Leibniz: Philosophy of Language

This article deals with an alternative interpretation of syllogistics, different from the classical one: an intensional one, in which subject and predicate are not associated with a set of individuals but a set of attributes. The authors of the paper draw attention to the fact that this approach was first proposed by Leibniz in works on logical calculus, which for a long time remained in the shadow of his other philosophical works. Currently, the intensional approach is gaining more and more (...) popularity due to the development of non-classical logics, and the article will present several existing intensional formal syllogistic semantics. The paper will also consider another historical approach to syllogistics, associated with the name of the Russian logician Nikolai Vasiliev, who is not only one of the founders of non-classical but also of a different intensional interpretation of such logic. The authors, along with the already known formalizations of Vasiliev’s ideas, present two new systems. One of them is a reconstruction of one type of imaginary logic with statements of three qualities: affirmative and two types of negative statements. The second system is the one that is adequate to semantics, in which instead of the four classical ones, only three types of statements are presented, and their significance is determined through the relation of the classical logical entailment. Both of them are interpreted intensionally. The intensional approach in logic and, in particular, in syllogistics allows us to expand the class of accepted principles. (shrink)

Kant ascribes two radically different kinds of language—symbolic or pictorial (qua intuitive) and discursive languages—to the “Oriental” and “Occidental” peoples respectively. By his analysis, having a merely symbolic language suggests that the “Orientals” lack understanding—and hence the ability to form concepts and think in abstracto—as well as genius and spirit. Meanwhile, he establishes discursive language as a sine qua non of the continued progress of humanity, primarily because only by means of words—as opposed to symbols—can one think (not just intuit), (...) signify one’s thoughts exactly, and make them universally communicable. Without such a language, one would not be able to make one’s feelings moral or develop a true moral character. In short, humanity would not be able to obtain its cultural or moral ends without discursive language. -/- These points add up to an exclusionary view of progress according to which the Occidental whites alone are equipped with the requisite discursive skills and other talents (including genius and spirit) to accomplish advanced culture and pursue humanity’s moral destiny. The “Orient,” with its “childish language,” is consigned to the childhood of humanity. In holding this view, Kant has departed from some of his predecessors—such as Leibniz, whose vision of the future of humanity includes an East-West harmony facilitated by a “universal symbolism,” and Rousseau, who exalts a livelier connection with the world mediated by a pictorial language. -/- The contrast with Leibniz and Rousseau also suggests that we cannot chalk up Kant’s exclusionary view of progress to mere personal prejudices. His philosophy is what gives meaning to his statements about the nature of the “Oriental” language. That is, the exclusionary view of progress emerges only when we take into account his anti-Leibnizian conceptualization of symbolic language as merely intuitive, his view that humanity is teleologically oriented toward the unique sort of moralization that he envisioned in the Groundwork, and his view that reason must lead the way in humanity’s progress toward this supposed moral end, wherefore only discursive language can facilitate such progress. (shrink)

Philosophers often rely on the notion of conceptual containment and apply mereological terminology when they talk about the parts or constituents of a complex concept. In this paper, I explore two historical approaches to this general notion. In particular, I reconstruct objections Bernard Bolzano puts forward against a criterion that played a prominent role in the history of philosophy and that was endorsed, among others, by Leibniz. According to this criterion, a concept that represents objects contains all and only the (...) concepts that represent properties the objects must have in order to be represented by the former concept. Bolzano offers several counterexamples and arguments against the criterion. I argue that while some of them presuppose a strongly mereological understanding of containment, which Leibniz is not committed to, one of them also succeeds without relying on demanding mereological principles. (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)

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)

Leibniz's conceptual containment theory says that singular propositions of the form a is F are true when the complete concept of being a contains the concept of being F. In this paper, I provide a new semantics for first-order logic built around this idea. The semantics resolves longstanding problems for Leibniz's theory and can represent, without possible worlds, both hyperintensional distinctions among properties and a certain kind of presumably impossible situation that standard approaches cannot represent. The semantics also captures the (...) strong soundness and completeness of classical first-order logic. (shrink)

