25

Those not in Mk

c012

cN12

0.37

Where Mk has different words

c022

cN22

0.43

Words shared with Mk


No parallels in Mt

Not in Mt parallels

Corr

Passages compared in Lk:

c0X2

c1X2

0.67

All of Lk

c0N2

c1N2

0.07

Those also in Mk

c0A2

c1A2

0.70

Excluding words shared with Mk

c002

c102

0.29

Those not in Mk

c012

c112

0.42

Where Mk has different words

c022

c122

0.15

Words shared with Mk

Although these two groups of tests appear to indicate that all the passages in Lk that do not have parallels in Mt have similar profiles to all those that do (p0X2 – pNX2 = 0.52), the correlation is actually only significant where Lk does not share words with either Mt or Mk (p0A2 – p1A2 = 0.70). This indicates that the only parts of Lk that are homogenous are those categories containing words unique to Lk, which in turn suggests that the words in Lk common to either Mt or Mk did not come from the same source as the words unique to Lk.

Different, or not in Mt

Identical words in Mt

Corr

Passages compared in Lk:

cAX2

c2X2

-0.07

All of Lk

cAN2

c2N2

-0.48

Those also in Mk

cAA2

c2A2

0.18

Excluding words shared with Mk

cA02

c202

0.30

Those not in Mk

cA12

c212

-0.37

Where Mk has different words

cA22

c222

0.15

Words shared with Mk

The most interesting result here is the negative correlation between pAN2 and p2N2 (= -0.48). Examining the scatter plots of these and other categories shows that this is mainly due to there being a number of words with above average frequencies in c1N2 (which is part of cAN2) that have below average frequencies in c2N2:

  • p1N2 – p2N2 = -0.47
As previously demonstrated, this ‘splitting’ of words between adjacent categories is caused by another person selecting (or not) these words to use in another text. Here c1N2 contains words in Lk that were not used when some text from Lk was edited for use in Mt, while c2N2 contains the words that were re-used in Mt, i.e. there is evidence of some copying/editing from Lk to Mt in passages common to all three synoptics (the triple tradition).

Source of Identical Words in Mt-Lk Parallels

The following tests check for correlations between the profiles of c2X2 (and variations c2N2, c2A2, etc.) and the equivalent Matthean and Lukan categories.

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Lk first

c2X2

c2X0

0.65

Positive

Negative (different subjects)

c2N2

c2N0

0.45

Positive

Negative (different subjects)

c2A2

c2A0

0.51

Positive

Negative (different subjects)

c202

c200

0.69

Positive

Negative (different subjects)

c212

c210

0.35

Positive

Negative (different subjects)

c222

c220

0.67

Positive

Negative (different subjects)


Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Lk first

c2X2

c0X2

-0.04

Negative (different subjects)

Positive

c2N2

c0N2

-0.16

Negative (different subjects)

Positive

c2A2

c0A2

0.14

Negative (different subjects)

Positive

c202

c002

0.18

Negative (different subjects)

Positive

c212

c012

-0.33

Negative (different subjects)

Positive

c222

c022

0.40

Negative (different subjects)

Positive

Unlike the equivalent tests for the ‘ownership’ of the identical parallels in Mt and Mk, there are significant differences between the results of these two groups of tests, indicating that many of the words shared with Lk originated in Mt. The evidence is strongest for the words in the double tradition:

  • c202 – c200 = 0.69
  • c202 – c002 = 0.18
However, the evidence is less strong for the words in the triple tradition. In particular, for the words that are identical in all three synoptics (c222), there may have been movement in both directions. However, because c222 is the only category that contains words common to all three synoptics, we should take account of results involving c222 and all three synoptics at the same time, and also take account of any relationships between c220, c022, and c202 (double tradition words shared between any pair of the synoptics):
  • p222 – p220 = 0.67              p220 – p022 = 0.56
  • p222 – p022 = 0.40              p022 – p202 = -0.09
  • p222 – p202 = 0.36              p202 – p220 = 0.29

These results show that p220 (words common to Mt and Mk only) and p022 (words common to Mk and Lk only) are similar, indicating that both categories contain words mainly originating in the same source, i.e. Mk. This is the reason that p222 is similar to both p220 and p022, indicating in turn that c222 also contains words mainly originating in Mk.

