This chapter discusses how Boole cast logic into algebraic form. Boole was interested in symbolic analysis years before he wrote his Laws of Thought. In fact, others before him—in particular, the German mathematician Gottfried Wilhelm Leibniz (1646–1716)—had pursued a similar goal of reducing logic to algebra, but it was Boole who finally succeeded. What Boole described in his books is not exactly what modern users call Boolean algebra, but nevertheless it is from Boole that the modern presentation springs. The chapter first describes the essence of what Boole did using the language of sets. It then discusses Boole's algebra of sets, examples of Boolean analysis, and visualizing Boolean functions.
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