Članek obravnava Leibnizev načrt filozofskega jezika, t. i. »univerzalno karakteristiko«. Najprej izpostavimo dejstvo, da Leibnizev načrt temelji na določenem semiotičnem vidiku matematike, ki v kontekstu novoveške ideje matematizacije vseh znanosti predstavlja novost. Kakorkoli ima Leibnizev drzen načrt resne pomanjkljivosti, ki so nedvomno botrovale temu, da ni nikoli zares začel z njeno izvedbo, pa Leibniz črpa optimizem iz strogo platonistične zasnove svoje epistemologije, v kateri je karakteristika utemeljena. Karakteristika je v sami teoretski zasnovi mogoča le pod pogojem, da se zaveže klasičnemu (...) realizmu in se odpove tisti metodi filozofije zavesti, ki sta jo ustoličila Descartes in Locke. Iz tega, kaj karakteristika obljublja, in iz njene zavezanosti platonizmu pa je videti, da se karakteristika kot jezik narave v ključnih potezah zgleduje po neki tradiciji mišljenja jezika, ki ima svoj začetek v Platonovem Kratilu in ima v Leibnizevem času še vedno svoje zagovornike. (shrink)

This essay argues that, with his much-maligned “infinite analysis” theory of contingency, Leibniz is onto something deep and important – a tangle of issues that wouldn’t be sorted out properly for centuries to come, and then only by some of the greatest minds of the twentieth century. The first two sections place Leibniz’s theory in its proper historical context and draw a distinction between Leibniz’s logical and meta-logical discoveries. The third section argues that Leibniz’s logical insights initially make his “infinite (...) analysis” theory of contingency more rather than less perplexing. The last two sections argue that Leibniz’s meta-logical insights, however, point the way towards a better appreciation of (what we should regard as) his formal theory of contingency, and its correlative, his formal theory of necessity. (shrink)

I claim that a genealogy of the philological racism known as ‘orientalism’ should include Leibniz as a founding figure. This argument is framed and motivated by recent publications that seek to exclude Leibniz from the history of race and racism by arguing that he insists on a linguistic, rather than ‘racial,’ schematic of human diversity. A survey of nineteenth-century race theory reveals that this distinction is not only specious, but these recent defenses only further implicate Leibniz in the linguistic tradition (...) that is orientalist racism. (shrink)

In this paper, an interpretation of "necessity", inspired by a Leibnizian idea and based on the method of dialogical logic, is introduced. The semantic rules corresponding to such an account of necessity are developed, and then some peculiarities, and some potential advantages, of the introduced dialogical explanation, in comparison with the customary explanation offered by the possible worlds semantics, are briefly discussed.

La conexión interna entre lengua universal, característica y cálculo (lógico) viene establecida por la unidad de un método lógico–epistemológico que comprende los varios sistemas característicos construidos por Leibniz como progresivas aproximaciones a la lengua universal, concebida como la lengua perfecta, cuyos caracteres expresan los requisitos de las cosas y mediante el análisis de esos caracteres podemos acceder al conocimiento de las mismas. La lengua característica posibilita la expresabilidad y la comunicabilidad de los pensamientos, de las nociones y de su combinación; (...) prohíbe el solipsismo metodológico, propio de la teoría cartesiana del conocimiento; elimina la pretensión de un acceso privilegiado a la experiencia de lo verdadero; y posibilita, a la vez que exige, la intersubjetividad en las demostraciones. Por eso los caracteres tienen tanta mayor utilidad cuanto más expresan la noción de la cosa designada; siendo los mejores aquellos que pueden servir no sólo para representar sino también para razonar. Mediante el uso de caracteres de esta lengua se puede demostrar la verdad «solo calculo»; «es posible detectar los errores del razonamiento a través de la propia formación y construcción de los vocablos» (AA VI, 4, 919 / OFC 5, n.º 49); y se consigue dirimir las controversias imponiendo silencio a las sectas . Los caracteres de esta lengua, en tanto que expresan fielmente las nociones y las relaciones entre ellas, se rigen por las leyes de la «gramática filosófica», que prescribe los principios de todo conocimiento. Con «la característica general o cálculo» Leibniz busca generalizar el ideal metodológico de precisión y rigor, prefigurado por entonces en las matemáticas, extendiéndolo al entero campo del saber, y convirtiéndolo así en el método general, en «el verdadero método». En este proyecto, invariante en lo esencial, trabaja Leibniz durante toda su vida . Con la compilación de los siguientes textos en los límites (siempre estrechos para la ingente producción leibniziana) del presente volumen, hemos pretendido ofrecer una muestra significativa de las contribuciones de Leibniz en sucesivas etapas de su vida intelectual, a su proyecto de lengua universal, característica y lógica. (shrink)

