Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

Die "Paradoxien des Unendlichen" sind ein Klassiker der Philosophie der Mathematik und zugleich eine gute Einführung in das Denken des "Urgroßvaters" der analytischen Philosophie. Das Unendliche - seit jeher ein Faszinosum für die philosophische Reflexion - wurde in der Zeit nach der Grundlegung der Analysis durch Leibniz und Newton in der Mathematik zunächst als Problem betrachtet, das sich nicht vollkommen widerspruchsfrei behandeln lässt. Bernard Bolzano, der heute als "Urgroßvater der analytischen Philosophie" (Michael Dummett) gilt, zeigt in diesem klassisch gewordenen Text (...) jedoch, dass es beim Nachdenken über das Unendliche, sofern man begrifflich differenziert argumentiert und klare Definitionen zugrunde legt, keine echten Widersprüche gibt und sich die "Paradoxien des Unendlichen" auflösen lassen. Bolzano setzt sich zunächst mit den Unendlichkeitsbegriffen der Mathematik und der (idealistisch geprägten) Philosophie seiner Zeit auseinander, bevor er sich Schritt für Schritt die analytischen Grundlagen einer konsistenten Theorie des Unendlichen erarbeitet. Bereits einige Jahrzehnte vor Georg Cantors bis heute maßgeblicher mathematischer Unendlichkeitsdefinition gelingt Bolzano mit diesem Werk, dessen logische Klarheit und dessen Grad an philosophischer Durchdachtheit bis heute Beispielcharakter haben, die Rehabilitation des Unendlichen für die Philosophie der Mathematik. Die "Paradoxien des Unendlichen" wurden zuerst 1851 aus dem Nachlass herausgegeben. Diese Neuausgabe beruht auf dem der Erstausgabe zugrundeliegenden Manuskript. (shrink)

In the general theory of logic built up by Whitehead and Russell to furnish a basis for all mathematics there is a certain subtheory which is unique in its simplicity and precision; and though all other portions of the work have their roots in this subtheory, it itself is completely independent of them. Whereas the complete theory requires for the enunciation of its propositions real and apparent variables, which represent both individuals and propositional functions of different kinds, and as a (...) result necessitates- the introduction of the cumbersome theory of types, this subtheory uses only real variables, and these real variables represent but one kind of entity—which the authors have chosen to call elementary propositions. The most general statements are formed by merely combining these variables by means of the two primitive propositional functions of propositions Negation and Disjunction; and the entire theory is concerned with the process of asserting those combinations which it regards as true propositions, employing for this purpose a few general rules which tell how to assert new combinations from old, and a certain number of primitive assertions from which to begin. (shrink)

This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.

First published in 1946, History of Western Philosophy went on to become the best-selling philosophy book of the twentieth century. A dazzlingly ambitious project, it remains unchallenged to this day as the ultimate introduction to Western philosophy. Providing a sophisticated overview of the ideas that have perplexed people from time immemorial, it is 'long on wit, intelligence and curmudgeonly scepticism', as the New York Times noted, and it is this, coupled with the sheer brilliance of its scholarship, that has made (...) Russell's History of Western Philosophy one of the most important philosophical works of all time. (shrink)

In this book Terence Parsons revives the older tradition of taking such objects at face value. Using various modern techniques from logic and the philosophy of language, he formulates a metaphysical theory of nonexistent objects. The theory is given a formalization in symbolism rich enough to contain definite descriptions, modal operators, and epistemic contexts, and the book includes a discussion which relates the formalized theory explicitly to English.

