Excerpt from The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning
That which renders Logic possible, is the existence in our minds of general notions, - our ability to conceive of a class, and to designate its individual members by a common name.
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( 20 ) OF EXPRESSION AND INTERPRETATION. A Proposition iB a sentence which either affirms or denies, as, All men are mortal, No creature is independent. A Proposition has necessarily two terms, as men, mortal; the former of which, or the one spoken of, h culled the subject; the latter, or tha! which is affirmed or denied of the subject, the predicate. These are connected together by the copula w, or m not, or by some other modification of the substantive verb. The substantive verb is the only verb recognised in Logic; all others are resolvable by means of the verb to be and a participle or adjective, e. g. " The Romans conquered"; the word conquered U both copula and predicate, being equivalent to "were (copula) victorious" (predicate). A Proposition must either be affirmative or negative, and must be also either universal or particular. Thus we reckon in ail, four kinds of pure categorical Propositions. 1st. Universal-affirmative, usually represented by A, Ex. All Xs
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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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