In this paper, we consider what is commonly referred to as Leibniz’s argument for primitive concepts. After presenting and criticizing (in sections 1 and 2) one recent rather straightforward way of interpreting this argument, by Paul Lodge and Stephen Puryear, which takes the argument to be merely about the structure of concepts, we offer an alternative way of looking at the argument. We think it is best seen as being fundamentally about the relation between thought and reality. In order to (...) prepare the ground for our reconstruction (which we present in section 5), we have to introduce his view of ideas or concepts (section 3), as well as some metaphysical principles concerning reality-dependence (section 4). (shrink)

The topic of my paper is the virtual controversy between Leibniz and Lockeover concepts and ideas. At the end of the 17th century John Locke made a crucial contribution to semantics and philosophy: An Essay Concerning Human Understanding. The work represents a decisive turning point for the discussion about ideas and innatism. Indeed, Locke’s aim was to dismantle the Cartesian theory according to which ideas are innate in our soul. Against this onto-epistemological thesis, Locke maintains that all our knowledge starts (...) off with experience: ideas are mental representations depending on subjects’ sensual experiences and reflection skills. Some years later, in his notes on Locke’s Essay, Leibniz writes that Locke dealt with a fundamental topic: human understanding and the limits of human knowledge (NE p. 4). All we can find out about the world is determined by answering the question about what we can know; nonetheless, Leibniz argues in favor of innate ideas. My thesis is that in his opinion Locke’s empiricism can be conciliated with the assumption that there are innate ideas. (shrink)

Eine Untersuchung der Präpositionen bei Leibniz kann aufgrund ihrer synkatego-rematischen Natur zeigen, in welchem Sinne die Sprache - als strukturiertes, bedeutendes Zeichensystem – das logische Verhältnis unter den Notionen ausdrü-cken kann, und damit der Zusammenhang zwischen Grammatik und Semantik einerseits, und Logik anderseits, erhellen. Meiner Ansicht nach bekommt auch Leibniz' Versuch des Aufbaus einer characteristica universalis dank dieser Per-spektive ein neues Forschungsinteresse. Um das Interesse für diese Redeteile zu wecken, werde ich zuvor in einem kurzen Exkurs die vorgängige Tradition dar-stellen. (...) Das Ziel ist, zu zeigen, was die Unterscheidung zwischen Kategoremen und Synkategoremen innerhalb der Tradition der sogenannten Mentalsprache im-pliziert; welche Fragen ihre Analyse erhoben hat und was diese Unterscheidung bei einem für Leibniz wichtigen Denker, wie Joachim Jungius, bedeutet. Beson-ders zeige ich, wie die Unterscheidung Kategoreme – Synkategoreme der zwi-schen Begriff und modi des Begreifens entspricht. Danach analysiere ich die viel-fältige Betrachtung dieser Redeteile bei Leibniz in Bezug auf seine Zurückfüh-rung der Präpositionen auf eine räumliche Grundbedeutung. Zum Schluss versu-che ich zu zeigen, warum diese Redeteile als cogitationes caecae bei Leibniz interpretiert werden können und welche Schlüsse man aus dieser Bestimmung im Rahmen von Leibniz‟ Sprachphilosophie ziehen darf. (shrink)

La théorie leibnizienne de l'expression, centrée sur la notion de relation, introduit, entre les mots des langues naturelles et la pensée, un rapport qui n'est pas seulement de représentation. Elle introduit également une parenté entre langues naturelles et langages formels. L'objectif de l'article est de mener une confrontation entre l'analyse par Leibniz des relations dans les langues naturelles et dans les langages symboliques afin de mettre en évidence leurs analogies. L'article cherchera à montrer : l'existence d'une double articulation dans les (...) langues naturelles et les langages formels tels que les conçoit Leibniz ; le caractère mathématique de son analyse des prépositions ; l'arrière-plan logique de son analyse des dérivations sémantiques. (shrink)

