The Mathematical Analysis of Logic (Classic Reprint): Being an Essay Towards a Calculus of Deductive Reasoning: Being an Essay Towards a Calculus of Deductive Reasoning (Classic Reprint) - Softcover
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A bold rethinking of logic, treating deductive reasoning as a calculable system of symbols.
In this work, logic is shown as a branch of mathematical analysis. The author argues that propositions can be expressed exactly with symbolic rules, and that their meaning comes from how the symbols combine, not any fixed interpretation of their signs. The book aims to establish a Calculus of Logic that uses general, well‑defined laws to derive conclusions, much like ordinary mathematics does with numbers.
Readers are guided through how transparent symbolism can model syllogisms, propositions, and logical inferences. The text links logic to language, showing how mental operations can be formalized, tested, and extended to broader mathematical ideas. It presents a systematic method for converting complex logical problems into equations and solving them with rigor.
- Learn how logical propositions can be turned into exact equations and manipulated with general rules.
- See how syllogisms fit into a broader algebra of symbols, including cases with and without a middle term.
- Explore how the method aims to express universal conclusions, multiple premises, and hypothetical statements.
- Understand the link between logic, language, and mathematical analysis, with an eye toward wide applications.
Ideal for readers interested in the foundations of logic, mathematical analysis, and the philosophy of reasoning.
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The Mathematical Analysis of Logic (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book boldly challenges the conventional understanding of logic, arguing that it is not simply a tool for analyzing arguments but a system of thought with a unique mathematical foundation. The author, drawing on the principles of symbolic algebra, proposes a new approach to logic where propositions are expressed as equations and logical inferences are derived through mathematical processes. By exploring the laws of mental operations and their symbolical representation, the author demonstrates that logic possesses its own distinct mathematical framework, akin to geometry. This innovative perspective, grounded in the belief that logic is intimately connected with language and the workings of the human mind, seeks to expand the scope and application of this ancient discipline beyond the traditional Aristotelian canons. The book delves into the nature of propositions, conversion, and syllogisms, revealing a deeper structure and underlying principles of reasoning that have the potential to revolutionize our understanding of thought itself. This groundbreaking work paves the way for a more profound and nuanced understanding of the human mind's ability to reason and the universal laws that govern it. 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 9781440066429_0
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The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning (Classic Reprint)
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Paperback. Zustand: Brand New. 90 pages. 9.00x6.00x0.21 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1440066426
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Zustand: New. KlappentextrnrnExcerpt from The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive ReasoningThat which renders Logic possible, is the existence in our minds of general notions, - our ability to conceive of a c. Bestandsnummer des Verkäufers 119976390
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