Making sense of our human existence can be difficult, but we may experience particular moments that prompt us to search for something deeper. Os Guinness tells stories of people who experienced these "signals of transcendence" and followed them to find new meaning and purpose in life-and the same can be true for us.

La philosophie allemande de la fin du XVIIIe siècle et du début du XIXe siècle valorise extraordinairement la raison. Une idée-clé est que rien - ni savoir, ni valeur, ni pouvoir - ne saurait échapper à la raison comme instance explicative et critique. Toutefois, la raison peut-elle à elle seule fournir une pensée adéquate? Peut- elle se passer des sentiments, voire des croyances, si elle entend connaître autre chose que des ombres et formuler une morale qui ne soit pas desséchante?00Cet (...) ouvrage étudie le rapport entre la pensée rationnelle et l'affectivité dans les débats qui se nouent autour de Kant, dans le post-kantisme et l'idéalisme allemand, ainsi que chez les successeurs de Hegel - depuis les Méditations bibliques de Hamann jusqu'à L'Esprit du christianisme de Feuerbach. Les contributions ici réunies s'efforcent non seulement de mettre en évidence les conceptualisations individuelles, mais aussi de repérer comment les problématiques circulent et se transforment d'un auteur à l'autre. L'hypothèse est que les oeuvres de la période étudiée forment une transition entre les grands rationalismes post-cartésiens, fascinés par la déduction abstraite, et la mise en cause de la raison dans les vitalismes de la fin du XIXe siècle. (shrink)

The great influence of Georg Cantor's theory of sets and transfinite arithmetic has led to a considerable interest in his life. It is well known that he had a remarkable and unusual personality, and that he suffered from attacks of mental illness; but the ‘popular’ account of his life is richer in falsehood and distortion than in factual content. This paper attempts to correct these misrepresentations by drawing on a wide variety of manuscript sources concerning Cantor's life and career, including (...) the texts of some important documents. An appendix describes the most important collection of missing manuscripts, whose location would help further the preparation of a biographical study of Cantor. (shrink)

Most people know Ursula K. Le Guin for her extraordinary science fiction and fantasy writing. Fewer know just how pervasive Taoist themes are to so much of her work. And in Lao Tzu: Tao Te Ching, we are treated to Le Guin's unique take on Taoist philosophy's founding classic. Reflecting more than forty years of Le Guin's personal study and contemplation, her rendering of the text is a brilliant testament to her deep-seated understanding of Taoist principles and their value for (...) our troubled world today. Avoiding traditional patriarchal interpretations, scholarly fixations, and esotericism, she embues the Tao Te Ching with transformative, awe-inspiring power like no other. Also included are Le Guin's personal reflections and notes on the text throughout. To anyone who has enjoyed Le Guin's writing and yearns for a deeper window into her mind--or to all who simply wish to explore the philosophical bedrock that shaped an incredible, historically significant author--Le Guin's Lao Tzu: Tao Te Ching will be an incomparable treasure. (shrink)

George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (...) (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a non-technical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written. (shrink)

In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics.

This paper is concerned with the influence that the set theory of Georg Cantor bore upon the mathematical logic of Bertrand Russell. In some respects the influence is positive, and stems directly from Cantor's writings or through intermediary figures such as Peano; but in various ways negative influence is evident, for Russell adopted alternative views about the form and foundations of set theory. After an opening biographical section, six sections compare and contrast their views on matters of common interest; irrational (...) numbers, infinitesimals, cardinal and ordinal numbers, the axiom of infinity, the paradoxes, and the axioms of choice. Two further sections compare the two men over more general questions: the role of logic and the philosophy of mathematics. In a final section I draw some conclusions. (shrink)

Among the papers left by Bertrand Russell (1872?1970) and now held at the Russell Archives at McMaster University, is a large quantity of material on mathematical logic and the foundations of mathematics. This paper is a provisional survey of their extent and content. Some indications are given of their historical significance, and a discussion is added to the possible modes of their publication in the edition of Russell's Collected papers, currently in progress.

Symbolic logics tend to be too mathematical for the philosophers and too philosophical for the mathematicians; and their history is too historical for most mathematicians, philosophers and logicians. This paper reflects upon these professional demarcations as they have developed during the century.

Post's Nachlass has recently been made available to the public in an archive in the U.S.A. After a short summary of his life and career, this article indicates the character and content of the manuscripts, and their significance is assessed. Two short passages are transcribed; and. as a separate item, a paper of the 1930s on the paradoxes is reproduced.

This note relates to two recent papers in the journal. The main point was to highlight Kempe's theory of multisets (as we now call them), especially in the background to the start of Peirce's theory of existential graphs.

