The present paper presents a development of personal substructures somewhat analogous to the development of personal structures based upon the relation of judgments to the environment in the first paper of this series. In the present paper within the concept of personal structures, several mathematical concepts have been interpreted. These will be needed in the third and final paper in which we will explore in greater detail the nature of the relationship of judgments to the environment.
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References
1.
ArnoldB. H.Logic and Boolean algebra.Englewood Cliffs, N. J.: Prentice-Hall, 1962.
2.
FestingerL.A theory of cognitive dissonance.Evanston, Ill.: Row, Peterson, 1957.
3.
MacLaneS.Some recent advances in algebra. In AlbertA. A. (Ed.), Studies in modern algebra.Baltimore: The Mathematical Association of America, 1963. Pp. 9–34. (a)
4.
MacLaneS.Some additional advances in algebra. In AlbertA. A. (Ed.), Studies in modern algebra.Baltimore: The Mathematical Association of America, 1963. Pp. 35–58. (b)
5.
McCoyN. H.Rings and ideals.Baltimore: The Mathematical Association of America, 1948.
ShellyM. W.A topological approach to the measurement of social phenomena. In CriswellJ. H.SolomonH., & SuppesP. (Eds), Mathematical methods in small group processes.Stanford, Calif.: Stanford Univer. Press, 1962. Pp. 305–324.
8.
ShellyM. W.Personal structures: I. A basis for personal structures. Psychol. Rep., 1963, 13, 3–17.
9.
StoneM. H.The theory of representations for Boolean algebras. Trans. Amer. Math. Soc., 1936, 40, 37–111.
10.
StoneM. H.Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. Soc., 1937, 41, 375–482.
