Excerpt from The Algebra of Logic
The primary significance of a symbolic calculus seems to lie in the economy of mental effort which it brings about, and to this is due the characteristic power and rapid development of mathematical knowledge. Attempts to treat the operations of formal logic in an analogous way had been made not in frequently by some of the more philosophical mathematicians, such as leibniz and lambert; but their labors remained little known, and it was boole and DE morgan, about the middle of the nineteenth century, to whom a mathematical - though of course non-quantitative - way of regarding logic was due. By this, not only was the traditional or Aristotelian doctrine of logic reformed and completed, but out of it has developed, in course of time, an instrument which deals in a sure manner with the task of investigating the fundamental concepts of mathematics - a task which philosophers have repeatedly taken in hand, and in which they have as repeatedly failed.
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Paperback. Zustand: New. Print on Demand. This book introduces readers to mathematical logic, a discipline that serves as a theoretical foundation for the development of mathematics. The author was the first to fully develop the algebra of logic, which this book presents as a simple and effective tool for logical reasoning akin to algebra. A distinct feature of the book is its treatment of propositions, for which it offers two interpretations: one where propositions represent sets and one where they represent statements. In addition to foundational principles such as the principle of identity and principle of the syllogism, the book explores more advanced topics such as negation, equivalence, contradiction, and existence. Through these concepts, the author reveals the deep connection between logic and mathematics, showcasing how mathematical logic provides a systematic and comprehensive framework for understanding the essential principles of reasoning. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330433492_0
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