This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz (by Russell amongst others) while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.

This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.

This volume gathers together for the first time are all the key texts in a crucial debate in modern philosophy, centered on Leibniz's famous 1695 essay, the "New System of the Nature of Substances and their Communication," in which he introduced his strikingly original theory of metaphysics. His "system" became increasingly famous and drew him into discussion and development of these ideas, both in public and in private, with a variety of thinkers, most notably the great French philosopher (...) Pierre Bayle. Woolhouse's and Francks's new English edition gives the only full representation of this debate, and will therefore be essential reading for anyone who wishes to gain a proper understanding of Leibniz's philosophy and its intelletual context. All the texts are newly translated and extensively annotated; many appear in English for the first time. (shrink)

Among Leibniz’s contributions to the philosophy of mind, two topics bear relevance to contemporary discussions in cognitive sciences: the mind-body problem, and the universal language. Leibniz’s deterministic view rejects inter-substance causality between mental and bodily states, as well as between mental or bodily states of different individuals. In addition, Leibniz believed in the need to enhance communication through a universal language based on symbolic representations. Here I reconsider Leibniz’s ideas in the light of experimental evidence coming from (...) mirror neurons. These recently discovered brain cells, responsive to both action execution and observation, are thought to enable the interpretation of the action performer’s intentions through their representation in the observer’s own brain, thus storing embodied shared representations. I propose that mirror neurons’ cross-modal responsiveness, whereby seeing an action being performed by somebody else triggers similar neural response to that of performing that action oneself, can be interpreted as an instantiation of intersubstance causality. I suggest that mirror neurons’ properties speak not only to the non-dualistic equation, supported by brain science in general, whereby in a given individual, mental states arise from bodily states but also introduce the possibility that bodily states may arise from someone else’s bodily states. In addition, I propose that this automatic embodied flow of information between individuals (from performer to observer) bears relevance to Leibniz’s intuitions on symbols. Specifically, I suggest that the shared representations stored in mirror neurons, thought to enable the interpretation of the action performer’s intentions, may be seen as a biological instantiation of Leibniz’s planned, but never realized, universal characteristic. (shrink)

This book offers a critical account of the fundamental elements of Leibniz's philosophy, as they manifest themselves in his metaphysics and philosophy of language. Emphasis is placed upon his hitherto neglected doctrine of nominalism, which states that only concrete individuals exist and that there are no such things as abstract entities – no numbers, geometrical figures or other mathematical objects, nor any abstractions such as space, time, heat, light, justice, goodness, or beauty. Using this doctrine as (...) a basis, the book considers the core of Leibniz's metaphysics and philosophy of language, including the well‐known principles of Contradiction, Sufficient Reason, Continuity and Individuation, and the concepts of Possible World, Individual Substance, Truth, and Necessity. (shrink)

Over the course of a career that has spanned more than fifty years, philosopher Fred Sommers has taken on the monumental task of reviving the development of Aristotelian (syllogistic) logic after it was supplanted by the predicate logic of Gottlob Frege and Bertrand Russell. The enormousness of Sommers's undertaking can be gauged by the fact that most philosophers had come to believe - as David S. Oderberg writes in his preface - that "Aristotelian logic was good but is now as (...) good as dead." A revival of traditional syllogistic logic would involve not only its restatement but its refashioning into a system that could rival the elegance and deductive power of predicate logic. Building on work by medieval scholastic logicians, Leibniz, and nineteenth-century algebraic logicians, Sommers accomplished this renovation and rehabilitation of syllogistic logic with his magnum opus The Logic of Natural Language, published in 1982. In The Old New Logic, essays by a diverse group of contributors show how widely influential Sommers's work has been-not only in logic, but in category theory and other areas. Scholars in psychology, linguistics, and computer science join philosophers and logicians in discussing aspects of Sommers's contributions to philosophy. Sommers himself provides an intellectual autobiography at the beginning and in the final chapter offers comments on the contributions. This collection should help bring to Sommers's work the attention it deserves from the wider philosophical and intellectual community. (shrink)

