The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning (Cambridge Library Collection - Mathematics)

Self-taught mathematician George Boole (1815-1864) published a pamphlet in 1847 - The Mathematical Analysis of Logic - that launched him into history as one of the nineteenth century's most original thinkers. In the introduction, Boole closely adheres to two themes: the fundamental unity of all science and the close relationship between logic and mathematics. In the first chapter, he examines first principles of formal logic, and then moves on to Aristotelian syllogism, hypotheticals, and the properties of elective functions. Boole uses this pamphlet to answer a well-known logician of the day, Sir William Hamilton, who believed that only philosophers could study 'the science of real existence', while all mathematicians could do was measure things. In essence, The Mathematical Analysis of Logic humbly chides Hamilton and asks him to rethink his bias. Boole is compelling reading for anyone interested in intellectual history and the science of the mind. Cover......Page 1 Frontmatter......Page 6 Preface......Page 8 Mathematical Analysis of Logic......Page 10 First Principles......Page 22 Of Expression and Interpretation......Page 27 Of the Conversion of Propositions......Page 33 Of Syllogisms......Page 38 Of Hypotheticals......Page 55 Properties of Elective Functions......Page 67 Of the Solution of Elective Equations......Page 77 Errata......Page 90 In 1847, mathematician George Boole published a pamphlet, The Mathematical Analysis of Logic, which launched him into history as one of the nineteenth century's most innovative thinkers. This work was the first to construct a mathematics of logic and the human intellect, establishing the close relationship between mathematics and philosophy. Cover 1 Frontmatter 6 Preface 8 Mathematical Analysis of Logic 10 First Principles 22 Of Expression and Interpretation 27 Of the Conversion of Propositions 33 Of Syllogisms 38 Of Hypotheticals 55 Properties of Elective Functions 67 Of the Solution of Elective Equations 77 Errata 90 9781108001014 Cambridge Library Collection - Mathematics