Ling
431/631: Corpus Linguistics
Ben
Bergen
Meeting 6: Morphology
September 24, 2007
Productivity
One of the
most interesting things about the grammar of human languages is the productivity
of syntactic and morphological processes - namely the possibility of producing
new things from component parts and processes. This is presumably the property
that gives language its infinite potential.
But how do
you measure it? (adapted loosely from Bauer 2001)
P = ntype/Htype
where ntype is the number of types using the rule
and Htype is the hypothetical total number of types which the word formation
rule could give rise to.
Any
problems with this?
P = ntype/Ttype or ntoken/Ttoken
where ntype and ntoken are the type and token frequencies of
the process and Ttype and Ttoken are the total type and token
frequencies of the particular process and its competitors
Problems
with these?
P = n1/Ntoken
where n1 is the number of words formed by the appropriate process
occurring in a corpus precisely once (i.e., hapax legomena) and Ntoken is the total token frequency of words created by that
morphological process in the corpus.
hapax legomenon (pl. legomena): a word form occurring only once in a corpus
Problems
with this?
How can you calculate this?
So though
there are a number of measures, they're mostly indirect.
Beyond
productivity
Because
pretty much all morphological processes are only partly productive (if at all),
sometimes there are competing members of paradigms. These can be studied and
their contexts of use described.
Also related
to productivity are a variety of questions
Even pretty
much unproductive stuff can have psychological reality, like phonaesthemes
(Bergen 2004):
the frequency of words that have the phonaesthemes in question
over the total number of words with a similar meaning
the
frequency of words with the phonaestheme over the total number of words with
the same form.
Or you can
look at other statistics internal to words, such as the noun and verb business
we saw last time.
References
Bauer ,
Laurie. 2001. Morphological productivity. New York
and Cambridge: Cambridge University Press.
Bergen,
Benjamin. 2004. The psychological reality of phonaesthemes. Language 80(2).