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02640aam a2200325Ii 4500 001 EC9CFEBE939111E7A673E95E97128E48 003 SILO 005 20170907010029 008 170628t20172017njua b 001 0 eng d 020 $a 0691174172 020 $a 9780691174174 035 $a (OCoLC)999357238 040 $a TOH $b eng $e rda $c TOH $d JHE $d YDX $d BTCTA $d BDX $d SILO 050 4 $a T58.5 $b .V66 2017 082 04 $a 004.09 $2 23 100 1 $a Von Plato, Jan, $e author. 245 14 $a The great formal machinery works : $b theories of deduction and computation at the origins of the digital age / $c Jan von Plato. 264 1 $a Princeton, New Jersey : $b Princeton University Press, $c [2017] 300 $a viii, 377 pages : $b illustrations ; $c 24 cm 504 $a Includes bibliographical references and index. 520 $a 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 SchroÌder, 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 GoÌdel 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.--Jacket. 650 0 $a Information technology $x History. 650 0 $a Computers $x History. 650 7 $a Computers. $2 fast $0 (OCoLC)fst00872776 650 7 $a Information technology. $2 fast $0 (OCoLC)fst00973089 655 7 $a History. $2 fast $0 (OCoLC)fst01411628 941 $a 1 952 $l USUX851 $d 20171003032337.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=EC9CFEBE939111E7A673E95E97128E48 994 $a 92 $b IWAInitiate Another SILO Locator Search