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An attempt to show how digraph-theory may be utilized in developing a soc network-theory, esp in the field of local power & influence. Some of the ways are indicated in which digraph-theory, which serves as a descriptive-explicative mathematical model, can be used to analyze componenets of theory of local power. Power is conceptualized as a system of SR. This presupposes in every local community a certain network of exchange ties. A mathematical description is sought of some of the properties of such a power-network. A mathematical model is used in the sense of a collection of definitions. The theory of graphs as a mathematical model in the study of local power configurations is, at least in the beginning, a descriptive theory of power structures. In a descriptive model based on the theory of graphs the power configuration (made of local influentials & the set of relationships among them) is conceptualized as a graph (a directed, possibly valued, multi-graph). When this is done, theorems about the graph, which is assumed to be isomorphic to the power configuration, can be translated into corresponding statements about the power structure. In this context the validation of such statements is a purely logical validation, a consequence of the assumed isomorphy between the graph & the power configuration. This descriptive approach is presented here. 27 Figures. Modified HA.

J. K. De Vree's "A Theory of Human Behaviour and of the Political Process" (see SA 26:2/78J2195) is criticized. The behavior model offered is faulted on the grounds that it is inconsistent & that it is difficult if not impossible to interpret. That the model is inconsistent is easy to see, thanks to its formal presentation. This criticism might not be very serious, due to the fact that it may be remedied through some small adjustments. The author's own interpretation of his model is not congruent with it. In particular, formulae containing variables that range over both cardinal & ordinal numbers seem impossible to interpret. It is concluded that the problems noted are due to too high a level of generality being sought. In Een reactie op De Vree's 'A Theory of Human Behaviour and of the Political Process' (A Reaction to De Vree's 'A Theory of Human Behavior and of the Political Process'), G. P. de Bruin argues that De Vree's theory is empty of empirical significance, & the theory's weakness can be traced to its mathematical axiomatic foundation. It is argued that the set theoretical concepts of ordinal & cardinal numbers have been misinterpreted, & that the whole problem of measurement in social sciences is merely 'axiomatized away'. In Een ordinale algebra en empirische theorie: een antwoord op Kritiek (An Ordinal Algebra and Empirical Theory: An Answer to Criticism), J. K. De Vree concedes that the theory is so far empty, & that the nature of its relationship to empirical data remains an unsolved problem. This is the case with all general theories & does not constitute a valid objection. It is further argued that the proposed axiomatization is nothing more than a systematization of the system of numbers & relations used in actual empirical research, & that far from axiomatizing away the measurement problem, a systematic account is given of the number system without which measurement would not be possible. A. Orianne.

It is assumed that it is the purpose of a theory to explain something. An explanation is an answer to a question of the linguistic form 'why 7'; its logical structure is of the following form: L1,....Ln That is, on the basis of a certain set of postuC1 ....Cn lates, or 'laws,' (L1,....Ln), & a set of given, observed 'circumstances' (C1,....Cn), 'E', the conclusion is deduced. Accordingly, the character of an explanation & consequently, of J a theory, is deductive. II - As regards the structure of a theory several elements should be distinguished. (1) The logical mathematical, or probabilistic system in which the theory is formulated. (2) The calculus which may be conceived as the axiomatic nucleus of the theory & which consists of a set of primitive concepts & postulates governing the use of the primitives. On the basis of primitives & postulates new concepts & theorems are deduced. It is to be noted that the content of the primitives (their 'meaning') consists of the way they are used within the relational structure of the calculus; that is they are defined implicitly. (3) An interpretative system of rules connecting the 'abstract' calculus with other structures of knowledge. In this way the calculus can be given cliff interpretations, which constitute models of the initial calculus. In order to explain empirical reality, there should at least be an empirical model of the calculus, that is, the calculus has to be connected with observable reality. In this case the interpretation is given by a set of 'operational definitions' as they are commonly called. It is shown that these definitions can be conceived as 'quickly decidable sentences' by means of which the empirical model can be falsified. III - The role which theory construction plays with regard to the formation of reality is indicated. Making explicit its logical structure & its empirical interpretation, theory formation leads to 'intersubjectively transmissible knowledge.' It results in the construction of a reality which transcends individual & parochial idiosyncracies & which is accessible to everybody. Of the conditions a theory should fulfill, 2 stand out: (a) it should be consistent, & (b) it should be falsifiable. Finally, it is shown that there is some ground to assume theory formation to be possible-even in the soc sci's-difficult though it may be. IPSA.