An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities (Classic Reprint)

Politics & Social Sciences

George, Boole

Philosophy

Forgotten Books

An Investigation of the Laws of Thought: On Which Are Founded the Mathematical Theories of Logic and Probabilities

Franklin Classics Trade Press

A Treatise on Differential Equations

A Treatise On Differential Equations

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

History

Before 1854 when George Boole published The Laws of Thought, the subject of 'logic' in the western world was entirely restricted to the study of the Aristotelian syllogism, which was as old as 384-322 BC. In this work, Boole introduces a sort of algebra of propositions with probability. Boole's logic forms the basis for present day Boolean

An Investigation of the Laws of Thought

Barnes&Noble Publishing,Inc.

Calculus Of Finite Differences Fourth Edition

As outspoken in his day as Richard Dawkins or Christopher Hitchens are today, American freethinker and author ROBERT GREEN INGERSOLL (1833-1899) was a notorious radical whose uncompromising views on religion and slavery (they were bad, in his opinion), women's suffrage (a good idea, he believed), and other contentious matters of his era made him a wildly popular orator and critic of 19th-century American culture and public life. As a speaker dedicated to expanding intellectual horizons and celebrating the value of skepticism, Ingersoll spoke frequently on such topics as atheism, freedom from the pressures of conformity, and the lives of philosophers who espoused such concepts. This collection of his most famous speeches includes the lectures: [ "The Gods" (1872) [ "Humboldt" (1869) [ "Thomas Paine" (1870) [ "Individuality" (1873) [ "Heretics and Heresies" (1874)

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A Treatise on the Calculus of Finite Differences

This book was originally published prior to 1923, and represents a reproduction of an important                 historical work, maintaining the same format as the original work. While some publishers have opted to                 apply OCR (optical character recognition) technology to the process, we believe this leads to                 sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and                 does not adequately preserve the historical character of the original artifact. We believe this work is                 culturally important in its original archival form. While we strive to adequately clean and digitally                 enhance the original work, there are occasionally instances where imperfections such as blurred or                 missing pages, poor pictures or errant marks may have been introduced due to either the quality of the                 original work or the scanning process itself. Despite these occasional imperfections, we have brought it                 back into print as part of our ongoing global book preservation commitment, providing customers with                 access to the best possible historical reprints. We appreciate your understanding of these occasional                 imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that                 intended by the original publisher.

Science & Math

Mathematics

RareBooksClub.com

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1872 Excerpt: ...primitive of a singular integral of a differential equation of the second order will itself be a singular solution of that equation, but a singular solution of a singular integral will in general not be a solution at all of that equation. The proof of these propositions will afford an exercise for the student. See Lagrange's Lemons sur le Calcul des Fonctions, Legem 14me of the edition of 1806, or Legon 15me of the edition of 1808. A note by Poisson on page 239 of the edition of 1808 should be consulted; it relates to the second of the above two propositions. See also Lacroix, Traits du Calcul Bifferentiel..., Tome n. pp. 382 and 390. 10. We proceed to inquire how singular integrals may be determined from the differential equation. Expressing as before the first integral involving an arbitrary constant in the form y=f(x,y,y1...ylt,c) (47), we have as the derived equation (df(x, y, y,...#„_„ c) the brackets in the second member indicating that in effecting the differentiation y, y„_2, are to be regarded as functions of x. The differential equation of the nth order is found from (48) by substituting therein, after the differentiation, for c its value in terms of x, y, yx,...y_v given by (47). The result assumes the form yn = (x,y, y,...jO (49). Hence, we have or, representing fix, y, y1...y, c), by /, dyn-t dxdcj dc' Hence, A iog%-=i (50), dx b dc K' provided that the first member be obtained from the differential equation, and the second member from one of its first integrals involving c as arbitrary constant. It is to be borne in mind that in effecting the differentiation with respect to x in the second member, we must regard y, yl,---yn-i as functions of x. Now reasoning as in Chap. vin. since a singular solution makes = 0, it makes its l...

A treatise on differential equations

A Treatise on the Calculus of Finite Differences (Classic Reprint)

The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning (Classic Reprint)

Excerpt from The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning In presenting this Work to public notice, I deem it not irrelevant to observe, that speculations similar to those which it records have, at different periods, occupied my thoughts. In the spring of the present year my attention was directed to the question then moved between Sir W. Hamilton and Professor De Morgan; and I was induced by the interest which it inspired, to resume the almost-forgotten thread of former inquiries. It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it had also another and a deeper system of relations. If it was lawful to regard it from without, as connecting itself through the medium of Number with the intuitions of Space and Time, it was lawful also to regard it from within, as based upon facts of another order which have their abode in the constitution of the Mind. The results of this view, and of the inquiries which it suggested, are embodied, in the following Treatise. It is not generally permitted to an Author to prescribe the mode in which his production shall be judged; but there are two conditions which I may venture to require of those who shall undertake to estimate the merits of this performance. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

The Mathematical Analysis of Logic (Classic Reprint): Being an Essay Towards a Calculus of Deductive Reasoning

Literature & Fiction

Literary

See the best price to sell, buy, or rent books by George, Boole. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by George, Boole

See the best price to sell, buy, or rent books by George, Boole. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities (Classic Reprint)

An Investigation of the Laws of Thought: On Which Are Founded the Mathematical Theories of Logic and Probabilities

A Treatise on Differential Equations

An Investigation of the Laws of Thought

Calculus Of Finite Differences Fourth Edition

Calculus Of Finite Differences Fourth Edition

A Treatise on the Calculus of Finite Differences

A treatise on differential equations

A Treatise on the Calculus of Finite Differences (Classic Reprint)

The Mathematical Analysis of Logic (Classic Reprint): Being an Essay Towards a Calculus of Deductive Reasoning