Excerpt from Symbolic Logic and Its Applications
This little volume may be regarded as the final concentrated outcome of a series of researches begun in 1872 and continued (though with some long breaks) until to-day. My article entitled "Probability Notation No. 2," which appeared in 1872 in the Educational Times, and was republished in the mathematical "Reprint" contains the germs of the more developed method which I afterwards explained in the Proceedings of the London Mathematical Society and in Mind. But the most important developments from the logical point of view will be found in the articles which I contributed within the last eight or nine years to various magazines, English and French. Among these I may especially mention those in Mind and in the Athenœum, portions of which I have (with the kind permission of these magazines) copied into this brief epitome.
Readers who only want to obtain a clear general view of symbolic logic and its applications need only attend to the following portions:1 to 18, 22 to 24, 46 to 53, g 76 to 80, 112 to 120, 144 to 150.
Students who have to pass elementary examinations in ordinary logic may restrict their reading to 1 to 18, 46 to 59, 62 to 66, 76 to 109, 112.
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Paperback. Condition: New. Print on Demand. This book presents a new approach to symbolic logic, one that seeks to simplify and broaden the applications of this often-considered complex and abstruse subject. The author's system breaks away from traditional approaches by emphasizing the flexibility of symbols and the centrality of the complete statement as the fundamental unit of reasoning. By drawing inspiration from the evolution of human language, the book demonstrates how statements, even in their most primitive forms, can be analyzed and manipulated using a consistent symbolic notation. The text delves into a range of topics, from the definition of symbols and the classification of propositions to the logic of functions and its application to grammar. The author also tackles paradoxes that arise from the ambiguity of everyday language and explores the concept of statements with multiple degrees of truth, offering a nuanced understanding of certainty, possibility, and probability. The book's final chapters focus on the calculus of limits and its applications in both elementary and advanced mathematics, illustrating the power of symbolic logic to solve complex problems in diverse fields. Through its innovative approach and practical examples, this book offers a compelling and accessible introduction to symbolic logic, revealing its potential to unlock deeper insights and provide new tools for reasoning and problem-solving. 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. Seller Inventory # 9781330221617_0
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