Excerpt from Symbolic Logic Elementary, Vol. 1 The Learner, who wishes to try the question fairly, whether this little book does, or does not, supply the materials for a most interesting mental recreation, is earnestly advised to adopt the following Rules. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Symbolic Logic Elementary, Vol. 1 The chief alterations, in this Edition, have been made in the Chapter on 'Classification' (pp. 2, 3) and the Chapter on 'Propositions of Existence' (pp. 12, 13). In the first of these I have adopted a new definition of the Process, which enables me to regard the whole Universe as a 'Class', and thus to dispense with the very awkward phrase 'a Set of Things.' In the second, I have adopted a new 'normal form,' in which the Class, whose existence is affirmed or denied, is regarded as the Predicate, instead of the Subject, of the Proposition, thus evading a very subtle difficulty which besets the other form. These subtle difficulties seem to lie at the root of every Tree of Knowledge, and they far more hopeless to grapple with than any that occur in its higher branches. For example, the difficulties of the Forty-Seventh Proposition of Euclid are mere child's play compared with the mental torture endured in the effort to think out the essential nature of a straight Line. And, in the present work, the difficulties of the "5 Liars" Problem, at p. 188, are "trifles, light as air," compared with the bewildering question "What is a Thing?" Besides these alterations, I have corrected a number of misprints, some of which have been pointed to me by friends - but none of my critics have been sharp-eyed enough to detect the splendid misprint at p. 109, where the following Trio of Propositions is proposed as a Syllogism: - "A prudent man shuns hyænas; Anything but gold will fail to silence him. No banker fails to shun hyænas." About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This volume offers a serious study of the fundamentals of symbolic logic that will neither frustrate nor bore the reader. The emphasis is on developing the students grasp of standard techniques and concepts rather than on achieving a high degree of sophistication. Coverage embraces all of the standard topics in sentential and quantificational logic, including multiple quantification, relations, and identity. Semantic and deductive topics are carefully distinguished, and appendices include an optional discussion of metatheory for sentential logic and truth trees.
Excerpt from An Elementary Treatise of Logic, Vol. 1: Including, Analysis of Formulae, Method Ahd logic which treats of the relations of conceptions to one another; the deduction Logic in mi, of secondary from primary and intuitive www judgments, and the laws of Synthesis, by which truths are constructed into systems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Symbolic Logic I have so fully explained the nature and aim of this system of Logic, in the Introduction, that nothing further need be said on this head. The substance of most of these chapters has been given in my college lectures, our present intercollegiate scheme of lecturing (now in operation for about twelve years) offering great facilities for the prosecution of any special studies which happen to suit the taste and capacity of some particular lecturer and a selection of the students. I mention this in order to explain what might seem a disproportionate devotion of time to one peculiar development of Logic. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Elementary Logic Books on Logic Often begin with what professes to be a definition Of the Science. And if by a definition all that is meant is a vague general statement of aim or purpose, that is easy to give; the aim Of Logic, always and every where, is to' study the difference between good and bad reasoning. Even the loftiest and least mundane kind Of Logic cannot really escape from this purpose; for what interest could there be in ideally perfect truths if no one was ever in the least danger of forgetting them? It was the liability of mankind to reason badly that first called Logic into existence, and that still makes the study worth while; and to confess its lack Of power to detect bad reasoning, or to boast of a lack Of interest in doing this, would be fatal to its claims. The general aim Of Logic, then, is clear. But real difficulties begin as soon as we try to get the scope and method of the Science into its definition, for thereby we run'a risk Of begging the very important ques tion whether a particular limitation of scope, or a particular method, is a help or a hindrance in achieving the aim. There is no general agreement on this point. Indeed that is a mild way of putting it, for we live' in times when there is a widespread and growing revolt against certain Old methods and Old limitations Of Logic which have come. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from A Survey of Symbolic Logic But this survey does not pretend to be encyclopedic. A gossipy recital of results achieved, or a superficial account of methods, is of no more use in symbolic logic than in any other mathematical discipline. What is presented must be treated in sufficient detail to afford the possibility of real insight and grasp. This aim has required careful selection of material. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from An Elementary Handbook of Logic The volume departs in two particulars from the common method of treatment. First, a distinction has been drawn between the Act of Inference and the Process of Inference, and a separate chapter has been devoted to each. This will probably be found to simplify the explanation of Reasoning and to bring out the essential identity of form which underlies the various types of argument. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
