Phrase structure tree of the English sentence, "The dog bites the cat." |
In English, as in other languages, speech consists of words put together into phrases, which, in turn, are put together into sentences. (This sequence is neither the beginning nor the end of the things put together, but it is all we need for now.) Using transformational grammar, linguists analyze sentences into their constituent phrases and the phrases into their constituent words, in the form of phrase structure trees. To diagram the sentence, “The dog bites the cat,” I began the tree at the top with “S,” which stands for sentence. I divide this into two constituent parts, a noun phrase (NP) on the left and a verb phrase (VP) on the right. The initial NP is further divided into its constituents, the article “the” (Art) on the left and the noun “dog” (N) on the right. The second element in the sentence, the VP, is also further subdivided, into the verb “bites” (V) on the left and another NP, “the cat,” on the right. At the base, the final NP subdivides into another sequence of Art + N. (Additional details can be included, but I chose to simplify the diagram.)
The Indus inscriptions are amenable to a similar type of
analysis, although I cannot relate the various elements of the script to any
specific linguistic elements. In other
words, no one yet knows whether each sign represents a phonetic element (eg., a
sound, a syllable), a semantic element (e.g., a word or affix), or neither
one. Nevertheless, several researchers
have demonstrated that there is some structure in the inscriptions. The following discussion is my attempt to describe
the structure using a tree similar to that found in linguistics for phrase
structure. My analysis is based upon
Korvink’s statistical positional analysis of the Indus script, although he does
not use the tree diagram (2008).
Korvink’s analysis demonstrates the existence of three
possible subdivisions or subclasses of an inscription, which I have often
discussed in previous posts:
1.
Prefix, typically in initial position,
consisting of one or more signs (variables) followed by one of three
“constants,” either SINGLE QUOTE, BI-QUOTES, or PINCH (in rare cases by two
constants);
2.
Medial section, typically following any prefix
and/or preceding any terminal, consisting of one or more signs;
3.
Terminal, typically in final position,
consisting of one or two terminal signs, POT, FLANGE-TOPPED POT, FORK-TOPPED
POT, COMB, MAN, BEARER, CHEVRON-HATTED BEARER, POT-HATTED BEARER, SPEAR, or
PINWHEEL.
An inscription may include one, two, or all three of these
segments, which I will term ‘phrases’ in the following (without implying that
they are linguistic phrases). Based upon
Korvink’s discussion, I originally assumed the basic structure could be
expressed in the following manner, where parentheses indicate an element that
is optional:
First approximation to phrase structure tree for an Indus inscription. |
If it is correct that the M phrase is obligatory, there
should be no inscriptions consisting only of a P phrase or of a T phrase. On my first pass through my own database, I
did find some P-only and T-only inscriptions, although not many. Of course, I had to eliminate from
consideration all inscriptions on broken objects where another element may
originally have appeared. While this
winnowing process leaves over 100 M-only inscriptions, I found just 16 examples
containing only a P phrase.
Seal B-7 with inscription containing only a P phrase: CIRCLED VEE / BI-QUOTES. |
Of these 16, 10 appear on seals from Mohenjo daro, Harappa, Kalibangan, and Banawali; 3
examples plus one duplicate are on tablets
from Harappa; and 3 examples appear among the graffiti on pot shards and an ivory stick. All of the graffiti examples are dubious:
either one or more symbols are close to a break or difficult to identify. For this reason, I will ignore the graffiti
category for now. This leaves 13
inscriptions. In these, the P phrase
consists of 2 to 6 signs. Shorter types
outnumber longer ones: 8 inscriptions consist of a 2-sign P, 2 each of a 3-sign
and 4-sign P, and 1 each of a 5-sign and a 6-sign P. Thus, the length of the apparently
independent ‘prefix’ is much the same as that of the P in inscriptions that
include one or more other elements.
Button seal Dmd-1 with inscription containing only a T phrase: POT. |
I found even fewer inscriptions containing only the T
phrase, 8 in all. Only 1 instance appears
on a seal – specifically a button seal from Daimabad. The other 7 examples occur in graffiti on pot
shards and a bangle fragment. Again, it
seems wise to discard the data from graffiti for now. With only one counter-example, I conclude
that the button seal with only a POT is an anomaly, that the hypothesis that T
is optional is essentially confirmed.
But I must revise my original assessment somewhat as regards M. There are in fact a few inscriptions
consisting only of P and I cannot easily explain away or discard this. So while the M phrase is almost always
present, it too is optional in some cases. While P is clearly optional, being absent in many
cases, its status appears somewhat stronger than that of T. We will come back to this later.
For now, although my initial analysis is not entirely
accurate, I will continue using it since it describes the bulk of the data.
The reason for the occasional absence of M is not at all clear at this point, but that is something to investigate further in a future post.