Ten brilliant essays on logic appear in this collection, the work of one of the world’s best-known authorities on logic. In these thought-provoking arguments and meditations, Nobel Prize winner Bertrand Russell challenges the romantic mysticism of the 19th century, positing instead his theory of logical atomism. These essays are categorized by Russell as "entirely popular" and "somewhat more technical." The former include the well-known title essay plus "A Free Man’s Worship" and "The Place of Science in a Liberal Education"; the (...) latter comprise "On the Notion of Cause" and "Knowledge by Acquaintance and Knowledge by Description," along with other essays written in the cogent and witty style for which their author is justly renowned. (shrink)

Of course we all know now that mathematics has proved that logic doesn't really make sense, but Etchemendy (philosophy, Stanford Univ.) goes further and challenges the received view of the conceptual underpinnings of modern logic by arguing that Tarski's model-theoretic analysis of logical consequences is wrong. He may have found the soft underbelly of the dead horse. Annotation copyrighted by Book News, Inc., Portland, OR.

This anthology of essays on the work of David Kaplan, a leading contemporary philosopher of language, sprang from a conference, "Themes from Kaplan," organized by the Center for the Study of Language and Information at Stanford University.

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

This is the first introductory textbook on non-classical propositional logics.

A transcript of three lectures, given at Princeton University in 1970, which deals with (inter alia) debates concerning proper names in the philosophy of language.

This book provides the original text of A Critical Exposition of the Philosophy of Leibniz, which was first published in 1900. An example of Russell's early thought, the work took particular inspiration from the letters to Arnauld and the Discours de Métaphysique in developing a comprehensive theory of Leibniz's system. The text of the first edition is provided in its entirety, including an appendix containing extracts from Leibniz, classified according to subject. This book will be of value to anyone with (...) an interest in Leibniz and the early philosophy of Russell. (shrink)

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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

_Naming and Necessity_ has had a great and increasing influence. It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of naming, and of identity. This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here reissued in a newly corrected form with a new preface by the author. If there is such a thing as essential reading in metaphysics, or in philosophy of language, this is (...) it. (shrink)

Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens / von Dr. Gottlob Frege,...Date de l'edition originale : 1879Ce livre est la reproduction fidele d'une oeuvre publiee avant 1920 et fait partie d'une collection de livres reimprimes a la demande editee par Hachette Livre, dans le cadre d'un partenariat avec la Bibliotheque nationale de France, offrant l'opportunite d'acceder a des ouvrages anciens et souvent rares issus des fonds patrimoniaux de la BnF.Les oeuvres faisant partie de cette collection ont ete numerisees (...) par la BnF et sont presentes sur Gallica, sa bibliotheque numerique.En entreprenant de redonner vie a ces ouvrages au travers d'une collection de livres reimprimes a la demande, nous leur donnons la possibilite de rencontrer un public elargi et participons a la transmission de connaissances et de savoirs parfois difficilement accessibles.Nous avons cherche a concilier la reproduction fidele d'un livre ancien a partir de sa version numerisee avec le souci d'un confort de lecture optimal. Nous esperons que les ouvrages de cette nouvelle collection vous apporteront entiere satisfaction.Pour plus d'informations, rendez-vous sur www.hachettebnf.frhttp://gallica.bnf.fr/ark:/12148/bpt6k65658c. (shrink)

In this comprehensive study of Wittgenstein's modal theorizing, Bradley offers a radical reinterpretation of Wittgenstein's early thought and presents both an interpretive and a philosophical thesis. A unique feature of Bradley's analysis is his reliance on Wittgenstein's Notebooks, which he believes offer indispensable guidance to the interpretation of difficult passages in the Tractatus. Bradley then goes on to argue that Wittgenstein's account of modality--and the related notion of possible worlds--is in fact superior to any of the currently popular theories in (...) this area. In this context, he examines and critiques the work of such figures as Adams, Carnap, Hintikka, Lewis, Rescher, and Stalnaker. (shrink)