Through the reconstruction of Leibniz's theory of the degrees of knowledge, this e-book investigates and explores the intrinsic relationship of imagination with space and time. The inquiry into this relationship defines the logic of imagination that characterizes both human and non-human animals, albeit differently, making them two different species of imaginative animals. -/- Lucia Oliveri explains how the emergence of language in human animals goes hand in hand with the emergence of thought and a different form of rationality (...) constituted by logical inferences based on identity and contradiction, principles that are out of reach of the imagination. The e-book concludes that the presence of innate principles in human animals transforms the way in which they sense-perceive the world, thereby constantly increasing the distinction between human and non-human animals. -/- Keywords: human and non-human animals, Leibniz and Locke on ideas, Leibniz on bodies, Leibniz on conceivability, Leibniz on degrees of knowledge, Leibniz on degrees of perception, Leibniz on innate ideas, Leibniz on modality, Leibniz on similarity and congruence, Leibniz on space and time, Leibniz’s philosophy of language, theory of types. (shrink)

This is the first volume compiling English translations of Leibniz's journal articles on natural philosophy, presenting a selection of 26 articles, only three of which have appeared before in English translation. It also includes in full Leibniz's public controversies with De Catelan, Papin, and Hartsoeker. The articles include work in optics, on the fracture strength of materials, and on motion in a resisting medium, and Leibniz's pioneering applications of his calculus to these issues by construing them (...) as mini-max and inverse tangent problems. Other topics covered by the articles include: criticisms of the Cartesian estimate of motive force and Leibniz's proposal of a different way of estimating force to replace it; a proposed theory of celestial motions and gravitation, and derivation of the inverse square law; challenge problems concerning the isochronous curve and the catenary; a sample of work on gaming theory; and Leibniz's critique of atomism. (shrink)

Plato's dialogues frequently criticize traditional Greek myth, yet Plato also integrates myth with his writing. Daniel S. Werner confronts this paradox through an in-depth analysis of the Phaedrus, Plato's most mythical dialogue. Werner argues that the myths of the Phaedrus serve several complex functions: they bring nonphilosophers into the philosophical life; they offer a starting point for philosophical inquiry; they unify the dialogue as a literary and dramatic whole; they draw attention to the limits of language and the limits (...) of knowledge; and they allow Plato to co-opt cultural authority as a way of defining and legitimating the practice of philosophy. Platonic myth, as a species of traditional tale, is thus both distinct from philosophical dialectic and similar to it. Ultimately, the most powerful effect of Platonic myth is the way in which it leads readers to participate in Plato's dialogues and to engage in a process of self-examination. (shrink)

This work is largely the author’s Habilitationsschrift presented at Erlangen. There are three major parts: the first describes ancient and modern forms of scientific reason, the development of which he calls a first and a second Enlightenment; the second explores more deeply certain elements in modern science such as the laws of motion, experimentation, forms of calculation, gravity and force; the third studies rational methodology, including issues of epistemology and artificial languages. The author accepts Kant’s and Nietzsche’s criticism of earlier (...) forms of metaphysics and sees signs of a coming third Enlightenment which will involve criticism of historical and linguistic reason. In parts one and two, considerable space is given to historical and social circumstances as well as to scientific development. Galileo, Newton, Descartes, Leibniz and Kant are among the major figures treated, but many detailed issues are also examined, such as scientific concerns in the late middle ages and renaissance. A forty page bibliography indicates the extent of the author’s range.—R. S. (shrink)

In 1675, Leibniz elaborated his longest mathematical treatise he everwrote, the treatise ``On the arithmetical quadrature of the circle, theellipse, and the hyperbola. A corollary is a trigonometry withouttables''. It was unpublished until 1993, and represents a comprehensive discussion of infinitesimalgeometry. In this treatise, Leibniz laid the rigorous foundation of thetheory of infinitely small and infinite quantities or, in other words,of the theory of quantified indivisibles. In modern terms Leibnizintroduced `Riemannian sums' in order to demonstrate the integrabilityof continuous functions. The (...) article deals with this demonstration,with Leibniz's handling of infinitely small and infinite quantities,and with a general theorem regarding hyperboloids. (shrink)

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes. Yanofsky describes (...) simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known. Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there. (shrink)

