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Kurt Gödel: Collected Works: Volume V
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century. These collected works form the only comprehensive edition of Gödel's work available and are designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
The Artists of De Stijl
This guide summarizes and evaluates the available literature concerning the Dutch artistic movement De Stijl, which was headed by art critic and painter Theo van Doesburg and was comprised of such architects and artists as J.J.P. Oud, Piet Mondrian, Rovbert van 't Hoff and Georges Vantongerloo. The loose-knit group took its name from the avant garde journal they first published in October 1917: De Stijl (The Style). Although it was limited to Holland, De Stijl promoted ideas about a universal art, combining tenets of theosophy, an holistic view of the oneness of all things, including arts and culture, and socialism. This bibliography examines publications that deal with the movement and with affiliated groups and individual members. Art historians and scholars of modern and of Dutch art and architecture will appreciate this comprehensive tool for further research. Within individual sections for the movement and for its members, entries are chronologically arranged with separate categories for books, monographs and catalogs, and periodicals. A final section analyzes and presents the contents of the journal De Stijl.
The Politics of Heritage in Indonesia
Presents a new approach to heritage formation in Asia, conveying the power of the material remains of the past.
Logic, Methodology and Philosophy of Science III
Logic, Methodology and Philosophy of Science III
Heyting Algebras
This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between...
Hilbert's Programs and Beyond
David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.
Philosophy of Mathematics
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathe...
Logic's Lost Genius
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on...