Editing Choices in Mt-Lk Parallels

The previous results indicate that the double tradition (c202) words common to both Mt and Lk most likely originated in Mt, while the origin of the words in Mt-Lk agreements against Mk (c212) is uncertain. The following tests may help to clarify this.

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Lk first

c2X2

c2X1

0.16

+ve Sentences, -ve Words

+ve unlikely

c2N2

c2N1

-0.02

+ve Sentences, -ve Words

+ve unlikely

c2A2

c2A1

0.19

+ve Sentences, -ve Words

+ve unlikely

c202

c201

0.66

+ve Sentences, -ve Words

+ve unlikely

c212

c211

0.22

+ve Sentences, -ve Words

+ve unlikely

c222

c221

0.22

+ve Sentences, -ve Words

+ve unlikely

There is little evidence of editing choices here, except in the case of the double tradition (c202), where the results support the previous evidence that indicates that the double tradition consists mainly of sentences originating in Mt.

Category 1

Category 2

Corr

Correlation if Mt first

Correlation if Lk first

c2X2

c1X2

-0.10

+ve unlikely

+ve Sentences, -ve Words

c2N2

c1N2

-0.47

+ve unlikely

+ve Sentences, -ve Words

c2A2

c1A2

0.21

+ve unlikely

+ve Sentences, -ve Words

c202

c102

0.52

+ve unlikely

+ve Sentences, -ve Words

c212

c112

-0.33

+ve unlikely

+ve Sentences, -ve Words

c222

c122

-0.04

+ve unlikely

+ve Sentences, -ve Words

The double tradition result in this group of tests appears to contradict previous results, since p202 is similar to both p201 and p102, suggesting that c202 originated in both Mt and Lk. The key indicators here are:

  • p200 – p201 = 0.69              p200 – p202 = 0.69        p201 – p202 = 0.66
  • p002 – p102 = 0.29              p002 – p202 = 0.18        p102 – p202 = 0.52
These results show that both p201 and p202 (double tradition words in Mt) are very similar to p200 (sondergut Mt), but neither p102 nor p202 (double tradition words in Lk) are similar to p002 (sondergut Lk).

As p102 is not similar to p002, but is similar to p202, and p202 is similar to p200, it is reasonable to suppose that p102 might also be similar to p200. However, this is not actually the case. Instead:

  • p200 – p102 = 0.29
Thus, although p102 is similar to p202, it is not similar to the profiles of either sondergut Mt or sondergut Lk, suggesting that at least some of c102 might have come from another source (i.e. not Mt, Mk, or Lk), which I will call S. However, if so, because p102 is similar to p202, then the whole of the double tradition has some relationship with S.

More specifically, some of the double tradition text may have originated in S (in addition to Mt, as previously suggested). However, because p200 (sondergut Mt) is very similar to both p201 and p202, any text originating in S must have been edited by aMt before any of it was used within Lk. Then, after aMt had made his mark on the text, aLk added his own changes, leaving p102 still similar to p202, but not similar to sondergut Lk.

Mark - Luke

Homogeneity of Mk vs. Mk-Lk Parallels

The following tests all compare the profiles of categories representing passages in Mk that do not have parallels in Lk (cX20, cN20, etc.) with those representing passages in Mk that do have parallels in Lk (cX2N, cN2N, etc.).

No parallels in Lk

Parallels in Lk

Corr

Passages compared in Mk:

cX20

cX2N

0.51

All of Mk

cN20

cN2N

0.45

Those also in Mt

cA20

cA2N

0.46

Excluding words shared with Mt

c020

c02N

0.35

Those not in Mt

c120

c12N

0.43

Where Mt has different words

c220

c22N

0.51

Words shared with Mt


No parallels in Lk

Not in Lk parallels

Corr

Passages compared in Mk:

cX20

cX21

0.36

All of Mk

cN20

cN21

0.29

Those also in Mt

cA20

cA21

0.55

Excluding words shared with Mt

c020

c021

0.44

Those not in Mt

c120

c121

0.54

Where Mt has different words

c220

c221

0.05

Words shared with Mt


Different, or not in Lk

Identical words in Lk

Corr

Passages compared in Mk:

