Redigee en 1666 a des fins universitaires (obtention d'un doctorat dans les deux Droits), la Disputatio De Casibus Perplexis in Jure de Leibniz aborde la question de l'ordonnancement juridique, a l'occasion d'une etude consacree aux enonces circulaires apparaissant dans le cadre des affranchissements, des legs et des suretes. Elle montre que leur suppression consiste a retablir un ordre de priorite chronologique ou normatif entre les termes en presence, par la maitrise des relations genre/espece et la formulation de regles justifiant (...) les exceptions. La hierarchie des normes et l'insertion des dispositions derogatoires dans un veritable jus commune, deviennent alors les pierres de touche d'une analyse encore actuelle, dont l'originalite tient au fait qu'elle applique les techniques d'interpretatio legis des Commentateurs du mos italicus, et parvient a les integrer dans une veritable organisation classificatrice du Droit conduisant directement a la codification. Le rationalisme juridique de cette Disputatio devient ainsi l'expression par excellence de trois siecles de doctrine consacres a l'argumentation topique et a la suppression des cas perplexes par l'introduction des circonstances dans l'evaluation des rapports sujet/predicat. (shrink)

This paper provides a semantic analysis of admissible rules and associated completeness conditions for arbitrary deductive systems, using the framework of abstract algebraic logic. Algebraizability is not assumed, so the meaning and significance of the principal notions vary with the level of the Leibniz hierarchy at which they are presented. As a case study of the resulting theory, the nonalgebraizable fragments of relevance logic are considered.

This article studies preservation of certain algebraic properties of propositional logics when combined by fibring. The logics analyzed here are classified in protoalgebraic, equivalential and algebraizable. By introducing new categories of algebrizable logics and of deductivizable quasi-varieties, it is stated an isomorphism between these categories. This constitutes an alternative to a similar result found in the literature.

Mulla Sadra and Leibniz are two philosophers of the East and the West, and belong to two different worlds. Though they were unaware of ideas of each other, they share certain points that are comparable. Monads constitute the basis of Leibniz's thought and he refer to their features in his various works. Mulla Sadra's philosophy also is based on being and he tried to deal with its reality in his philosophy. Though Leibniz's monads are many and Mulla (...) Sadras being is one, they use certain terms for monads and being which are very close to each other and are comparable from different points of view. Leibniz monads while being many are one as well. Similarly Mulla Sadra's philosophy too enjoys multiplicity in unity. Leibniz's monads enjoy perception and Mulla Sadra's being too coexist withknowledge. In this paper apart from comparing Leibniz's monads and Mulla Sadra's concept of being, their philosophies also have been compared and their common and different points have been unraveled. (shrink)

A Leibniz class is a class of logics closed under the formation of term-equivalent logics, compatible expansions, and non-indexed products of sets of logics. We study the complete lattice of all Leibniz classes, called the Leibniz hierarchy. In particular, it is proved that the classes of truth-equational and assertional logics are meet-prime in the Leibniz hierarchy, while the classes of protoalgebraic and equivalential logics are meet-reducible. However, the last two classes are shown to be (...) determined by Leibniz conditions consisting of meet-prime logics only. (shrink)

L'une des applications de la de Leibniz aboutit à la thèse que toutes les substances créées forment une hiérarchie continue selon leur degré de perfection. Des critiques ont soutenu que cette thèse est contradictoire à l'affirmation de Leibniz que les êtres rationnels, étant des images de la divinité et constituant ainsi une classe distincte d'êtres créés, sont plus près de la perfection que tous les autres. L'objection est que cette affirmation crée une lacune entre les êtres rationnels et (...) les êtres nonrationnels qu'aucune ordonnance continue en fonction de degré de perfection ne saurait combler. Dans la présente étude, je pose que la métaphysique de Leibniz satisfait les deux exigences: d'une part, l'exigence que tous les êtres peuvent être rangés en ligne continue selon leur degré de perfection, et d'autre part, l'exigence que les êtres rationnels constituent une classe à part parmi les êtres créés. (shrink)

