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Logica E Algebra De Boole Download Pdf




This book originally published in 1913, the year of his death, is the one in which Boole published his last work, A Treatise on Universal Algebra. It consists of two articles, one on logic, and the other on algebra, and these two articles were published separately in the same year, in the Proceedings of the London Mathematical Society. The first article was presented as a lecture to the London Mathematical Society, in March, the second as a paper to the Society in April. From now on we will refer to these articles as Boole's two contributions to mathematics. This book was the joint work of Boole and his friend Augustus De Morgan. De Morgan was an active member of the London Mathematical Society, and he had been entrusted by the Society to organize a new journal, The London Mathematical Gazette, which was eventually published from 1872 to 1883. Thus, Boole and De Morgan were not only friends, but they collaborated together in the preparation of this book. The original title of the book is Boole's "Lectures on the Theory of Logical Functions". In a late letter from De Morgan, he suggests that we use the simpler title The Logic of Boole. However, this title has also been used for a book by Gregory A. Markopoulou. This is why we will use the name Boole's two contributions to mathematics, or simply Boole's two articles. Chapter One - Introduction In this article Boole considers the logic, and its symbolic representation, of functions. Such functions are functions from the propositional structure to the set of natural numbers. Here the propositional structure is a set of sentences and, in Boole's algebra, the logical consequence of the set of sentences (the propositions of the logic) is the set of natural numbers. This is called the propositional calculus. In a footnote to the first page, Boole mentions that the idea of such functions came from John Stuart Mill, in his On Liberty (1859). Boole gives a number of examples of such functions. In one of these, Boole considers the sentence "if it rains, the sun will shine". The function applied to this sentence is the number of the number of drops of rain. Boole proves that this function is a logical function. In this article, Boole focuses on these functions, and tries to characterize the nature of logical functions. He defines a logic as a certain system of functions. These functions are called logical functions, as they refer to the notions of the logic



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Logica E Algebra De Boole Download Pdf

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