Detail from seal H-43 with inscription containing only an M phrase: TWO POSTS / ASTERISK / QUAD-FORK. |
In examining the M-only inscriptions, I found many examples
demonstrating greater variety of form than in the other two phrases.
Number
of signs
in
M-only inscription
|
No.
of examples
including
graffiti
|
No.
of examples
excluding
graffiti
|
1
|
47
|
31
|
2
|
72
|
54
|
3
|
79
|
71
|
4
|
35
|
2 (+3 Gulf seals)
|
5
|
19
|
1 (+2 Gulf seals)
|
6
|
6
|
0 (+2 Gulf seals)
|
7
|
6
|
0
|
8
|
4
|
0
|
TOTAL:
|
268
|
159 (excluding Gulf)
|
Given that an inscription can be M alone – in rare cases P
alone – the next step is to determine which combinations of phrases occur. First, let us consider the possibility of
repetition of a single phrase. Since M
can appear alone, if repetition is possible then we would also see MM. Since the P occurs alone, we might also
expect to see PP. Since T essentially
does not appear alone (except for dubious cases), we would not expect to see
TT. Which 2-phrase sequences do occur?
I found two possible examples of a PP phrase within a longer
inscription, both of which are better analyzed as PMT. Analysis of the first example, M-706, depends
upon the identification of the initial sign.
Looking only at the relative sizes of the signs themselves, this
inscription reads: SINGLE QUOTE // VEE IN DIAMOND / BI-QUOTES // WHISKERED FISH
/ BI-RAKE WITH ATTACHED TRI-FORK // POT.
This could be analyzed as PPMT, although that would be quite anomalous
in that the variable(s) in the first P is missing. The icon on this seal is the unicorn,
however, and its long horn cramps the first sign, causing it to become smaller than
the other signs. Thus, this is better
analyzed as SINGLE POST / VEE IN
DIAMOND / BI-QUOTES // WHISKERED FISH / BI-RAKE WITH ATTACHED TRI-FORK // POT. Analysis then becomes a straightforward PMT.
The second possible example is more problematic, since the
inscription takes up two lines (Ns-9).
Reading both lines from left to right, I could transcribe the
inscription as follows:
CIRCLED DOT WITH EAR / STRIPED TRIANGLE / CORN HOLDER /
PANTS / BUD / BI-QUOTES //
X / POT // (WINGED?) MAN HOLDING POST / PINCH.
(Here, “X” represents an ambiguous element at the left end
of the second row of signs, where the bottom of the element is lost with the
broken off corner. I am assuming this
element is not a sign but the top of the tail of the tiger body of the
icon.) This would yield an anomalous
analysis as PTP. Thus, it seems better
to read the second line in the opposite direction from the first line, right to
left (a ways of reading termed boustrophedon, “as the ox plows”):
CIRCLED DOT WITH EAR / STRIPED TRIANGLE / CORN HOLDER /
PANTS / BUD / BI-QUOTES // (L-R)
PINCH // (WINGED?) MAN HOLDING POST // POT (R-L).
This provides a normal analysis of PMT (possibly with a rare
appearance of two constants, one at the end of line 1, the other at the
beginning of line 2).
Seal C-17 with inscription analyzable as MT (or MTT): WINGED MAN // POT / MAN. |
Since we can analyze the apparent PP sequences in these two
examples in more normalized fashion, I tentatively conclude that PP does not
occur. A similar process yields the same
result for TT. There are infrequent examples
where two terminal signs appear together on one line. In two such cases, one might conclude that a
terminal sign appears in one part of the inscription and a second terminal
appears in another part of the same inscription, yielding a TT phrase. The first example is C-17, where there are
two signs above the iconic unicorn (WINGED MAN // POT) and a third sign below
the head of the animal where the cult stand usually appears (MAN). We could analyze this as MT-T (in other words,
two phrases, one MT and the other simply T), due to the spatial separation of
POT and MAN. However, if we assume that
the final sign took this unusual position only because of crowding at the top
or for stylistic reasons, we can group the 3 signs together in a less anomalous
form as indicating simply MT (where T includes two signs).
The other example is from the Gulf, showing a somewhat odd
POT on the left and another on the right, on either side of the iconic
animal. Again, due to their separation,
the signs could be analyzed as T-T (two phrases, each simply T). Other Gulf inscriptions show sequencing and
positioning of signs not found in Indus inscriptions. So, again, it is best simply not to group
this inscription with authentic Indus inscriptions.
Since PP and TT do not occur, we must ask whether MM
appears. If it does not, then we can
express all three non-occurrences with a single rule: a phrase cannot duplicate
the previous phrase type. If an inscription
appears on two lines and each line is an M phrase, then there are indeed MM (or
rather, M-M) inscriptions. Since one
cannot know, at the outset, whether an inscription on two lines contains one or
two independent messages, I have analyzed each line separately. But I have not yet attempted to demonstrate
whether this is accurate. For now, I have
assumed MM is possible, leaving the test of this assumption to another time. No other duplication of phrase type is allowed
for contiguous phrases.