There is a long line of thinkers in the philosophy of mathematics who have sought to base an account of proof on what might be called a 'metaphysical ordering' of the truths of mathematics. Use the term 'metaphysical' to describe these orderings is intended to call attention to the fact that they are regarded as objective and not subjective and that they are conceived primarily as orderings of truths and only secondarily as orderings of beliefs. -/- I describe and consider (...) two models for such orderings, (i) an implicational model and something I call (ii) a mosaic model. -/- Both models fail to do what such orderings should do. Moreover, in both cases, the trouble arises because the class of truths to be ordered is taken to be closed under various weakening implications. This is a result of their employing a global conception of logic. (shrink)

In abstract algebraic logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this process one considers the Leibniz relation of indiscernible formulae. Such approach has resulted in a classification of logics partly based on generalizations of equivalence connectives: the Leibniz hierarchy. This paper performs an analogous abstract study of non-classical logics based on the kind of generalized implication connectives they possess. It yields a new classification of (...) logics expanding Leibniz hierarchy: the hierarchy of implicational logics. In this framework the notion of implicational semilinear logic can be naturally introduced as a property of the implication, namely a logic L is an implicational semilinear logic iff it has an implication such that L is complete w.r.t. the matrices where the implication induces a linear order, a property which is typically satisfied by well-known systems of fuzzy logic. The hierarchy of implicational logics is then restricted to the semilinear case obtaining a classification of implicational semilinear logics that encompasses almost all the known examples of fuzzy logics and suggests new directions for research in the field. (shrink)

Nach Leibniz ist der Schliissel zu metaphysischer Wahrheit Gottes ontologische und moralische Perfektion. In Übereinstimmung mit seiner unendlichen Güte erschafft Gott eine maximal perfekte Welt. Diese maximale Perfektion beinhaltet, daß alle Aspekte der Erschaffungen Gottes einem Gesetz der Kontinuität gehorchen – "die Natur macht keine Sprünge", und daher beinhaltet jeder Übergang Kontinuität. Die unendliche Güte Gottes beinhaltet auch unendliche Gerechtigkeit. Für Leibniz verlangt die Gerechtigkeit Gottes aber, daß die Kreaturen, die für ihre Handlungen verantwortlich sind, besonderer Art sein (...) müssen: sie wurden im Bilde Gottes erschaffen; das heißt, daß sie selbst rationale Schöpfer sind. Dies scheint einen grundsätzlichen Unterschied von alien anderen Kreaturen vorauszusetzen, was aber augenscheinlich einen Verstoß gegen das Gesetz der Kontinuität wäre. Die Autoren behandeln die Frage, ob Leibniz tatsächlich beide Prinzipien benutzt und ob – und wenn ja wie – er das folgegerecht tun kann. (shrink)

In this paper, I aim to offer a clear explanation of what monadic domination, understood as a relation obtaining exclusively among monads, amounts to in the philosophy of Leibniz (and this insofar as monadic domination is conceived by Leibniz not to account for the substantial unity of composite substances). Central to my account is the Aristotelian notion of a hierarchy of activities, as well as a particular understanding of the relations that obtain among the perceptions of monads (...) that stand in relations of monadic domination and subordination. (shrink)

EDITOR'S INTRODUCTION T JLJe1bn1z was above all things a metaphysician. That does not mean that his head was in the clouds, or that the particular sciences ...

In [14] we used the term finitely algebraizable for algebraizable logics in the sense of Blok and Pigozzi [2] and we introduced possibly infinitely algebraizable, for short, p.i.-algebraizable logics. In the present paper, we characterize the hierarchy of protoalgebraic, equivalential, finitely equivalential, p.i.-algebraizable, and finitely algebraizable logics by properties of the Leibniz operator. A Beth-style definability result yields that finitely equivalential and finitely algebraizable as well as equivalential and p.i.-algebraizable logics can be distinguished by injectivity of the (...) class='Hi'>Leibniz operator. Thus, from a characterization of equivalential logics we obtain a new short proof of the main result of [2] that a finitary logic is finitely algebraizable iff the Leibniz operator is injective and preserves unions of directed systems. It is generalized to nonfinitary logics. We characterize equivalential and, by adding injectivity, p.i.-algebraizable logics. (shrink)

Leibniz's political and ethical writing long has been neglected, and with this new edition Professor Riley makes available the most representative pieces from Leibniz's political theory. This new edition, specially prepared for this series, is the first to make a considerable number of Leibniz's writings available in English, and includes three previously unpublished manuscripts, a selection of political letters, an introduction, notes, and a critical biography.

