A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional (...) coverage of introductory material such as sets. Increased flexibility of the text, allowing instructors more choice in how they use the textbook in courses. Reduced mathematical rigour to fit the needs of undergraduate students. (shrink)

The intention of the present essay is to urge a reconsideration of the Realism-Phenomenalism-Issue, mainly and primarily in regard to the interpretation of scientific hypotheses; secondarily also relating to the basic problems of epistemology.

This classic book is Marcuse's masterful interpretation of Hegel's philosophy and the influence it has had on European political thought from the French Revolution to the present day. Marcuse brilliantly illuminates the implications of Hegel's ideas with later developments in European thought, particularily with Marxist theory.

PAUL OPPENHEIM and HILARY PUTNAM Unity of Science as a Working Hypothesis 1. Introduction 1.1. The expression "Unity of Science" is often encountered, ...

The purpose of this paper is to make clear that the widely recognized formulations of the principle of induction do not express the most fundamental rule of induction; that the current view concerning the probability of induction must be revised in terms of a frequency theory of probability; that on this basis the problem of induction in its traditional form is a pseudo-problem; and that the principle of induction must be interpreted as a pragmatic or operational maxim.

In this rejoinder to the critical comments elicited by my essay “Existential Hypotheses,” I propose to deal first with the challenge coming from the avowedly different philosophical outlook of Professor Churchman. My other critics, Professors Frank, Hempel, Nagel and Ramsperger, on the whole, share my basic conception of the tasks of philosophy of science and epistemology, even if they dissent in one important respect or another from the special solution I suggested. But since I discern even in Professor Nagel's remarks (...) a pragmatist or instrumentalist strain akin to the major contentions of Professor Churchman, it will be well to begin with a defense and further clarification of my underlying point of view. Only after this restatement of my platform will I undertake to defend semantic realism against the specific criticisms advanced by the last four authors. (shrink)

Excerpt from Essay in PhysicsIn many respects this book does not follow present trends in physics and may therefore prove controversial. I cite those eminent names only in order to express my thanks and not in any degree as invoking their authority in support of the propositions and arguments put forward. These scientists have of course not been asked to sponsor this book either as a whole or in any part. If it is to be criticized as heterodox it must (...) stand on its own feet and speak for itself.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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. (shrink)

