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NODAL STRUCTURE AND THE PARTITIONING OF EQUIVALENCE CLASSES
Author(s) -
Fields Lanny,
WatanabeRose Mari
Publication year - 2008
Publication title -
journal of the experimental analysis of behavior
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.75
H-Index - 61
eISSN - 1938-3711
pISSN - 0022-5002
DOI - 10.1901/jeab.2008-89-359
Subject(s) - equivalence class (music) , nodal , class (philosophy) , functional equivalence , equivalence (formal languages) , mathematics , interchangeability , equivalence relation , discrete mathematics , combinatorics , computer science , artificial intelligence , biology , linguistics , philosophy , anatomy , programming language
By definition, all of the stimuli in an equivalence class have to be functionally interchangeable with each other. The present experiment, however, demonstrated that this was not the case when using post‐class‐formation dual‐option response transfer tests. With college students, two 4‐node 6‐member equivalence classes with nodal structures of A→B→C→D→E→F were produced by training AB, BC, CD, DE' and EF. Then, unique responses were trained to the c and D stimuli in each class. The responses trained to c generalized to B and A, while the responses trained to D generalized to E and F. Thus, each 4‐node 6‐member equivalence class was bifurcated into two 3‐member functional classes: A→B→C and D→E→F, with class membership precisely predicted by nodal structure. A final emergent relations test documented the intactness of the underlying 4‐node 6‐member equivalence classes. The coexistence of the interchangeability of stimuli in an equivalence class and the bifurcation of such a class in terms of nodal structure was explained in the following manner. The conditional discriminations that are used to establish a class also imposes a nodal structure on the stimuli in the class. Thus, the stimuli in the class acquire two sets of relational properties. if the format of a test trial allows only one response option per class, responding on those trials will be in accordance with class membership and will not express the effects of nodal distance. if the format of a test trial allows more than one response option per class, responding on those trials will be determined by the nodal structure of the class. Thus, the relational properties expressed by the stimuli in an equivalence class are determined by the discriminative function served by the format of a test trial.

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