324 VI. ON PSYCHOPHYSIOLOGY
5) Structural analysis of languages as fundamental; making
6) The only possible content of 'knowledge' structural, and
7) All science becomes a search for the unknown structure of the empirical world on all levels, and the matching of this unknown structure with the potentially known structure of languages; so that
8) All knowledge is hypothetical, in which
9) The most important facts must be negative. When the structures do not match, then we learn something quite definite about the empirical structures.
10) All predictability becomes possible because of similarity of structure; and so definitely making
11) All possible aims and quests of science uniquely structural; necessitating
12) Unique methods of translation of dynamic into static, and vice versa, in order to cover the structural exigency of both the dynamic world and the static languages.
13) Such unique methods of translation are given in the differential calculus and four-dimensional geometries, in which
14) What in a four-dimensional language is structure becomes in three-dimensional language 'importing time' function; showing once more that
15) Structural considerations are not only a modern necessity, but also the most creative and helpful for the future development of science and man, and justifying the above assertions, with the setback that
16) Full 1933 structural analysis, being one of the, or perhaps the, highest abstraction of this date, the mastering of that language may represent some difficulties.
The reader must be reminded (see, for details, Part VII) that the terms 'structure', 'function'., are multiordinal terms with many meanings, and so that they have no general meaning apart from context, but have definite meaning in each context. Without this realization of the multi-ordinality of terms, the statement above could not be made, for it is a structural statement about languages.
As an example of the immense and inherent importance of considerations of four-dimensional order, the following psychological experiment for which Doctor Harry Helson has suggested lately the name of Tau effect, is useful.3
If we stimulate three spots of the skin by touching them lightly with the end of a pencil in quick succession, and if the distance between the first and the second spots is, say, 20 mm., and that between the second and the third is 10 mm., but the 'time' interval between the second and