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.
Описание: rather the books present the concepts and methods now available in automated deduction in a form which can be easily accessed by scientists working in applications outside of the field of deduction.
Описание: BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us.
Автор: Andrzej Indrzejczak Название: Natural Deduction, Hybrid Systems and Modal Logics ISBN: 9048187842 ISBN-13(EAN): 9789048187843 Издательство: Springer Рейтинг: Цена: 36197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction.
Автор: Luiz Carlos Pereira; Edward Hermann Haeusler; Vale Название: Advances in Natural Deduction ISBN: 9402406875 ISBN-13(EAN): 9789402406870 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of original papers by celebrated figures in the field of natural deduction honors the ground-breaking work of Swedish logician Dag Prawits. It provides a wide-ranging survey of the latest research in proof theory and its many applications.
Автор: David Basin; M. D`Agostino; Dov M. Gabbay; Se?n Ma Название: Labelled Deduction ISBN: 9401057818 ISBN-13(EAN): 9789401057813 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature.
Автор: Luca Vigan? Название: Labelled Non-Classical Logics ISBN: 1441949623 ISBN-13(EAN): 9781441949622 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis.
Автор: Luiz Carlos Pereira; Edward Hermann Haeusler; Vale Название: Advances in Natural Deduction ISBN: 9400775474 ISBN-13(EAN): 9789400775473 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of original papers by celebrated figures in the field of natural deduction honors the ground-breaking work of Swedish logician Dag Prawits. It provides a wide-ranging survey of the latest research in proof theory and its many applications.
Автор: F. Stadler Название: Induction and Deduction in the Sciences ISBN: 9048165555 ISBN-13(EAN): 9789048165551 Издательство: Springer Рейтинг: Цена: 27245.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The volume contains contributions on methods of the sciences, especially on induction, deduction, abduction, laws, probability and explanation, ranging from logic, mathematics, natural to the social sciences.
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