A Study on A Different Formulation of Boolean Structure

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Authors

  • Anindita Mukherjee
     Department of Philosophy, University of Kalyani. P.O.: Kalyani, Dist.: Nadia, West Bengal, Pin: 741235 ,IN
  • Kuheli Biswas
     Department of Philosophy, University of Kalyani, P.O. Kalyani, Dist. Nadia, West Bengal, Pin 741235 ,IN
  • Sanjib Kumar Datta
     epartment of Mathematics, University of Kalyani, P.O. Kalyani, Dist. Nadia, West Bengal, Pin 741235 ,IN

DOI:

https://doi.org/10.24906/isc/2018/v33/i1/181781

Keywords:

Boolean Structure, Another Formulation, Commutative Law, Associative Law.

Abstract

Logic is the main essence of human reasoning. English Scientist and Logician George Boole (1815-1864) initiated the idea of a structure which is based upon some reasoning of difference occurrence in the Universe. Professor Boole wrote a book entitled “The Laws of Thought†which was collection of his papers on such type of reasoning. In this book he formulated a structure upon the interrelationship of element. After his name the structure is known as Boolean Structure. In this paper we present a somewhat different formulation of a Boolean Structure. Further it has been shown in the paper that Associative Laws in a Boolean structure follow from the other axioms of the same i.e., in other words it may be stated that the axiom of Associative Laws in the definition of a Boolean algebra is redundant.

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Published

2019-01-01

How to Cite

Mukherjee, A., Biswas, K., & Datta, S. K. (2019). A Study on A Different Formulation of Boolean Structure. Indian Science Cruiser, 33(1), 25–29. https://doi.org/10.24906/isc/2018/v33/i1/181781

Issue

Vol 33, No. 1, January 2019

Section

Search & Survey
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References

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F.M. Brown, Boolean Reasoning, ISBN 978-14757-2078-5.

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G. Boole, 1847. Mathematical analysis of logic (Cambridge and London); repr. In studies in logic and probabilities ed. R. Rhees (London 1952).

G. Boole, 1854. The Laws of Thought ( London and Cambridge ); repr. as Collected Logical Works. Vol. 2 , ( Chicago and London ; Open Court, 1940).

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K Biswas, and A Mukherjee, 2018, An approach made by female logician to the deductive system in Boolean Logic, Communicated.

A Mukherjee, and K Biswas, 2018, On Boolean Logic as an ordered pair of Boolean Structure and its Filter, Communicated.