As the idea of culture is conceived in modern times, it has its roots in the ancient teaching on the relation between the Necessary and the Beautiful, and between labor and rest. The stabilizing of modern society, however, ushered in a significant change in the interpretation of this relationship. Cultural values became universally valid and obligatory : each individual, regardless of his place in society, is supposed to share them in equal measure. Culture is cut off from the material processes (...) of social reproduction, as well as from those of civilization, and comes to be regarded as belonging to a higher, purer, better world. The realm of culture comes to be looked upon as the sovereignty of a free moral and intellectual community.The article attempts to indicate the significance of modern culture for the place of the individual in society. For this purpose the author selects some characteristic and fundamental concepts of modern culture : the idea of the soul (the values of the soul receive unconditional preference to the sensual as well as the intellectual values : external conditions and intellectual achievements are less relevant than the inner essence of man), — the idea of beauty (art attains the function of giving to humanity, through the presentation of the beautiful, the enjoyment of a better world),— and the idea of personality (the individual achieves his own happiness only through subordination to the existing order of things). These ideas are analyzed in order to show that culture has absorbed all the forces that were directed towards the achievement of a better existence : humanity, kindliness, solidarity, happiness. Modern culture was the historic framework within which the pursuit of happiness was accomplished in a social order that was without happiness for the majority of mankind.But, by proclaiming all progressive ideas as spiritual or internal ideals, this same culture has distilled from them all their critical, dynamic force. They are taken seriously only as inner spiritual values or as objects of art. In this internalized and transfigured form the human desire for happiness has been diverted from reality and appears to have been set at rest. The individual is trained for renunciation and he has to rationalize in order to believe himself satisfied. In this way, culture serves to take the responsibility for the happiness of the individual from the existing order and to justify the given order of things.In the last period of this development, idealism gives way to a heroic realism of power. In the battle of the authoritarian state against the idealism of the liberal bourgeois culture, the old methods of cultural discipline are to be replaced by more timely ones. The principal function of culture, however, remains unchanged. The hostility of the authoritarian state toward culture in general also serves as a justification for the existing order of things. But in comparison the culture that is being attacked appears as an enlightened, more humane stage of the past ; its progressive tendencies stand forth more clearly in our minds.In conclusion, the idea of bridging the gulf between culture and civilization is outlined : a definite re-incorporation of culture into the general social process, whereby it would lose its justificatory character.L’idée de la culture caractéristique de l’Occident moderne, remonte à la doctrine antique qui a formulé les rapports du nécessaire et du beau, du travail et du plaisir. Avec la stabilisation de la société moderne, intervint un changement décisif dans l’interprétation de ces rapports : les valeurs culturelles deviennent universellement valables et universellement impératives ; chaque individu, quelle que soit sa position sociale, doit également participer à ces valeurs. La culture, monde meilleur, supérieur, plus pur, se détache et du procès matériel de reproduction et de la „civilisation“. Elle est revendiquée comme le règne d’une libre communauté morale et spirituelle.L’étude essaye d’indiquer la répercussion de la culture nouvelle sur la situation de l’individu dans la société. Elle relève quelques-uns des concepts fondamentaux de cette culture : L’idée de l’âme (spiritualisation de la sensibilité), l’idée de la beauté (satisfaction par l’art), et l’idée de la personnalité (accomplissement par le renoncement). La culture a résorbé toutes les forces qui tendaient vers une existence meilleure : humanité, bonté, solidarité, joie. La culture représentait la forme historique sous laquelle le besoin de bonheur trouvait satisfaction dans un ordre social qui privait de bonheur la majorité des hommes. Mais la culture, en hypostasiant toutes les idées progressives en idéals, a dépouillé celles-ci de toute force explosive, qui les eût rendues dangereuses. Elle ne les a prises au sérieux qu’en tant que valeurs intérieures, spirituelles, ou en tant que thèmes de l’art. L’exigence de bonheur trouve sous cette forme intériorisée et transfigurée une satisfaction apparente. Toutes les exigences, l’individu apprend à se les poser à lui-même et à se contenter d’une jouissance rationalisée. Il est élevé en vue du renoncement. Ainsi la culture contribue à décharger et à justifier l’ordre existant.Dans la dernière phase de cette évolution, l'idéalisme de l'intériorité, par un renversement dialectique, devient „réalisme de la force“. Dans le combat de l'État autoritaire contre la culture idéaliste de la bourgeoisie libérale, les vieilles méthodes de discipline culturelle cèdent la place à des méthodes plus adaptées. L'hostilité de l'État autoritaire à la culture est elle- même une justification. Par comparaison, la culture attaquée apparaît comme un passé moins sombre et plus humain : ses tendances progressives s'élèvent plus clairement à la conscience. En conclusion, l'auteur indique l'idée d'un dépassement de l'opposition entre civilisation et culture : la culture, une fois ramenée de façon positive au processus social, perdrait son caractère affirmatif. (shrink)

The problem of evil throws up many awkward questions for theologians. McCabe handles the many contradictory twists and turns with dexterity and skill.>.

In dieser Arbeit, unter dem Einfluss eines Lehrers Martin Heidegger entstanden und 1932 erstmals veroffentlicht, unternimmt Marcuse den Versuch, die hegelsche Ontologie in ihrer ursprunglichen Orientierung am Seinsbegriffs des Lebens und seiner Geschichtlichkeit aufzuweisen. Mit der hegelschen Ontologie ist gemeint Hegels Ansatz des Sinns von Sein uberhaupt und die systematische Entfaltung und Auslegung dieses Seinssinns in den verschiedenen Weisen des Seins. Hegel zeigt, dass erst mit dem Sein des Lebens die Geschichte des Seienden so weit erfullt ist, dass das Seiende (...) als Seiendes in seiner Wahrheit wirklich ist. (shrink)

A practical or pragmatic justification applies to actions. The action concerned in the case of induction is the making of predictions, and—philosophically of prime importance—the adoption of such rules of procedure as will make the predictions maximally successful. Clearly all ordinary cases of the justification of actions utilize, and in this sense presuppose, inductions. When philosophers ask for a ground of induction in general the answer cannot be inductive evidence. This would be plainly circular or lead to an infinite regress. (...) Hence we are here dealing with a limiting or degenerate case of justification. It is true that one important component of the meaning of such words as “reasonable” or “rational” is indeed the employment of inductive procedures. Many analytic philosophers rest their case right here and consider the quest for a justification of induction as a pseudo problem because, in their view, this quest comes down to asking “is it reasonable to be reasonable?” But—because of an ambiguity of the term “reasonable”—it is precisely here where the distinction between validation and vindication is helpful and points the way to one more step that can be taken in the overall justification of inductive inference. (shrink)