HIERARCHIES OF DESCRIPTIVE LEVELS IN PHYSICAL THEORY.
CAMBRIDGE LANGUAGE RESEARCH UNIT (ENGLAND)
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It is shown that if we attempt to build up a mathematical system for the description of physical phenomena, on the assumption that the essential observations are two-valued, so that the appropriate algebra is the field of char acteristic two, we are led to formulate a hierarchical system. The principal entities in this system are matrices over the field J2 whose orders increase in successive levels. A rule for constructing the various levels of the hierarchy is given, and it is shown that in non-trivial cases the number of levels is always finite. Author