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This is not quite the book I originally intended to write. Since I
first felt that linguistic application of categorial grammar
merited a system- atic presentation, I have been subject to (what
seemed to be) a series of demanding technical and foundational
distractions. Inspite of a prej- udice that mathematical elegance
was even inconsistent with linguistic practicality, repeated
illumination of the latter by the former implied a new perspective
on the field, one prompting formal innovation, and some
re-examination of methods and goals. This piece collects and
extends work over the last four years general- ising categorial
grammar to a categorial logic. The state of the art at the
beginning of that period was represented by the edited collections
Oehrle, Bach and Wheeler (1988) and Buszkowski, Marciszewski and
van Benthem (1988) (see Morrill 1991a, b), and by Moortgat (1988b).
Familiarity with such work however is not strictly necessary for an
un- derstanding of the present one, which attempts to map a
self-contained, if intensive, course with Montague Grammar as its
point of departure. This being the case, the reader should have an
understanding of logical semantics and its technicalities, such as
would be obtained from Dowty, Wall and Peters (1981), or Gamut
(1991). Some familiarity with the issues raised by contemporary
syntactic theories would also be useful, as would some familiarity
with logical deduction.
This is not quite the book I originally intended to write. Since I
first felt that linguistic application of categorial grammar
merited a system- atic presentation, I have been subject to (what
seemed to be) a series of demanding technical and foundational
distractions. Inspite of a prej- udice that mathematical elegance
was even inconsistent with linguistic practicality, repeated
illumination of the latter by the former implied a new perspective
on the field, one prompting formal innovation, and some
re-examination of methods and goals. This piece collects and
extends work over the last four years general- ising categorial
grammar to a categorial logic. The state of the art at the
beginning of that period was represented by the edited collections
Oehrle, Bach and Wheeler (1988) and Buszkowski, Marciszewski and
van Benthem (1988) (see Morrill 1991a, b), and by Moortgat (1988b).
Familiarity with such work however is not strictly necessary for an
un- derstanding of the present one, which attempts to map a
self-contained, if intensive, course with Montague Grammar as its
point of departure. This being the case, the reader should have an
understanding of logical semantics and its technicalities, such as
would be obtained from Dowty, Wall and Peters (1981), or Gamut
(1991). Some familiarity with the issues raised by contemporary
syntactic theories would also be useful, as would some familiarity
with logical deduction.
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