The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution.
Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schr der, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt G del conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later.
Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Автор: Masataka Nakazawa; Kazuro Kikuchi; Tetsuya Miyazak Название: High Spectral Density Optical Communication Technologies ISBN: 3642264417 ISBN-13(EAN): 9783642264412 Издательство: Springer Рейтинг: Цена: 19589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers the state-of-the-art in optical communication technology. Main topics treated are electronic and optical devices, digital signal processing including forward error correction, modulation formats and transmission and application systems.
Описание: The book describes the major physical theories of comets in the past two millennia. It describes the evolution of ideas about the nature, position, motion and constitution of comets. Unlike many works on the subject, this one focuses on details of each theory.
Автор: Rawdon-Smith Название: Theories of Sensation ISBN: 110767848X ISBN-13(EAN): 9781107678484 Издательство: Cambridge Academ Рейтинг: Цена: 4275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originally published in 1938, this book presents a discussion of auditory and visual sensation. The text focuses mainly on the nature of the perceptual process. As Rawdon-Smith notes in the preface, `I wish to be concerned more with the mechanism whereby our sensations arise than with what our sense organs can do.`
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