One of the books submitted for review to this journal was B.?A. Scharfstein's The philosophers: their lives and the nature of their thought (1980, Oxford). Although not explicitly concerned with logic, it raised various questions for history and historiography (possibilities for psycho-history, for example). Thus I sought a review, which was written by P. Loptson and published in volume 3 (1982), 105?107. The ensuing correspondence has been edited for publication by me, with the authors? approval.

An outline is given of the development of logicism from the publication of the first edition of Whitehead and Russell's Principia mathematica (1910-1913) through the contributions of Wittgenstein, Ramsey and Chwistek to Russell's own modifications made for the second edition of the work (1925) and the adoption of many of its logical techniques by the Vienna Circle. A tendency towards extensionalism is emphasised.

It was a dark and stormy night, in the otherwise unnoteworthy year 711 E.C. , and the great-aunt sat crouched at her typewriter, holding his hands out to it from time to time as if for warmth and swinging on a swing. He was a handsome boy of about eighteen, one of those men who suddenly excite your desire when you meet them in the street, and who leave you with a vague feeling of uneasiness and excited senses. On the (...) plate beside the typewriter lay a slice of tomato. It was a flawless slice. It was a perfect slice of a perfect tomato. It is perfectly boring. I hold out my hands to the typewriter again, while swinging and showing my delicate limbs, and observe that the rows of keys are marked with all the letters of the English alphabet, and all the letters of the French alphabet minus accent marks, and all the letters of the Polish alphabet except the dark L. By striking these keys with the ends of my fingers or, conceivably, a small blunt object, the aging woman can create a flaw in the tomato. She did so at once. It was then a seriously, indeed a disgustingly flawed tomato, but it continued to be perfectly boring until eaten. She expired instantly in awful agony, of snakebite, flinging the window wide to get air. It is a dark and stormy night and the rain falling in in the typewriter keys writes a story in German about a great-aunt who went to a symposium on narrative and got eaten in the forest by a metabear. She writes the story while reading it with close attention, not sure what to expect, but collaborating hard, as if that was anything new; and this is the story I wrote . . . Ursula K. Le Guin, distinguished novelist, poet, and essayist, is the author of The Left Hand of Darkness, Malafrena, and The Dispossessed, for which she won both the Hugo and the Nebula Award. Her novel The Lathe of Heaven was made into a film by the Public Broadcasting System. (shrink)

The Scottish logician Hugh MacColl is well known for his innovative contributions to modal and nonclassical logics. However, until now little biographical information has been available about his academic and cultural background, his personal and professional situation, and his position in the scientific community of the Victorian era. The present article reports on a number of recent findings.

Introduction Contrary to a widespread assumption the modern history of modal logic did not start with C. I. Lewis’ Survey of Symbolic Logic [Lewis 1918]. His eminent work was preceded by some 20 years by H. MacColl’s fifth article on ‘The Calculus of Equivalent Statements’. This article was read at the London Mathematical Society on 12 November 1896. Some months later it was published in the Society’s Proceedings [MacColl 1896-1897]. During the following years MacColl presented his logic prim...

Introduction Contrary to a widespread assumption the modern history of modal logic did not start with C. I. Lewis’ Survey of Symbolic Logic [Lewis 1918]. His eminent work was preceded by some 20 years by H. MacColl’s fifth article on ‘The Calculus of Equivalent Statements’. This article was read at the London Mathematical Society on 12 November 1896. Some months later it was published in the Society’s Proceedings [MacColl 1896-1897]. During the following years MacColl presented his logic prim...

Immigration changed the ethnic composition of Western European societies. The new populations brought a series of culturally determined practices that challenged the liberal framework of values of the receiving states. Despite the existence of important variations between the official discourses and the actual policies finally implemented, the responses to those challenges varied with the models of integration defined by each country to deal with ethnic diversity. In this article, we study the policies designed and implemented by the United Kingdom and (...) France against “female genital mutilation” practices, analyzing how both British and French policies affected these types of practices. (shrink)

An account is given of the emergence of the concept of work as a basic component of mechanics. It was largely an achievement of engineer savants in France during the Bourbon Restoration , with Navier, Coriolis and Poncelet playing the major roles. Some aspects of the eighteenth-century prehistory are described, and also concurrent developments in French engineering. The principal problem areas were friction, hydraulics, machine performance and ergonomics, and especially in the last context the developments became involved with social and (...) even philosophical movements in the 1820s. Education played an important role throughout; several of the principal sources are textbooks. (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)

Although the existence of correspondence between George Boole (1815?1864) and William Stanley Jevons (1835?1882) has been known for a long time and part was even published in 1913, it has never been fully noted; in particular, it is not in the recent edition of Jevons's letters and papers. The texts are transcribed here, with indication of their significance. Jevons proposed certain quite radical changes to Boole's system, which Boole did not accept; nevertheless, they were to become well established.