In "What is Meaning" (1903) the author elaborates on the fundamental tenets of her theory of sign, to which she gave the overall term ‘significs’. One of the main obstacles to an adequate theory of meaning, in Lady Welby’s opinion, is the unfounded assumption of fixed sign meaning. "There is, strictly speaking, no such thing as the Sense of a word, but only the sense in which it is used – the circumstances, state of mind, reference, ‘universe of discourse’ belonging (...) to it. The Meaning of a word is the intent which it is desired to convey – the intention of the user. The Significance is always manifold, and intensifies its sense as well as its meaning, by expressing its importance, its appeal to us, its moment for us, its emotional force, its ideal value, its moral aspect, its universal or at least social range." This facsimile of the 1903 edition of "What is Meaning" is accompanied by an essay on "Significs as a Fundamental Science" by Achim Eschbach, and "A Concise History of Significs" by G. Mannoury. (shrink)

"Some Pow'r did us the giftie grant/ To see oursels as others can't." With that play on Burns' famous line as a preface, Willard Van Orman Quine sets out to spin the yarn of his life so far. And it is a gift indeed to see one of the world's most famous philosophers as no one else has seen him before. To catch an intimate glimpse of his seminal and controversial theories of philosophy, logic, and language as they evolved, and (...) to hear his warm and often amusing comments on famous contemporary philosophers.From his beginnings in Akron, Ohio in the early 1900s, Quine takes us on a tour of over 100 countries over three-quarters of a century, including close observations of the Depression and two world wars. Far from a philosophical tract, it is an ebullient, folksy account of a richly varied and rounded life. When he does dip into philosophy, it is generally of the armchair sort, and laced with a gentle good humor: "There is that which one wants to do for the glory of having done it, and there is that which one wants to do for the joy of doing it. One can want to be a scientist because he wants to see himself as a Darwin or an Einstein, and one can want to be a scientist because he is curious about what makes things tick.... In normal cases the two kinds of motivation are in time brought to terms.... In me the glory motive lingered......In this book, Quine approaches the details of his life the way he has always approached them with a sharp sense of interest, adventure and fun. And he has a skill for picking a word that is just off-center enough to pull an ordinary event out of the humdrum of daily life and evoke its personal meaning. The result is a book of memories that is utterly mesmerizing.Willard Van Orman Quine is the author of numerous books, including Word and Object, published by The MIT Press in 1960.A Bradford Book. (shrink)

SummaryIn June 1913 the 18-year-old Norbert Wiener presented to Harvard University a doctoral thesis comparing the logical systems of Schröder and Russell, with special reference to their treatment of relations. Shortly afterwards he visited Russell in Cambridge (England) and showed him a copy of the thesis. Russell wrote out some comments, to which Wiener replied.None of these documents has been published. In this paper I summarise the contents of Wiener's thesis, and describe and quote from the subsequent discussion with Russell. (...) I preface the account with some remarks on the personal relationship of Wiener and Russell, and conclude it with the description of the location of the various documents cited. (shrink)

Die Annahmen und die Sprache. Noch einmal das Verstehen. Vielleicht ist es nicht frei von aller Gewaltsamkeit, zur „psychischen Umgebung“ eines inneren Erlebnisses auch dessen sprachlichen Ausdruck zu zählen; jedenfalls aber ist es  ...

SYMBOLIC LOGIC. CHAPTER I. ON THE FORMS OF LOGICAL PROPOSITION. IT has been mentioned in the Introduction that the System of Logic which this work is ...

Russell has recently been held to have had a modal logic, a full modal theory and a view of naming that anticipates Kripke's intuitions on rigid designation. It is argued here that no such claims are warranted. While Russell was not altogether silent on matters modal, he did not advance an identifiable modal logic or anything more than a modest modal theory. His view of naming involves a notion of guaranteed reference. But what Kripke's intuitions about rigidity primarily pertain to (...) is fixed reference, something demonstrably different. (shrink)

A survey such as this by one of the world's leading thinkers of his entire philosophical canon, is clearly as important as it is fascinating.

Fuzzy logic is the next wave in technology. Japanese electronics giants have, in the last ten years, already staked their commercial future on the benefits of fuzzy production; only recently have European and US companies begun to catch up. Fuzzy logic sanctifies vagueness. It prescribes a new way of thinking about machines, about science, ambiguity, confusion and contradiction.