These two volumes form a full portrait of Hans Reichenbach, from the school boy and university student to the maturing and creative scholar, who was as well an immensely devoted teacher and a gifted popular writer and speaker on science and philosophy. We selected the articles for several reasons. Many of them have not pre viously been available in English; many are out of print, either in English or in German; some, especially the early ones, have been little known, (...) and deal with subject-matters other than philosophy of science. The genesis and evolu tion of Reichenbach's ideas appeared to be of deep interest, and so we in cluded papers from four decades, despite occasional redundancy. We were, for example, pleased to include his extensive review article from the encyclo pedic Handbuch der Physik of 1929 on 'The Aims and Methods of Physical Knowledge', written at a time of creative collaboration between Reichenbach's Berlin group and the Vienna Circle of Schlick and Carnap. Reichenbach was a pioneer, opening new pathways to the solution of age-old problems in many fields: space, time, causality, induction and probability - philosophical analysis and interpretation of classical physics, relativity and quantum physics - logic, language, ethics, scientific explanation and methodology, critical appreciation and reconstruction of past metaphysical thinkers and scientists from Plato to Leibniz and Kant. Indeed, his own philosophical journey was initiated by his passage from Kant to anti-Kant. (shrink)

The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's creative intellectual powers; second, by inviting a fresher approach to his intellectual growth and a clearer perception of the internal strains in his thinking, through a chronological arrangement. Much confusion has arisen in the past through a neglect of the develop (...) ment of Leibniz's ideas, and Couturat's impressive plea, in his edition of the Opuscu/es et fragments (p. xii), for such an arrangement is valid even for incomplete editions. The beginning student will do well, however, to read the maturer writings of Parts II, III, and IV first, leaving Part I, from a period too largely neglected by Leibniz criticism, for a later study of the still obscure sources and motives of his thought. The Introduction aims primarily to provide cultural orientation and an exposition of the structure and the underlying assumptions of the philosophical system rather than a critical evaluation. I hope that together with the notes and the Index, it will provide those aids to the understanding which the originality of Leibniz's scientific, ethical, and metaphysical efforts deserve. (shrink)

Mates’ book has already been widely read and justly praised. It is full of clear, interesting arguments on most of the topics which engage contemporary readers of Leibniz, expertly and extensively marshalls texts, and includes a short but unusually good biography and outline of Leibniz’s system. Since I write here for an unusually well-informed and well-motivate audience, I allow myself compressed formulations of controversial arguments, antecedently acknowledging need for elaboration. I focus on a cluster of interconnected, central concerns: the nature (...) and role of nominalism, individual concepts, contingency, rational explanation, bestness and perception. (shrink)

"To those who suspect that metaphysics in general arises from use-mention confusion, it will come as no surprise that it is very difficult to set forth metaphysical doctrines while using quotation marks consistently and correctly". Those who share Benson Mates's suspicion will gain more from this book than those who suspect that no significant philosophical conclusion or error ever arose from use-mention confusion. That does not, however, preclude members of this second class of readers from learning a good deal from (...) the book. (shrink)

entry for the Stanford Encyclopedia of Philosophy (SEP) This entry will attempt to provide a broad overview of the central themes of Leibniz’s philosophy of physics, as well as an introduction to some of the principal arguments and argumentative strategies he used to defend his positions. It tentatively includes sections entitled, The Historical Development of Leibniz’s Physics, Leibniz on Matter, Leibniz’s Dynamics, Leibniz on the Laws of Motion, Leibniz on Space and Time. A bibliography arranged by topic is (...) also included. A working draft is available here (comments, as always welcome): draft. (shrink)

Leibniz’s short letter to the mathematician and physicist Ludovico Casati of 1689 is a short but interesting text on the Principle of Identity of Indiscernibles, to which it is entirely dedicated. Since there is no watermark in the paper of the letter, the letter is difficult to date, but it is likely that it was written during Leibniz’s stay in Rome, sometime between April and November of 1689 (A 2 2 287–8). When addressing the letter, Leibniz wrote ‘Casani’, but this (...) seems to be a mistake and the real addressee is thought to be Ludovico Casati, nephew of Paolo Casati, the Jesuit mathematician. The letter, reproduced in the Berlin’s Academy edition of Leibniz’s works, was first published by Gerhardt in the Archiv für Geschichte der Philosophie in 1892 (Gerhardt 1892: 53–54). It also appears in Robinet’s Iter Italicum (Robinet 1988: 134–35). But neither Gerhardt nor Robinet provide a philosophical discussion of the letter, and I am not aware of any other philosophical discussion of it. Furthermore, as far as I know, the letter has never been translated into any language. Thus I shall here provide a transcription (from A 2 2 288–89) and a translation of the letter into English, and a philosophical discussion of its treatment of the Identity of Indiscernibles. (shrink)

