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Principles of Mathematical Logic
Hardcover
FictionGeneral MathematicsLogic
ISBN13: 9781025419701
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 194
Weight: 0.99
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
Principles of Mathematical Logic provides a foundational and rigorous exposition of the principles that underpin symbolic logic and its vital applications within the field of mathematics. Written by the legendary mathematician David Hilbert and his collaborator Wilhelm Ackermann, this work stands as one of the most influential texts in the history of modern logic, serving as a primary source for the development of formal mathematical thought.
The book systematically develops the propositional calculus and the predicate calculus, offering precise definitions and exploring the essential structural properties of logical systems. Hilbert and Ackermann examine the critical concepts of consistency and completeness, laying the theoretical groundwork for what would become known as Hilbert's program. By formalizing the rules of deduction and the structure of mathematical proofs, the authors transformed logic from a branch of philosophy into a robust mathematical discipline.
This text is an essential resource for students and scholars of mathematics, philosophy, and computer science. Its clear presentation of logical operations and the introduction of first-order logic have had a lasting impact on the evolution of mathematical foundations and the eventual rise of computational theory. It remains a cornerstone for anyone studying the development of rigorous logical analysis and the quest for a unified system of mathematical truth.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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