AN AXIOMATIC CONCEPTUAL FRAMEWORK FOR ASSOCIATION THEORY.
LIBRASCOPE DIV GENERAL PRECISION INC GLENDALE CALIF
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A partially developed axiomatic system, called the SSF frame state-space-function framework, is described, and is intended for use in formulating a general theory of psychological phenomena, particularly a theory based on associationist concepts. The chief primitive entities of the system are states, moments of time, and occurrences of a state at various moments of time. A class of objects, bases, is introduced for particular groups of states to enable the empirical interpretation of a real object that can have or be in various observed states at various times. The base of a space is a unique object there cannot be two or more bases in the same space and, by definition, the base of a space cannot be in two states at the same moment. A relation called an alinement enables consideration of the relations between the spaces of x and y. The framework is deterministic all functions are divided into formal and causal, the latter derived from the former by means of pairing and special interpretations. A main dichotomy of causal functions is that of first-order vs. second-order types. The notion of a sequential deterministic system is developed that is consistent with the conceptual framework of state spaces and causal functions. The fundamental temporal property of a causal connection, the propagation delay, is introduced and related with the delays of causal functions. The structure of a sequential function is characterized by autopaths in the co-domain corresponding to subsets of the domain, namely those subsets defined by points in A for a function fAXB - B. Author