Syllabus, p. 44. Shall we then err in regarding that as the true, science of Logic, which, laying down certain elementary laws, confirmed by the very testimony of the mind, permits us thence to deduce, by uniform processes, the entire chain of its secondary consequences, and furnishes for its practical application methods of perfect generality. Let it be considered whether in any science, viewed either as a system of truth or as the foundation of a practical art, there can properly be any other test of the completeness and fundamental characters of its laws, than the completeness of its system of derived truths, and the generality of the methods which it serves to establish. BOOLE, Laws ofT hought, p. 5. It is curious to compare the properties of these quaternion symbols with those of theE lective Symbols of Logic, as given in Boole swonderful treatise on theL aws ofT hought; and to think that the same grand science of mathematical analysis, by processes remarkably similar to each other, reveals to us truths in the science of position far beyond the powers of the geometer, and truths of deductive reasoning to which unaided thought could never have led the logician. PROFESSOR TAIT, Quaternions, p. 50.
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Principles were originally contributed to the Royal Society of Edinburgh in aM emoir received by theS ecretary Qth October 1878, and in a supplementary paper received 5th November. I had the honour of reading an Abstract before theS ociety at the meetings of i6th December and 2O th January. In the interval between the 5th November and the present time I have improved several of the demonstrations, introduced illustrative matter, and prepared the collection of examples. The work, in its present state, forms an elementary treatise on the science ofF ormal Reasoning. I consider it proper to state that the theory of the operation of the mind in reasoning about Quality, which is advanced in this work, occurred to me five years ago; and that I have directed towards its development the whole of my subsequent study of theM athematical, Physical, and Natural Sciences, which are embraced in the curriculum for the degree of Doctor of Science (M athematics) at the University of Edinburgh. ALEXANDER MACFARLANE. EDINBURGH, 23 January
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org
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