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The Philosophical Presuppositions of Mathematical Logic
Paperback
PhilosophyGeneral MathematicsLogic
ISBN13: 9781025907192
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 110
Weight: 0.36
Height: 0.23 Width: 6.14 Depth: 9.21
Language: English
The Philosophical Presuppositions of Mathematical Logic is a rigorous exploration into the foundational principles that underpin the field of symbolic and mathematical logic. Written by Harold R. Smart, this scholarly work examines the intersection of traditional philosophical inquiry and the burgeoning mathematical rigor of the early 20th century. Smart delves into the underlying assumptions and conceptual frameworks that allow mathematical logic to function, questioning the nature of logical truth, the role of intuition, and the relationship between formal systems and reality.
The book provides a critical analysis of the development of logic, addressing the theories of prominent thinkers and the evolution of logical thought. By investigating the presuppositions necessary for a mathematical approach to reasoning, Smart offers readers a deep dive into the metaphysical and epistemological status of logical laws. This work is an essential resource for students and scholars of philosophy, mathematics, and the history of logic, providing a necessary bridge between abstract mathematical formalism and traditional philosophical investigation. The Philosophical Presuppositions of Mathematical Logic remains a significant contribution to the understanding of how we structure thought and validate the fundamental principles of reasoning.
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.
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