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TItis book is the joint problem of a thinker, Lehrer, and a mathematician, Wagner. The book is, subsequently, divided right into a main half written by Lehrer, which is primarily philosophical, and a second half written by Wagner that is primarily formal. The authors have been, however, influenced by each other all by way of. Our book articulates an idea of rational consensus in science and society. The thought is utilized to politics, ethics, science, and language. We begin our exposition with an elementary mathematical model of consensus developed by Lehrer in a set of articles [1976a, 1976b, 1977, 1978]. Chapter three incorporates supplies from . Lehrer formulated the elementary model when he was a Fellow of the Center for Superior Study in the Be havioral Sciences, Stanford, in 1973 with the invaluable mathematical assist of Package deal Efficient, Gerald Kramer and Lionel McKenzie. Within the summertime of ance 1977, Lehrer and Wagner met on the Center in a Summer time time Seminar on Freedom and Causality supported by the Andrew W. Mellon Foundation. Wagner study the manuscript of Lehrer  and subsequently solved some mathematical problems with the elementary model. After discussions of philosophical prob lems associated to that model, Wagner developed the foundations for the extended model. These outcomes have been reported in Wagner [1978, 1981a].
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