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Behara, Rinku
- A Brief Study on Boolean Logic as a Dual Analogue of an Ideal
Abstract Views :368 |
PDF Views:5
Authors
Affiliations
1 UGC-JRF, Department of Philosophy , University of Kalyani, P.O.: Kalyani , Dist: Nadia , PIN: 741235, IN
2 Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235, IN
3 Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235., IN
1 UGC-JRF, Department of Philosophy , University of Kalyani, P.O.: Kalyani , Dist: Nadia , PIN: 741235, IN
2 Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235, IN
3 Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235., IN
Source
Indian Science Cruiser, Vol 32, No 6 (2018), Pagination: 32-35Abstract
In this paper we wish to establish a Structure termed as Quotient Boolean algebra from the view point of a filter as a dual analogue of an Ideal. Some related properties are also to be developed in this work.Keywords
Boolean Algebra , Principle of Duality, Ideal, Filter.
References
- Boolean Algebra and its Application, John Eldon Whitesitt. Dover Publication.
- Logic and Boolean Algebra, Bradford Henry Arnold, Prentice-Hall, 1962, pp. 1-144
- The Laws of Thought, George Boole, Release Date: July 19, 2017
- G. Boole, An Investigation of the Laws of Thought , Dover Publication , New York , 1958.
- G. Boole, The Laws of Thought , facsimile of 1854 edition, 1854/2003.
- Some Contribution to the Development of Modern Logic of Nineteenth Century
Abstract Views :260 |
PDF Views:4
Authors
Affiliations
1 Department of Philosophy, University of Kalyani, IN
2 Department of Philosophy, University of Kalyani. P.O.: Kalyani, Dist: Nadia, Pin:741235, West Bengal, IN
1 Department of Philosophy, University of Kalyani, IN
2 Department of Philosophy, University of Kalyani. P.O.: Kalyani, Dist: Nadia, Pin:741235, West Bengal, IN
Source
Indian Science Cruiser, Vol 33, No 5 (2019), Pagination: 47-50Abstract
The aim of this paper is to focus on some contributory works of nineteenth century which has remarked as a revolutionary period of modern logic. Modern logic starts with George Boole’s algebra of logic. This paper investigates the later revision made by the followers of Boole for the development of his system and the further periodical development of modern logic.Keywords
Aristotle’s Logic, Algebra of Logic, Modern Logic, Set Theory, Venn Diagram.References
- New World Encyclopedia, Retrieved 18:12, July 23, 2019 from https://www.newworldencyclopedia.org/entry/History_of_logic.
- New World Encyclopedia, Retrieved 18:12, July 23, 2019 from https://www.newworldencyclopedia.org/entry/History_of_logic.
- L. Haaparanta, (2009). The Development of Logic. Oxford University Press
- Ibid.
- L. Haaparanta, (2009). The Development of Logic. Oxford University Press. P-170
- I.M. Bochenski, Trans. And Edt. By Ivo Thomas. (1961) ‘A History of Formal Logic’. University of Notre Dame Press. P 287.
- J. Lukasiewicz, (1957), ARISTOTLE’S SYLLOGISTIC FROM THE STANDPOINT OF MODERN FORMAL LOGIC. Second Edition Enlarged, Oxford University Press. pp 36-37.
- This quotation is taken from Standford Encyclopedia of Philosophy. Simons, Peter, “Jan Łukasiewicz”, The Stanford Encyclopedia of Philosophy (Spring 2017 Edition), Edward N. Zalta (ed.), URL =