cX2A

cX22

0.31

All of Mk

cN2A

cN22

0.29

Those also in Mt

cA2A

cA22

0.20

Excluding words shared with Mt

c02A

c022

0.21

Those not in Mt

c12A

c122

0.13

Where Mt has different words

c22A

c222

0.63

Words shared with Mt

On the assumption that aLk copied/edited text from Mk (as suggested above), we would expect to see significant correlations in these tests. However, although some do exist, they do not form a clear pattern. In particular, there is some evidence that the ‘Mk-Lk double tradition’ (i.e. c021 and c022, where there is no sharing with Mt), may have originated in Mk, and some evidence that the triple tradition words common to all three synoptics (c222) also originated in Mk, but little else. Overall, there are enough correlations greater than 0.4 to suggest that Mk was the source of the words common to Mk and Lk (with Lk changing many individual words), and nothing to suggest otherwise.

Homogeneity of Lk vs. Mk-Lk Parallels

The following tests all compare the profiles of categories representing passages in Lk that do not have parallels in Mk (cX02, cN02, etc.) with those representing passages in Lk that do have parallels in Mk (cXN2, cNN2, etc.).

No parallels in Mk

Parallels in Mk

Corr

Passages compared in Lk:

cX02

cXN2

0.42

All of Lk

cN02

cNN2

0.01

Those also in Mt

cA02

cAN2

0.63

Excluding words shared with Mt

c002

c0N2

0.07

Those not in Mt

c102

c1N2

0.20

Where Mt has different words

c202

c2N2

0.10

Words shared with Mt


No parallels in Mk

Not in Mk parallels

Corr

Passages compared in Lk:

cX02

cX12

0.48

All of Lk

cN02

cN12

-0.02

Those also in Mt

cA02

cA12

0.71

Excluding words shared with Mt

c002

c012

0.32

Those not in Mt

c102

c112

0.27

Where Mt has different words

c202

c212

-0.30

Words shared with Mt


Different, or not in Mk

Identical words in Mk

Corr

Passages compared in Lk:

cXA2

cX22

0.31

All of Lk

cNA2

cN22

-0.22

Those also in Mt

cAA2

cA22

-0.13

Excluding words shared with Mt

c0A2

c022

-0.35

Those not in Mt

c1A2

c122

0.09

Where Mt has different words

c2A2

c222

0.21

Words shared with Mt

There is little evidence here of any significant degree of correlation between categories in Lk. The exception is cA02 (sondergut Lk + double tradition words only in Lk), where we have:

  • pA02 – pAN2 = 0.63
  • pA02 – pA12 = 0.71
Because cAN2 = cA12 + cA22, it appears as though the relationship between pA02 and pA12 is the main ‘driver’ behind these two correlations. However, as both these categories are themselves the combination of two other categories, we need to look at other comparisons between the various components of cA02 and cAN2 to uncover more detail. We have:
  • cA02 = c002 + c102
  • cAN2 = c012 + c022 + c112 + c122 = cA12 + cA22 = c0N2 + c1N2
  • p002 – p012 = 0.32        p102 – p012 = -0.05       pA02 – p012 = 0.27
  • p002 – p022 = -0.33       p102 – p022 = -0.27       pA02 – p022 = -0.36
  • p002 – p112 = 0.74        p102 – p112 = 0.27        pA02 – p112 = 0.73
  • p002 – p122 = 0.08        p102 – p122 = -0.16       pA02 – p122 = 0.03
  • p002 – pA12 = 0.73       p102 – pA12 = 0.23       pA02 – pA12 = 0.71
  • p002 – pA22 = -0.08      p102 – pA22 = -0.25      pA02 – pA22 = -0.14
  • p002 – p0N2 = 0.07       p102 – p0N2 = -0.24      pA02 – p0N2 = 0.00
  • p002 – p1N2 = 0.68       p102 – p1N2 = 0.20       pA02 – p1N2 = 0.66
From this we can see that the key relationship is the strong correlation between p002 and p112, because all the other strong correlations shown involve categories that include both c002 and c112. This is a strong indication that the words in c002 (sondergut Lk) and c112 (triple tradition words unique to Lk) came from the same source. In addition, because c002 (by definition) contains complete sentences, this indicates that c112 also consists largely of complete sentences rather than individual words or phrases.

