BCSSS

International Encyclopedia of Systems and Cybernetics

2nd Edition, as published by Charles François 2004 Presented by the Bertalanffy Center for the Study of Systems Science Vienna for public access.

About

The International Encyclopedia of Systems and Cybernetics was first edited and published by the system scientist Charles François in 1997. The online version that is provided here was based on the 2nd edition in 2004. It was uploaded and gifted to the center by ASC president Michael Lissack in 2019; the BCSSS purchased the rights for the re-publication of this volume in 200?. In 2018, the original editor expressed his wish to pass on the stewardship over the maintenance and further development of the encyclopedia to the Bertalanffy Center. In the future, the BCSSS seeks to further develop the encyclopedia by open collaboration within the systems sciences. Until the center has found and been able to implement an adequate technical solution for this, the static website is made accessible for the benefit of public scholarship and education.

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BOOLEAN ALGEBRA 2)

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The algebra corresponding to discrete (or finite) mathematics.

This algebra was introduced by the British mathematician and logician G. BOOLE in his book "An Investigation in the Laws of Thought" (1854)

J. WARFIELD resumes: "There are precisely two constants in Boolean algebra. They are 0 and 1. A Boolean variable x is an unknown that may take only the values of the constants, that is 0 or 1.

"The complement of 0 is 1, and the complement of 1 is 0. The complement of a Boolean variable x is writtenx. It is also called the "negation of x" or may be read simply as "not x" (1989, p.208).

The parts of Boolean algebra which are relevant for systemics are "… sets and partitions, orders and partial orders, binary relations and lattices…, vectors, matrices and digraphs" (Ibid)

WARFIELD develops these aspects and gives references (p.208-84). He developed his theory in notably systemic terms.

Categories

  • 1) General information
  • 2) Methodology or model
  • 3) Epistemology, ontology and semantics
  • 4) Human sciences
  • 5) Discipline oriented

Publisher

Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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