Items related to Mathematical Analysis Of Logic
Synopsis
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.
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Book Description
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.
Synopsis
George Boole is known as the first logician to apply algebraical methods to logic successfully. His work, first published in 1847, laid the foundations for what is known today as Boolean algebra and the propositional calulus. Written in response to the altercation between Sir William Hamilton and Augustus de Morgan over the quantification of the predicate within syllogistic theory, its innovations led other logicians, among them William Stanley Jevons, John Venn, Charles Sanders Pierce and Ernst Schroder, to refine and develop Boole's system. In turn, their efforts were incorporated by Alfred North Whitehead and Bertrand Russell in the system of "Principia Mathematica".
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