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 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)

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)

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)

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)

In this paper the cosmological argument of Gottfried-Wilhelm Leibniz is revisited. We propose an interpretation of the argument as being an argument based on the structure of the logical space of all abstract facts. For this we view Leibnizian philosophy as providing a picture theory of language. This structure is given by the metaphysical foundations of Leibnizian philosophy: Leibniz’s theory of truth in the form of praedicatum inesse subiecto, the Principle of Sufficient Reason and the distinction between (...) necessary and contingent facts. The theory of truth is interpreted as being provided by a formal calculus of abstract concepts in the sense of Edward Zalta. The other metaphysical requirements are also briefly discussed. Using these the structure on logical space is realised by an antisymmetric, transitive relation which admits arbitrary joins. Such a relation must admit a minimum, which is interpreted as the existence of God. This interpretation entails the difficulties of explicating existence in Leibniz’s metaphysics, which are also discussed. (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)

This study of the metaphysics of G. W. Leibniz gives a clear picture of his philosophical development within the general scheme of seventeenth-century natural philosophy. Catherine Wilson examines the shifts in Leibniz's thinking as he confronted the major philosophical problems of his era. Beginning with his interest in artificial languages and calculi for proof and discovery, the author proceeds to an examination of Leibniz's early theories of matter and motion, to the phenomenalistic turn in his theory of (...) substance and his subsequent de-emphasis of logical determinism, and finally to his doctrines of harmony and optimization. Specific attention is given to Leibniz's understanding of Descartes and his successors, Malebranche and Spinoza, and the English philosophers Newton, Cudworth, and Locke. Wilson analyzes Leibniz's complex response to the new mechanical philosophy, his discontent with the foundations on which it rested, and his return to the past to locate the resources for reconstructing it. She argues that the continuum-problem is the key to an understanding not only of Leibniz's monadology but also of his views on the substantiality of the self and the impossibility of external causal influence. A final chapter considers the problem of Leibniz-reception in the post-Kantian era, and the difficulty of coming to terms with a metaphysics that is not only philosophically "critical" but, at the same time, "compensatory.". (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)

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)

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.

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)

This study of the metaphysics of G. W. Leibniz gives a clear picture of his philosophical development within the general scheme of seventeenth-century natural philosophy. Catherine Wilson examines the shifts in Leibniz's thinking as he confronted the major philosophical problems of his era. Beginning with his interest in artificial languages and calculi for proof and discovery, the author proceeds to an examination of Leibniz’s early theories of matter and motion, to the phenomenalistic turn in his theory of substance (...) and his subsequent de-emphasis of logical determinism, and finally to his doctrines of harmony and optimization. Specific attention is given to Leibniz’s understanding of Descartes and his successors, Malebranche and Spinoza, and the English philosophers Newton, Cudworth, and Locke. Wilson analyzes Leibniz’s complex response to the new mechanical philosophy, his discontent with the foundations on which it rested, and his return to the past to locate the resources for reconstructing it. She argues that the continuum-problem is the key to an understanding not only of Leibniz’s monadology but also of his views on the substantiality of the self and the impossibility of external causal influence. A final chapter considers the problem of Leibniz-reception in the post-Kantian era, and the difficulty of coming to terms with a metaphysics that is not only philosophically "critical" but, at the same time, “compensatory.” Originally published in 2050. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

What I intend to show is that the Leibnizian language studies—the formal ones as well as those on natural languages—from his early plans for academies and language societies on up to his studies of etymology and to his interest in foreign languages and in logical, geometrical, arithmetical, and other formal calculi, has to be seen as an important contribution to the idea of enlightenment. Their importance was such that Christian Wolff was able to transform the Leibnizian ideas into (...) the mighty movement of Leibniz-Wolffian metaphysics, a movement paralleled to the tradition of Thomasius. Both tradiions later found their unification in Kant’s critical philosophy. (shrink)

This book develops the general theory of language implicitly contained in the writings of G.W.F. Hegel. It offers novel readings of Hegel's central works in order to explain his views on some long neglected topics and as such demonstrates that his accounts of representation, the concept and the speculative sentence can be used to create sophisticated theories of language acquisition, universal grammar and linguistic practice. Hegel's defence of a scientific philosophy that is necessary and universal seems to (...) eliminate the need for a philosophical linguistics. Since thought is demonstrably objective in itself, questions about the language through which it is expressed appear to be external to philosophy. This has caused many commentators to neglect the real problems that the historical and cultural associations of language pose for the adequate expression of universal thought. Others, exploiting this apparent inadequacy, have argued that the lack of rigorous linguistic analysis in Hegel's philosophy is its greatest, and perhaps fatal, flaw. Although the very idea of a Hegelian linguistics is controversial, this book argues that there are resources within the texts of Hegel for developing a general theory of language as the reciprocal grounding of a universal grammatical form and a particular lexical content. Moreover, it uses this theory to resolve the apparent tension between the necessity of Hegelian philosophy and the contingency of its linguistic expression. In the light of Hegel's critical relation to contemporary debates in Continental and Anglo-American philosophy, coupled with the central role that philosophy of language plays in both streams, this important new study offers the first comprehensive, integrated and fully developed analysis of Hegel's theory of language. (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)