In Part 1 of this short book, Rescher provides an overview of the nature and source of Leibniz’s interest in the theory and practice of cryptanalysis, including his unsuccessful bid to secure an apprentice for John Wallis (1616-1703) with a view to perpetuating the Englishman’s remarkable deciphering abilities. In Part 2, perhaps the most interesting part of the book, Rescher offers his account of the inner workings of Leibniz’s cipher machine. Part 3 provides a brief pictorial history of such machines (...) and related technologies. Finally, in Part 4 Rescher analyzes some of Leibniz’s own relatively scant attempts at decryption. Though there is little of direct philosophical interest in this work, its account of Leibniz’s forays into the field of encryption and in particular its reconstruction of his remarkable machine are fascinating and should hold considerable appeal for those interested in Leibniz’s pursuits more broadly and in the histories of cryptography and machine design. (shrink)

The account of vagueness Bertrand Russell provided in his 1923 paper, entitled simply “Vagueness” (see Russell [1923]1997), has been thought by some to be inconsistent. One main objection, raised by Timothy Williamson (1994), is that Russell’s attempt early in the paper to distinguish vagueness from generality is at odds with the definition of vagueness he presents later in the same paper. It is as if, as Williamson puts it, Russell “backslides” from his previous distinction (1994, 60), resulting in a conflation (...) of generality and vagueness that is at best problematic for a rigorous account of the phenomenon of vagueness. In this paper, I will defend Russell from this particular objection. While his 1923 paper may not be as clear at various points as one might hope, I do believe it is possible to construct a single theory of vagueness that can be applied equally well to his earlier and later discussions. Thus, Russell’s view is not ultimately inconsistent. In this paper, I will first present the interpretation of Russell’s concept of vagueness that falls prey to the charge of conflating vagueness and generality. Once the problem is clear, I will present an alternative interpretation, one that arises from certain reflections on G. W. Leibniz’s theory of perception. This Leibnizian interpretation of Russell, I will argue, resolves the apparent contradiction in Russell’s account of vagueness. (shrink)

The theses in this book are: 1) the tension between the Leibnizian theory of the tropes and their use is resolved in a "pragmatic of discourse" that gives the metaphor a richer dimension than the theorized one, that is, that of "a mechanism capable of combining elements coming from different conceptual spaces into a new metaphorical conceptual space, 'shapeless' to which the metaphor itself provides an adequate language to describe and structure it"; 2) the role of metaphors is placed for (...) Leibniz in the context of a 'multi-method' idea that combines the inventive and the formalizing moment and allows for a multiplicity of directions; 3) the Leibniz system is organized according to a 'logic' that is not deductive but analogical; 4) the valid relations in the system are not only connections of a logical nature; on the contrary, the organization is 'reticular', and the primacy of a relation depends from time to time on the prevalence assigned to a metaphor according to the problem being faced; 5) Leibniz's central metaphors are "emerging parts of a wider submerged translation", i.e. they are both expression and conceptualizing vehicle of a cognitive strategy that wants to govern the complexity of knowledge by organizing it around themes; this strategy is alternative to the Cartesian formulation of "Method" based on the disjunction of objects and notions and instead gives philosophical expression to the Baroque sense of the constant mutability that rules the world. (shrink)

The purpose of the article is to present John Yench’s a priori language as a continuation of Leibniz’s idea. Before I proceed to show the project of the Inter-Disciplinary International Reference Language, I would like to discuss the development of Gottfried Wilhelm Leibniz’s view on artificial languages. I will try to show the evolution of Leibniz’s universal language: from its ideal conception to a tool which formalizes the whole of human knowledge. Also, I will show Leibniz’s influence on further ideas (...) of artificial language. I will compare his projects with Yench’s language – Idirl. An analysis of Idirl’s main assumptions will be useful to show the degree of continuation of Leibniz’s ideas in the a priori language of John Yench. (shrink)

Conceptual atomism is a doctrine deeply rooted in the tradition of western thought. It originated with Aristotle, was present in the entire Aristotelian tradition and came to its most pure expression in the work of Leibniz. However, ab initio this doctrine suffered from certain difficulty labelled traditionally “aporia generis”, namely the problem of how it is possible to reconcile the absolute simplicity of the primitive concepts (or ultimate differentiae) with the existence of transcendental concepts, that is, concepts necessarily included in (...) every concept. In this paper the entire problem is subject to an analysis and a solution is suggested, based on a distinction between two different kinds of conceptual containment: the primitive concepts do not contain the transcendentals formally, that is, as constituents thatcan be revealed by means of definitional analysis, but they nevertheless do contain them virtually, that is, they strictly imply them. It is noted that the germ of this solution is already present in Aristotle. (shrink)

