intertwined, formal concepts of singularity, gender classification
(neuter), and case (subjective-objective). The complete grammatical
formula for _cor_ is, then, A + (0) + (0) + (0), though the merely
external, phonetic formula would be (A)--, (A) indicating the abstracted
"stem" _cord-_, the minus sign a loss of material. The significant thing
about such a word as _cor_ is that the three conceptual limitations are
not merely expressed by implication as the word sinks into place in a
sentence; they are tied up, for good and all, within the very vitals of
the word and cannot be eliminated by any possibility of usage.

Other complications result from a manifolding of parts. In a given word
there may be several elements of the order A (we have already symbolized
this by the type A + B), of the order (A), of the order b, and of the
order (b). Finally, the various types may be combined among themselves
in endless ways. A comparatively simple language like English, or even
Latin, illustrates but a modest proportion of these theoretical
possibilities. But if we take our examples freely from the vast
storehouse of language, from languages exotic as well as from those that
we are more familiar with, we shall find that there is hardly a
possibility that is not realized in actual usage. One example will do
for thousands, one complex type for hundreds of possible types. I select
it from Paiute, the language of the Indians of the arid plateaus of
southwestern Utah. The word
_wii-to-kuchum-punku-rügani-yugwi-va-ntü-m(ü)_[5] is of unusual length
even for its own language, but it is no psychological monster for all
that. It means "they who are going to sit and cut up with a knife a
black cow (_or_ bull)," or, in the order of the Indian elements,
"knife-black-buffalo-pet-cut up-sit(plur.)-future-participle-animate
plur." The formula for this word, in accordance with our symbolism,
would be (F) + (E) + C + d + A + B + (g) + (h) + (i) + (0). It is the