This book traces the development of Coleridge's philosophy of language, situating it in the intellectual climate of his era. James C. McKusick offers the persuasive and original argument that Coleridge's linguistic theories for a coherent body of thought underlying his poetry, criticism, and aesthetics.

This book is an introduction to and interpretation of the philosophy of language devised by Donald Davidson over the past 25 years. The guiding intuition is that Davidson's work is best understood as an ongoing attempt to purge semantics of theoretical reifications. Seen in this light the recent attack on the notion of language itself emerges as a natural development of his Quinian scepticism towards "meanings" and his rejections of reference-based semantic theories. Linguistic understanding is, for Davidson, (...) essentially dynamic, arising only through a continuous process of theory construction and reconstruction. The result is a conception of semantics in which the notion of interpretation and not the notion of knowing a language is fundamental. In the course of his book Bjorn Ramberg provides a critical discussion of reference-based semantic theories, challenging the standard accounts of the principle of charity and elucidating the notion of radical interpretation. The final chapter on incommensurability ties in with the discussions of Kuhn's work in the philosophy of science and suggests certain links between Davidson's analytic semantics and hermeneutic theory. (shrink)

In his New Essays on Human Understanding, Leibniz presents an extended critical commentary on Locke’s Essay Concerning Human Understanding. Leibniz read some of Locke’s work in English and then, a few years later, the whole of it in French, a language in which he was more comfortable. Over a period of about two further years, on and off, he wrote his New Essays, which he finished at about the time Locke died and which was not published until about half (...) a century after Leibniz’s death. (He left them unpublished partly because they had been motivated by a hope of getting Locke to reply, and Locke’s death put an end to that; though his character made it a forlorn hope in any case.) The New Essays has been an important work: for one thing, Kant read it on its first appearance, and scholars say that this was a decisive event in his philosophical development. Anyway, given that this is one of Leibniz’s only two philosophical works of substantial book length, in all the torrent that poured from his pen, and given also that it is focused - critically but with respect and careful attentiveness - on the greatest classic of English philosophy, it is surprising that the New Essays had to wait until 1981 for a usable English translation.1 In 1896 there was published a sort of translation by A. G. Langley;2 but it is inaccurate far beyond the bounds of normal incompetence, as well as being grimly unreadable for stylistic reasons. As Chesterton once said about The Origin of Species, it is surprising how many people think they have read it, but I'll bet that nobody alive has slogged through the Langley version from cover to cover. It is a pity that the work was not decently available in English for nearly three centuries, because even for those who can read the French of, say, Descartes, Leibniz’s French is difficult. He reserved his native German for writings on history and politics, using French and Latin for philosophy and mathematics; presumably French was chosen for the New Essays because Leibniz wanted to respond to a popular work by a popular work.. (shrink)

There are sixty-two selections in this anthology. Most of them are around eight pages, none of them over eighteen pages, and a few running less than three. Although the passages are short, they are well selected. Each presents one or two provocative ideas without the laborious development and defense that so often discourages, bores, or stifles the enthusiasm of the student coming to the material for the first time. Practically all the selections are from nineteenth and twentieth century thinkers, although (...) Hume, Kant, Aquinas, Augustine, Anselm, Leibniz, and Spinoza are represented. There are seven main parts, each with a too brief introduction by the editors attempting to introduce and integrate the various selections within it. These parts cover the nature of religion, its relation to philosophy, the existence of God, the knowledge of God, religious language, the problem of evil, immortality and eschatology. Existential, analytic, confessional, and process thought are all represented. This second edition is larger and more up-to-date than the 1962 edition, with the nine deletions replaced with selections by Whitehead, Otto, van Buren, Kai Nielsen, and Ninian Smart. More attention is paid to the ontological argument. Schleiermacher's contribution has been changed, and Feuerbach's enlarged. Hartshorne now has an additional entry. The critical bibliographies of suggested readings after each section have been expanded and brought up to date.--S. O. H. (shrink)

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

The only extensive study that Leibniz ever made of an English-language book, his New Essays on John Locke’s 1690 Essay Concerning Human Understanding, was based not on the English original, but on a French translation. And his correspondence with English scholars and political figures was invariably written in Latin or French. In consequence the impression is widespread among Anglophone Leibnizians that he did not know English. However, considerable evidence has come to light in recent years that Leibniz did somehow (...) manage to acquire a capacity to handle the language in its written form. (shrink)

The Polish logicians' propositional calculi, which consist in a distinct synthesis of the Fregean and Boolean approaches to logic, influenced W. V. Quine's early work in formal logic. This early formal work of Quine's, in turn, can be shown to serve as one of the sources of his holistic conception of natural language.