Despite holding that all concepts are strictly speaking innate, Leibniz attempts to accommodate the common belief that at least some concepts are adventitious by appealing to his theory of ideal action. The essential idea is that an innate concept can be considered adventitious, in a sense, just in case its ideal cause is to be found outside the mind of the one who possesses the concept. I explore this attempt at accommodation and argue that it fails. [See external link for (...) English draft.]. (shrink)

The Dissertatio praeliminaris is one of the early works of Leibniz in which he proposes an elaborate critique, while presenting his own principles. In accepting several points of Nizolius's philosophy, the young Leibniz tries moreover to defend theses which have constituted the basis of many of his later theories. Three major topics will be examined in this article. First, the question of definition, which is taken from a grammar point of view, where clarity is, in fact, the only criterion to (...) establish the signification of words in usage. Second, perhaps the most important, concerns the problem of nominalism that puts Nizolius in opposition with Leibniz: they do not agree on the determination of signification, meaning whether it stands on conventions or on mental concepts. Third, the link between demonstration and induction as a consequence of a nominalistic approach is also discussed in Leibniz's preface. We are thus better able to understand the origins of Leibniz's philosophical reflection. (shrink)

The article deals with the issue of public items (objects, processes, events) in the philosophy of Leibniz. Starting from the famous passage of the Monadology which illustrates his conception of the substance by the image of a city perceived from different perspectives, the author shows how Leibniz conceives the public character of certain items, i.e. the reality of the phenomena that express them, not only in disagreement with the causal model, according to which public items would be the causal source (...) of shared perceptions, but in disagreement even with the correspondence model, according to which shared perceptions would correspond to external objects. The key to understand the position of Leibniz is rather to look at his concept of the compossible, which makes it possible to explain the congruence between shared perceptions without having to resort to the concept of correspondence. (shrink)

On its face, Leibniz's argument for primitive concepts seems to imply that unless we can analyze non-primitive concepts into their primitive constituents, we cannot grasp them. This implication, together with Leibniz's belief that we do conceive of some non-primitive concepts, entails that we can analyze some non-primitive concepts into their primitive components. However, Leibniz claims elsewhere that we are incapable of doing this. To resolve this inconsistency, I argue that, for Leibniz, grasping a concept is not an all-or-nothing affair; instead (...) we possess concepts in degrees. When reinterpreted in line with this, Leibniz's argument can avoid the inconsistency. (shrink)

In seiner Dissertano de arte combinatoria entwickelt G. W. Leibniz eine Methode, um Prädikate von einem Subjekt und Subjekte zu einem Prädikat zu finden, und er stellt eine Formel auf, um deren Anzahl zu berechnen. Ich möchte im Folgenden erläutern, wie diese Methode funktioniert und warum sie sowohl einen Teil der, wie Leibniz es nennt, logica inventiva als auch eine direkte Folge seiner Variationslehre bildet, die den zentralen Teil seiner Dissertano ausmacht. Im letzten Abschnitt dieses Beitrages werde ich auf einige (...) theoretische und historische Zusammenhänge zwischen der logica inventiva und der aristotelischen Logik eingehen. Insbesondere werde ich erläutern, in welcher Weise Leibniz' Methode mit einigen traditionellen Versuchen in Verbindung steht, die tota minora eines gegebenen Terms zu bestimmen, und ob die aristotelische Theorie der kategorischen Propositionen in der Lage war, Leibniz' Methode zum Auffinden von Subjekten und Prädikaten innerhalb der logica inventiva zu begründen. (shrink)

