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Paths of Cultural Systems

Owner and Operator, Ballonoff Consulting, 9307 Kings Charter Drive, Richmond, VA 23116, USA
Entropy 2018, 20(1), 8;
Received: 6 November 2017 / Revised: 9 December 2017 / Accepted: 17 December 2017 / Published: 25 December 2017
(This article belongs to the Special Issue Quantum Probability and Randomness)
A theory of cultural structures predicts the objects observed by anthropologists. We here define those which use kinship relationships to define systems. A finite structure we call a partially defined quasigroup (or pdq, as stated by Definition 1 below) on a dictionary (called a natural language) allows prediction of certain anthropological descriptions, using homomorphisms of pdqs onto finite groups. A viable history (defined using pdqs) states how an individual in a population following such history may perform culturally allowed associations, which allows a viable history to continue to survive. The vector states on sets of viable histories identify demographic observables on descent sequences. Paths of vector states on sets of viable histories may determine which histories can exist empirically. View Full-Text
Keywords: quantum logic; groups; partially defined algebras; quasigroups; viable cultures quantum logic; groups; partially defined algebras; quasigroups; viable cultures
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Ballonoff, P. Paths of Cultural Systems. Entropy 2018, 20, 8.

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