Ultrametric Distance in Syntax

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

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

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)

I = ( 1 0 P = ( 0 0 P = ( 0 -i P = ( 0 -⁰_l )^,(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

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