Stanley E. Porter - Matthew Brook O’Donnell, «The Greek Verbal Network Viewed from a Probabilistic
Standpoint: An Exercise in Hallidayan Linguistics», Vol. 14 (2001) 3-41
This study explores numerical or distributional
markedness in the verbal network of the Greek of the New Testament. It
extends the systemic analysis of Porter (Verbal Aspect in the Greek of
the New Testament, 1989), making use of the Hallidayan concept of
probabilistic grammar, which posits a typology of systems where features
are either "equiprobable".both features are equally distributed
(0.5/0.5).or "skewed".one feature is marked by its low frequency of
occurrence (0.9/0.1). The results confirm that the verbal aspect system of
the Greek of the New Testament is essentially independent of other verbal
systems, such as voice and mood.
The Greek Verbal Network Viewed from a Probabilistic Standpoint 13
assigning a probability to each potential outcome (either A or B). If it is
equally likely that either outcome will occur, then each will be given a pro-
bability of 0.5. If outcome A is expected to occur 9 times out of every ten
choices, then A will be assigned a probability of 0.9 and B will be one
minus the probability of A, thus 1 - 0.9 = 0.1. These probabilities should
not be viewed as operating in a predictive manner, in saying «the next choi-
ce should be A with odds of nine to one», but rather as providing an inter-
pretative framework for choices once they have been made 45. Consider
system X, in which the probabilities of outcomes A and B are 0.9 and 0.1
respectively—that is, A is nine times more likely to occur than B—if B is
chosen, then we can define B not only as «not A», but «not A against odds
of nine to one». These probabilities not only provide information about
general patterns of grammatical features within a language, but they can
also be used to help define the semantics of these features.
In the introduction we noted the influence of Chomsky’s syntactical
theory upon linguistics in the past nearly forty years, and particularly how
his negative view of probabilistic modelling has discredited the use of
numerical methods in theoretical linguistics. In addition, his restatement
of Saussure’s langue and parole distinction in terms of linguistic compe-
tence and linguistic performance has resulted in the consignment of data
obtained from real texts to the realm of applied linguistics, while theore-
tical linguistics has concerned itself with logical and theoretical concepts
such as grammaticality 46. De Beaugrande has counted the number of sen-
tences which are found in Chomsky’s early works, Syntactic Structures and
Aspects of the Theory of Syntax, and found that «only twenty-eight inven-
ted sentences in SS [Syntactic Structures] and twenty-four in AT [Aspects
of the Theory of Syntax] are analysed» 47. It is not therefore surprising that
Chomsky not only rejected the value of naturally occurring language for
the study of syntactic structure, but concluded that «probabilistic models»
could bring little insight to this task 48.
In his work, Halliday rejects the Saussurian langue–parole dualism, and
especially Chomsky’s competence–performance division, and instead offers
45
Halliday, «Corpus Studies and Probabilistic Grammar», pp. 32-33.
46
A standard introduction to theoretical linguistics is J. Lyons, Introduction to
Theoretical Linguistics (Cambridge: Cambridge University Press, 1968). An examina-
tion of this work fails to uncover a single textual example larger than the individual
sentence, and all of these examples are invented instead of being drawn from texts or
instances of speech. As Stubbs indicates, another influential work by Lyons, his two
volume Semantics (2 vols.; Cambridge: Cambridge University Press, 1977), does not
«analyse a single authentic text or text fragment» (Stubbs, Text and Corpus Analysis,
p. 30).
47
De Beaugrande, Linguistic Theory, p. 176. Halliday suggests that «Chomsky’s sar-
castic observation that “I live in New York is more frequent than I live in Dayton Ohioâ€
was designed to demolish the conception that relative frequency in text might have any
theoretical significance» («Corpus Studies and Probabilistic Grammar», p. 30).
48
Chomsky, Syntactic Structures, p. 17.