It has recently been suggested that, for Leibniz, temporal facts globally supervene on causal facts, with the result that worlds differing with respect to their causal facts can be indiscernible with respect to their temporal facts. Such an interpretation is at variance with more traditional readings of Leibniz’s causal theory of time, which hold that Leibniz reduces temporal facts to causal facts. In this article, I argue against the global supervenience construal of Leibniz’s philosophy of time. On the view (...) of Leibniz defended here, he adopts a non-modal reduction of time to events, a form of reductionism that entails a strong covariation between a world’s temporal facts and its causal facts. Consequently, worlds discernible with respect to their temporal facts must be discernible with respect to their causal facts, and worlds discernible with respect to their causal facts must be discernible with respect to their temporal facts. This position strongly favors the standard identificatory reduction of time to causation often imputed to Leibniz. (shrink)

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.

A systematic reconstruction of Adorno’s philosophy of language in the framework of contemporary linguistic philosophy.

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)

The book is published in the International Library of Philosophy and Scientific Method. It proceeds under the assumption that the Tractatus and the later works of Wittgenstein are mutually illuminating. The general program is to present the Tractarian picture theory, to explain why it was abandoned and a new theory of language adopted, and to explicate the new theory of use. Conceptually the book is arranged around the problem of intentionality. Bogen believes that Wittgenstein’s chief concern was with (...) the problem of false belief. (shrink)

Zu einer bestimmten Zeit war Leibniz der Überzeugung, die Naturgesetze seien aus dem Begriff der Materie als dessen, was Raum erfüllt, ableitbar. Der Autor zeigt, wie Leibniz unter dem Einfluß von Huygens zur Aufgabe dieser Überzeugung gelangte. Ferner diskutiert er die Prinzipien, die Leibniz in seiner Philosophie der Wissenschaft zu benutzen begann, und zwar die Prinzipien des Grundes, des Besten, der Kontinuität, der größten Mannigfaltigkeit und der größten Determiniertheit. Er erläutert außerdem die Argumente, die Leibniz aus der Physik für die (...) Wiedereinführung der substantiellen Formen herleitete, und legt dar, daß nichts von dem, was Leibniz über die substantiellen Formen sagt, irgendetwas zur Rechtfertigung des Kraftgesetzes, das einen Teil seiner Physik bildet, beiträgt. (shrink)

Still wanting is a systematic examination of the various aspects of his analytic method which, collectively, give to his philosophy of language its ...

This paper is based on the "cratylus", although there is occasional reference to other dialogues. In plato's contrast between the language of the gods and the language of mortals, we may discern something like the contrast between ideal and ordinary language. By names he means terms which have both reference and sense necessarily; such terms are also verbs, for verbs are names of actions and actions are realities; for instance, a blow. The criterion for the identity of (...) names is that they mean the same thing. "statements".unlike names, statements have meaning without necessarily having any reference. A word is a name "only" if what it names exits, whereas a statement may be false. A statement achieves meaning by purely internal criteria as to its composition. "the structure of statements". A statement is not a list of names; it is a unity and has meaning only in its character as a unity. Ryle's view that the terms in a sentence are not independent constituents and that their meaning is contextual is presented. The author concludes that plato is undecided on this matter. (shrink)

This paper argues for an interpretation of Leibniz’s claim that physics requires both mechanical and teleological principles as a view regarding the interpretation of physical theories. Granting that Leibniz’s fundamental ontology remains non-physical, or mentalistic, it argues that teleological principles nevertheless ground a realist commitment about mechanical descriptions of phenomena. The empirical results of the new sciences, according to Leibniz, have genuine truth conditions: there is a fact of the matter about the regularities observed in experience. Taking this stance, however, (...) requires bringing non-empirical reasons to bear upon mechanical causal claims. This paper first evaluates extant interpretations of Leibniz’s thesis that there are two realms in physics as describing parallel, self-sufficient sets of laws. It then examines Leibniz’s use of teleological principles to interpret scientific results in the context of his interventions in debates in seventeenth-century kinematic theory, and in the teaching of Copernicanism. Leibniz’s use of the principle of continuity and the principle of simplicity, for instance, reveal an underlying commitment to the truth-aptness, or approximate truth-aptness, of the new natural sciences. The paper concludes with a brief remark on the relation between metaphysics, theology, and physics in Leibniz. (shrink)