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      The basis of Boole's logical calculus

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          Abstract

          In the present paper we aim to provide a thoughtful and exegetical account of the fundamental ideas at the basis of Boole's theory, with the goal of developing our investigation strictly within the conceptual structure originally introduced by Boole himself. In particular, we will focus on the meaning and the usefulness of the methods of the developments. We will also consider a slight variation of it that will allow us to to present in a new light some important and ingenuous aspects of Boole's calculus examined by the author in his work. Finally, a large attention is devoted to the analysis of the 'neglected' logical connective of division.

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          George Boole's Deductive System

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            A reassessment of George Boole's theory of logic.

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              Boole's Algebra Isn't Boolean Algebra

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                Author and article information

                Journal
                04 October 2017
                Article
                1710.01542
                6ab7bec2-8d28-43ab-bbd2-70ef8b8d4075

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                math.LO

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