features is that adjectives and prepositions have qualities in them that are asso-
ciated with verbs and nouns, as can be seen from 18 adjectives have +N & +V
and prepositions have -N & -V. Haegeman (1994) [13] p.146 gives the following
18 diagram for features:
Noun +N -V
Features diagram =
Verb -N +V
Adj. +N +V
(18)
Pre. -N -V
in words nouns have features of +noun and -verb, adjectives have features of
+noun and +verb, and so on. This can be represented by the matrix
Noun V erb
|
Noun | |||
|
Features matrix = |
V erb |
+1 |
-1 |
|
Adj. |
-1 -1 |
+1 +1 | |
|
Pre. |
-1 |
-1 |
(19)
A square matrix can be constructed by assuming that the matrix is symmetric.
This leaves only one unknown F (A, P). Taking F(A, P) = -1 gives equal
number of positive and negative entries in the matrix
which is singular as its determinant vanishes. There appears to be no relation
between matrix F 20 and matrix U 16. Using the Pauli matrices (see for example
Bjorken and Drell (1965) [4] p.378)
|
• |
N |
V |
A |
P | |
|
N | |||||
|
F= |
V |
+1 |
-1 |
+1 |
-1 |
|
A |
-1 |
+1 |
+1 |
-1 | |
|
P |
+1 -1 |
+1 -1 |
+1 -1 |
-1 +1 |
(20)
I = ( 1 0 P = ( 0 0 P = ( 0 -i P = ( 0 -0l ),(21)
F can be expressed as
F = ( +Iσ- +σ3 -,I-+і’3 ) . (22)
However this does not correspond in any straightforward way to any of the Dirac
matrices (see for example Bjorken and Drell (1965) [4] page 378) in standard
representations.
5 Ultrametric Approach to Government
Recall the following definitions in Haegeman [13]:
13