In the New Essays on Human Understanding, Leibniz argues chapter by chapter with John Locke's Essay Concerning Human Understanding, challenging his views about knowledge, personal identity, God, morality, mind and matter, nature versus nurture, logic and language, and a host of other topics. The work is a series of sharp, deep discussions by one great philosopher of the work of another. Leibniz's references to his contemporaries and his discussions of the ideas and institutions of the age make this (...) a fascinating and valuable document in the history of ideas. The work was originally written in French, and the version by Peter Remnant and Jonathan Bennett, based on the only reliable French edition (published in 1962), first appeared in 1981 and has become the standard English translation. It has been thoroughly revised for this series and provided with a new and longer introduction, a chronology on Leibniz's life and career and a guide to further reading. (shrink)

This volume is a critical edition of the ten-year correspondence between Gottfried Wilhelm Leibniz, one of Europe’s most influential early modern thinkers, and Bartholomew Des Bosses, a Jesuit theologian who was keen to bring together Leibniz’s philosophy and the Aristotelian philosophy and religious doctrines accepted by his order. The letters offer crucial insights into Leibniz’s final metaphysics and into the intellectual life of the eighteenth century. Brandon C. Look and Donald Rutherford present seventy-one of Leibniz’s and Des Bosses’s (...) letters in the original Latin and in careful English translation. Few of the letters have been translated into English before. The editors also provide extensive annotations, deletions, and marginalia from Leibniz’s various drafts, and a substantial introduction setting the context for the correspondence and analyzing the main philosophical issues. (shrink)

This paper is a new translation and interpretation of the essay by Leibniz which has come to be known as “Leibniz’s Philosophical Dream.” Leibniz used many different literary styles throughout his career, but “Leibniz’s Philosophical Dream” is unique insofar as it combines apparent autobiography with a dreamscape. The content is also somewhat surprising. The essay is reminiscent of Plato, insofar as Leibniz describes a transition from existence in a cave to a more enlightened mode of being outside of it. But, (...) in contrast with the usual identification of Leibniz as a “rationalist,” the mode of being that is valorised involves cognition that is intuitive and supra-rational. The paper begins with the translation followed by an interpretation of the essay. I conclude by considering the ramifications of my interpretation for our conception of Leibniz’s philosophy. (shrink)

Although Leibniz's writing forms an enormous corpus, no single work stands as a canonical expression of his whole philosophy. In addition, the wide range of Leibniz's work--letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions over a fifty-year period--heightens the challenge of preparing an edition of his writings in English translation from the French and Latin.

As a lifelong Lutheran who resisted numerous attempts by Catholic acquaintances to convert him, one might reasonably expect Leibniz to have followedthe orthodox Lutheran line on disputed doctrinal issues, and thus held amongst other things that the doctrine of purgatory was false. Yet there is strong evidencethat Leibniz personally accepted the doctrine of purgatory. After examining this evidence, I determine how Leibniz sought to justify his endorsement of purgatory and explain how his endorsement sits alongside his frequent rehearsal of familiar (...) Protestant arguments against the doctrine. I then examine some of Leibniz’s other theological and philosophical commitments, including those on the afterlife, in order to tentatively tease out further details of the form of purgatory that wonhis approval. In considering these issues, I aim to make clear the extent to which Leibniz’s philosophical thinking underpins and shapes his theological beliefs. (shrink)

This book draws on recent developments in research on Ferdinand de Saussure's general linguistics to challenge the structuralist doctrine associated with the Course in General Linguistics and to propose a phenomenological interpretation of Saussure's study of language.

This chapter contains sections titled: Introduction Hegel's Linguistic Inheritance Hegel's Early View of Language in the Jena Period (1804–1806) Language in the Jena Phenomenology of Spirit (1807) Language in Hegel's ‘Mature System’ ( The Encyclopedia of Philosophical Sciences ) (1818–1830) The Philosophy of Language: The Unwritten Volume.

This volume contains papers that represent Leibniz’s early thoughts on the problem of evil, centering on a dialogue, the Confessio philosophi, in which he formulates a general account of God’s relation to sin and evil that becomes a fixture in his thinking. How can God be understood to be the ultimate cause, asks Leibniz, without God being considered as the author of sin, a conclusion incompatible with God’s holiness? Leibniz’s attempts to justify the way of God to humans lead him (...) to deep discussion of related topics: the nature of free choice, the problems of necessitarianism and fatalism, the nature of divine justice and holiness. All but one of the writings presented here are available in English for the first time. (shrink)