In this paper is aproached the Leibnizian project for a General Characteristics. Intended as a instrument to help the limitations and deficiencies of the natural human reason, the General Characteristcs presents itself moreover as a tool for expanding the power of the human thought by adopting and generalizing the methods of the algebraic representation. This goal however entails a difficulty when it is attempted to define with accuracy the extent of the project. At first place appears the problematic relationships that (...) Characteristics maintains with the act of thinking. In our approach is defended the idea that Characterstics expands the power to thinking by improving its ‘semiotical’ nature. Moreover it is raised the issue of the multiplicity of the Characteristics. In fact, Leibniz presents the Caracteristics as a way to resolve a plurality of problems at once, but these many tasks cast serious doubts on the uniqueness of the project, since Leibniz develops actually a plurality of Characteristics. Our response to this issue is that uniqueness can be saved if it is considered the role that the Combinatorial Characteristics or Science of Formulae plays in the project for a General Characteristics. (shrink)

Speech act theory has taught us 'how to do things with words'. Arresting Language turns its attention in the opposite direction - toward the surprising things that language can undo and leave undone. In the eight essays of this volume, arresting language is seen as language at rest, words no longer in service to the project of establishing conventions or instituting legal regimes. Concentrating on both widely-known and seldom-read texts from a variety of philosophers, writers, and critics - from Leibniz (...) and Mendelssohn, through Kleist and Hebel, to Benjamin and Irigaray - the book analyzes the genesis and structure of interruption, a topic of growing interest to contemporary literary studies, continental philosophy, legal studies, and theological reflection. Arresting Language identifies critical moments in philosophical and literary texts during which language itself - without any identifiable speaker - arrests otherwise continuous processes and procedures, including the process of representation and procedures for its legitimization. (shrink)

This paper is concerned with the problem of the validity of Leibniz's principle of the identity of indiscernibles in physics. After briefly surveying how the question is currently discussed in recent literature and which is the actual meaning of the principle for what concerns physics, we address the question of the physical validity of Leibniz's principle in terms of the existence of a sufficient number of naming predicates in the formal language of physics. This approach allows us to obtain in (...) a formal way the result that a principle of the identity of indiscernibles can be justified in the domain of classical physics, while this is not the case in the domain of quantum physics. (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)

In this paper, the author develops a theory of concepts and shows that it captures many of the ideas about concepts that Leibniz expressed in his work. Concepts are first analyzed in terms of a precise background theory of abstract objects, and once concept summation and concept containment are defined, the axioms and theorems of Leibniz's calculus of concepts (in his logical papers) are derived. This analysis of concepts is then seamlessly connected with Leibniz's modal metaphysics of complete individual concepts. (...) The fundamental theorem of Leibniz's modal metaphysics of concepts is proved, namely, whenever an object x has F contingently, then (i) the individual concept of x contains the concept F and (ii) there is a (counterpart) complete individual concept y which doesn't contain the concept F and which `appears' at some other possible world. Finally, the author shows how the concept containment theory of truth can be made precise and made consistent with a modern conception of truth. (shrink)

The second volume of Jaakko Hintikka’s selected papers brings together essays from the decade 1986–96 concerning an often tacit distinction between “two competing overall views concerning our relationship to our language”. The first of these Hintikka characterizes as the view of language as lingua universalis, a single universal medium of communication; the second view, of language as calculus ratiocinator, is not meant to indicate that language is a “mere play with symbols” but rather that language “can be re interpreted like (...) a calculus”. (shrink)

Sprache mit Geld zu vergleichen, ist seit der Antike geläufig. Die heute verbreitete Meinung, daß dieser Topos immer die Konventionalität der Sprache zum Ausdruck bringe, ist jedoch irrig: zum einen sind beide Seiten des Vergleichs klärungsbedürftig, d.h. die Theorie der Geldzeichen ist ebensowenig selbstverständlich wie diejenige der Sprachzeichen; zum anderen sind Topoi als Argumentationsmittel ausgesprochen flexibel und relativ zum historischen Wissensstand. Eine ausführliche Einleitung untersucht die Bedeutung der Topik als spezifisches Arbeitsgebiet der Literaturwissenschaft im wissenschaftlichen Bereich.

There are two accounts of the relation between subject and predicate in Leibniz's writings. The former, which appears in De arte combinatoria, is based on an interpretation of this relation in terms of sum and parts and can be viewed as an anticipation of mereology. The latter, which operates after 1686, is based on an interpretation of this relation in terms of inherence. Metaphysical reasons, linked with the discovery of infinitesimal calculus, explain this shift.