However, because p012 does not have such a strong correlation with p002, again a little more investigation is needed:

  • p012 – p002 = 0.32
  • p012 – p112 = 0.42
  • p012 – p022 = -0.32

From these results we can see that c012 is most likely to come from the same source as c002 and c112. However, the correlations indicate that p012 contains a higher percentage of individual words, which is consistent with the view that aLk significantly altered the Greek of the passages he took from Mk that are not in Mt.

The lack of correlation between p002 and both p022 and p122 suggests that words shared between Mk and Lk did not come from Lk, but they came from Mk instead.

Source of Identical Words in Mk-Lk Parallels

The following tests check for correlations between the profiles of cX22 (and variations cN22, cA22, etc.) and the equivalent Markan and Lukan categories.

Category 1

Category 2

Corr

Correlation if Mk first

Correlation if Lk first

cX22

cX20

0.43

Positive

Negative (different subjects)

cN22

cN20

0.40

Positive

Negative (different subjects)

cA22

cA20

0.03

Positive

Negative (different subjects)

c022

c020

0.08

Positive

Negative (different subjects)

c122

c120

-0.03

Positive

Negative (different subjects)

c222

c220

0.67

Positive

Negative (different subjects)


Category 1

Category 2

Corr

Correlation if Mk first

Correlation if Lk first

cX22

cX02

-0.19

Negative (different subjects)

Positive

cN22

cN02

0.05

Negative (different subjects)

Positive

cA22

cA02

-0.14

Negative (different subjects)

Positive

c022

c002

-0.33

Negative (different subjects)

Positive

c122

c102

-0.16

Negative (different subjects)

Positive

c222

c202

0.36

Negative (different subjects)

Positive

These tests support previous results suggesting that the main source of the words common to all three synoptics was Mk. However, they do not provide any strong indication of the sources of the words common to Mk and Lk but not Mt, i.e. those in c022 and c122.

Editing Choices in Mk-Lk Parallels

Category 1

Category 2

Corr

Correlation if Mk first

Correlation if Lk first

cX22

cX21

0.12

+ve Sentences, -ve Words

+ve unlikely

cN22

cN21

0.09

+ve Sentences, -ve Words

+ve unlikely

cA22

cA21

0.29

+ve Sentences, -ve Words

+ve unlikely

c022

c021

0.29

+ve Sentences, -ve Words

+ve unlikely

c122

c121

0.21

+ve Sentences, -ve Words

+ve unlikely

c222

c221

0.22

+ve Sentences, -ve Words

+ve unlikely


Category 1

Category 2

Corr

Correlation if Mk first

Correlation if Lk first

cX22

cX12

-0.51

+ve unlikely

+ve Sentences, -ve Words

cN22

cN12

-0.41

+ve unlikely

+ve Sentences, -ve Words

cA22

cA12

-0.07

+ve unlikely

+ve Sentences, -ve Words

c022

c012

-0.32

+ve unlikely

+ve Sentences, -ve Words

c122

c112

0.21

+ve unlikely

+ve Sentences, -ve Words

c222

c212

-0.04

+ve unlikely

+ve Sentences, -ve Words

The lack of any significant correlations in the first group of tests above and the negative correlations in the second group suggest that the words common to both Mk and Lk could have originated in Lk. However, this appears to contradict previous results and others (below), that suggest that the words in Mk that are common to either Mt or Lk originated in Mk:

  • pX22 – p22A = 0.58
  • pX22 – p220 = 0.62
  • pN22 – p220 = 0.55
  • p022 – p220 = 0.56

The key to understanding this problem is knowledge of the differences between the Greek used in Mk and that used in Lk, in particular that Lk ‘corrects’ or ‘improves’ the Greek used in Mk. For example, cX22 contains above average use of EIPON, with below average use in cX12, while the converse is true of EIS. As previously mentioned, this causes a negative correlation between the profiles of many of the categories in Mk when compared with categories in Lk.

Next: Conclusions

Č
Ĉ
David Inglis,
Nov 17, 2011, 9:15 AM
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