This book examines John Locke's claims about the nature and workings of language. Walter Ott proposes an interpretation of Locke's thesis in which words signify ideas in the mind of the speaker, and argues that rather than employing such notions as sense or reference, Locke relies on an ancient tradition that understands signification as reliable indication. He then uses this interpretation to explain crucial areas of Locke's metaphysics and epistemology, including essence, abstraction, knowledge and mental representation. His discussion challenges (...) many of the orthodox readings of Locke, and will be of interest to historians of philosophy and philosophers of language alike. (shrink)

The Discourse on Metaphysics is one of Leibniz's fundamental works. Written around January 1686, it is the most accomplished systematic expression of Leibniz's philosophy in the 1680s, the period in which Leibniz's philosophy reached maturity. Leibniz's goal in the Discourse is to give a metaphysics for Christianity; that is, to provide the answers that he believes Christians should give to the basic metaphysical questions. Why does the world exist? What is the world like? What (...) kinds of things exist? And what is the place of human beings in the world? To this purpose Leibniz discusses some of the most traditional topics of metaphysics, such as the nature of God, the purpose of God in creating the world, the nature of substance, the possibility of miracles, the nature of our knowledge, free will, and the justice behind salvation and damnation. This volume provides a new translation of the Discourse, complete with a critical introduction and a comprehensive philosophical commentary. (shrink)

In General Inquiries on the Analysis of Notions and Truths, Leibniz articulates for the first time his favourite solution to the problem of contingency and displays the main features of his logical calculus. Leibniz composed the work in 1686, the same year in which he began to correspond with Arnauld and wrote the Discourse on Metaphysics. General Inquiries supplements these contemporary entries in Leibniz's philosophical oeuvre and demonstrates the intimate connection that links Leibniz's philosophy with the attempt (...) to create a new kind of logic. This edition presents the text and translation of the General Inquiries along with an introduction and commentary. Given the composite structure of the text, where logic and metaphysics strongly intertwine, Mugnai's introduction falls into two sections, respectively dedicated to logic and metaphysics. The first section ('Logic') begins with a preliminary account of Leibniz's project for a universal characteristic and focuses on the relationships between rational grammar and logic, and discusses the general structure and the main ingredients of Leibniz's logical calculus. The second section ('Metaphysics') is centred on the problem of contingency, which occupied Leibniz until the end of his life. Mugnai provides an account of the problem, and details Leibniz's proposed solution, based on the concept of infinite analysis. (shrink)

Offering an invaluable introduction to Leibniz's philosophy, this volume collects many of his most important texts, beginning with the Discourse on Metaphysics (1686), which marks the beginning of maturity in his ideas, and ending with the Monadology (1714), which was written in response to requests for a systematic, organized account of his overall philosophy. Also included in this volume are critical reactions to Leibniz's work by his contemporaries (Antoine Arnauld, Pierre Bayle, and Simon Foucher), together with (...) Leibniz's responses. All the texts are newly translated into English for this edition, and each is preceded by a summary explaining its background, structure, and content. (shrink)

This article examines the fundamental ontological significance that the category of perception has in philosophy of G.W. Leibniz, and establishes the connection between the category of perception and modern panpsychism. There is a problem of definition of protopsychic properties in modern panpsychism. The problem is expressed not only in the absence of such a definition, but also in the absence of a good strategy for finding possible candidates for the role of protopsychic property. To solve this problem, the author (...) considers the status of the monad as the center of perception in Leibniz’s monadology, as well as the question of the relation of different monads to each other. Based on Leibniz’s ideas, the following modifications for modern panpsychism have been proposed, among others. First, it was proposed that protopsychic properties be viewed as properties that represent all reality in some vague way, preventing the emergence of high-level psychic properties. Second, it was proposed that mental properties be viewed not as a combination of protopsychic properties, but as state of protopsychic properties. This means that to form high-level mental properties, protopsychic properties must not only form some system, but must also be partially blocked. The author also considers the question of whether it is possible to borrow the proposed ideas in modern panpsychism. The problem for this is the ontological differences between modern naturalistic panpsychism and Leibniz’s classical panpsychism. The article proposes three different strategies for dealing with this problem related to three interpretations of Leibniz’s philosophy. First, it is possible to limit ourselves to considering physics as a set of structural phenomena derived from the activity of monads. Second, it is possible to try to show that there is some other, non-causal, type of relationship between the monads. Third, it is possible to consider this system as naturalistic pantheism and assume that God is a mediator and a common non-spatial coordinate system through which the monads agree with each other. (shrink)