Excerpt from The Substitution of Similars: The True Principle of Reasoning, Derived From a Modification of Aristotle's Dictum
IN this small treatise I wish to submit to the judgment of those interested in the progress of logical science a notion which has often forced itself upon my mind during the last few years. All acts of reasoning seem to me to be different cases of one uniform process, which may perhaps be best described as the substitution of simz'lars. This phrase clearly expresses that familiar mode in which we continually argue by analogy from like to like, and take one thing as a representative of another. The chief difficulty consists in showing that all the forms of the old logic, as well as the fundamental rules of mathematical reasoning, may be explained upon the same principle; and it is to this difficult task I have devoted the most attention.
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Paperback. Condition: New. Print on Demand. This book lays bare the central mistake of Aristotelian reasoning that has hindered logic's development for millennia. The author proposes a single, simple principle to replace Aristotle's erroneous axiom, and this leads to a revolution in logic. The author draws surprising connections to mathematics, showing the two abstract sciences to share perfect points of contact. The traditional syllogism is revealed to lack a vital cornerstone, and an improved system is created in its stead resulting in many novel forms of reasoning. The author's view constitutes a complete, radical, and potentially paradigm-shifting reformulation of logical science, opening the door to advances that will impact AI, computation, and the very nature of human thought itself. 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 # 9781334449239_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334449239
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334449239
Quantity: 15 available