Based on the postulated (P)M(T) sequence, I expect just two
kinds of two-phrase sequences, namely, PM and MT. That is, I would not expect to find MP, TM,
PT, or TP. In a first pass, I find PM
(without any additional elements) in 6 Gulf seals and 1 Mesopotamian example
(to be temporarily discarded from further analysis) alongside 235 Indus examples. Narrowing the search to the first volume of the
corpus and to inscriptions that are clear and complete on seals and tablets, I find
72 examples. This clearly demonstrates
the occurrence of PM as a complete inscription.
If the P phrase can occur alone, even if rarely, we would expect
a few phrases with 2 constituents to lack M, yielding PT. As it happens, I do find a few instances of
PT, either as a complete inscription or as part of one:
1.
M-1177 (seal): CIRCLED
VEE / BI-QUOTES / SINGLE QUOTE // TRI-FORK TOPPED POT / POT (PT).
2.
H-829 (tablet):
CARTWHEEL / BI-QUOTES // MAN // (B side) QUAD-FORK / 2 POSTS / CUP
(PT-M; although this seems to appear in the KP concordance as CARTWHEEL /
BI-QUOTES // MAN BY CHEVRON, which
yields analysis as PM).
3.
M-257
(seal): BOAT / PINCH // POT // RECTANGLE (PT-M).
4.
M-267:
EX UNDER TABLE / BI-QUOTES // POT-HATTED BEARER // BLANKET // POT (PT-MT).
5.
M-1591 (graffiti): BI-QUOTES // POT (PT?)
6.
M-311 (seal): COIL / STRIPED FAT LEG LAMBDA / BI-QUOTES //
DOUBLE COMBS (PT).
7.
M-394 (bar seal): CUPPED SPOON / 3 POSTS / SINGLE QUOTE //
FLANGE-TOPPED POT / POT (PT).
8.
Laursen 23 (Gulf seal): AY OVER QUOTES / CRAB /
SINGLE QUOTE // DOUBLE POTS (PT?).
We can safely discard number 8, the Gulf seal, since this
group is often anomalous. As my notes
indicate, we can also probably discard number 2, assuming my original reading
was wrong and the KP concordance is correct.
The 5th example appears as graffiti on a pot shard and can
also be discarded. This still leaves 5
examples, 3 PT alone (M-311, M-394, and M-1177, colored yellow above) and 2 with PT followed by
something else, PT-M (M-257), and PT-MT (M-267) (colored blue above). These last two will be dealt with in a later post,
when I consider longer inscriptions. It
is interesting that all 5 come from Mohenjo daro, which hints at geographical
variation in phrase structure rules.
However, much more material comes from Mohenjo daro than from any other
site, so this may only be an accident of preservation.
Seal M-311 with rare inscription containing PT phrases (shown reversed): COIL / STRIPED FAT LEG LAMBDA / BI-QUOTES // DOUBLE COMBS. |
My conclusion thus far is that PP does not occur; PM is
common; PT occurs but rarely.
Moving to sequences beginning with M, we expect to find MT,
but not MP. My search yielded no examples, so I conclude that MP does not occur. There are a number of inscriptions that appear on two or more lines, or on two or more sides of an object. One cannot determine whether this spatial separation is meaningful or not. So I have coded each line separately, in case each is a separate message. By this criterion, there are indeed MM sequences. This should not be taken as a definitive finding, though, by any means.
As expected, MT is common, even more so than PM. I find a total of 609 occurrences not counting
Gulf seals or Indus graffiti with this pattern. Again, narrowing the field to the first volume
of the corpus and discarding all broken and unclear examples, the number shrinks
but remains high with 136 examples.
In conclusion, MP does not occur; MM appears to be common; MT
is very common.
Let us move now to sequences with T. Since this is a terminal element, it should
not occur in initial position (except after a break). Thus, there should be no TP, no TM, and no TT.
Indeed, not counting broken objects
which probably contained M originally, there are no instances of TP or TM. The only example of TT is the Gulf seal
mentioned earlier (Laursen 56). I noted
already that PT is rare and MT very frequent.
TP does not occur; TM does not occur; TT does
not occur.That is enough for now. My next post will take up the occurrences of inscriptions with three phrases.
REFERENCES
Korvink , M.P. 2008. The Indus Script: A Positional-Statistical Approach. Gilund Press.
Koskenniemi, K. and A. Parpola. 1982. A Concordance to the Texts in the Indus Script. Helsinki: Department of Asian and African Studies, University of Helsinki.
Laursen, S.T. 2010. "The westward transmission of Indus Valley sealing technology: origin and development of the 'Gulf type' seal and other administrative technologies in Early Dilmun, c. 2100-2000 B.C." in Arabian Archaeology and Epigraphy 21: 96-134. (available online at academia.edu)
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