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)

After Leibniz's death in 1716, Clarke published an edition of their philosophical correspondence--a wide-ranging discussion of the nature of God, human souls, free will and indifference of choice, space and time, the vacuum, miracles, and matter and force. Clarke included his own letters, his translations of Leibniz's letters, and some translated passages from Leibniz's French and Latin works that helped to illuminate their exchanges.

Leibniz's widely influential account of time provides a significant puzzle for those seeking to locate this account within his hierarchical ontology. Leibniz follows his scholastic predecessors in supposing that there are different grades of being, with substances being the most real and all other things possessing their reality via their relationships to substance. Following this picture, Leibniz suggests that phenomenal bodies only possess the being that they derive from the substances (i.e., monads) that ground them. Some would (...) argue that time likewise only possesses its being based on the bodies that it relates. Contrary to this suggestion (i.e., that time is twice removed from substances), I will argue that time is derived directly from rational souls. Thus, I will argue that time is on an ontological par with the phenomenal world of bodies. (shrink)

_The first unabridged English translation of the correspondence between Gottfried Wilhelm Leibniz and Georg Ernst Stahl detailing their opposing philosophies_ The correspondence between the eighteenth-century mathematician and philosopher G. W. Leibniz and G. E. Stahl, a chemist and physician at the court of King Friedrich Wilhelm I of Prussia, known as the Leibniz-Stahl Controversy, is one of the most important intellectual contributions on theoretical issues concerning pre-biological thinking. Editors François Duchesneau and Justin E. H. Smith offer readers (...) the first fully annotated English translation of this fascinating exchange of philosophical views on divine action, the order of nature, causality and teleology, and the soul-body relationship. (shrink)

This is an abridgement of the complete translation of the New Essays, first published in 1981, designed for use as a study text. The material extraneous to philosophy - more than a third of the original - and the glossary of notes have been cut and a philosophical introduction and bibliography of work on Leibniz have been provided by the translators. The marginal pagination has been retained for ease of cross-reference to the full edition. The work itself is an (...) acknowledged philosophical classic, in which Leibniz argues point by point with Locke's Essay Concerning Human Understanding. The result is the single most important confrontation between the philosophical traditions of rationalism and empiricism. It makes an extremely suitable focus for the study of Leibniz's thought and of those two traditions in relation to one another. (shrink)

1. Reihe. Allgemeiner politischer und historischer Briefwechsel. v. <1-11, 13 >--2. Reihe. Philosophischer Briefwechsel. v. <1, 3 >--3. Reihe. Mathematischer naturwissenschaftlicher und technischer Briefwechsel --4. Reihe. Politische Schriften. v. <1-3 > --6. Reihe. Philosophische Schriften. v. <1-3, 6 >.

Die zweisprachige Ausgabe "Monadologie und andere metaphysische Schriften" ermöglicht ein genaues Studium der Leibnizschen Metaphysik von der Mitte der 1680er Jahre, als die "Metaphysische Abhandlung" entstand, bis zum Ende seines Lebens dreißig Jahre später, als Leibniz seine Monadenlehre entwickelte. Seine drei längeren Abhandlungen zur Metaphysik hat Gottfried Wilhelm Leibniz (1646-1716) selbst nicht veröffentlicht, sie haben aber seit dem 18. Jahrhundert das Bild des Philosophen wesentlich geprägt und unsere Auffassung über neuzeitliche Metaphysik stark mitbestimmt. Mit der Lehre von der (...) Monade als dem Prinzip der Einzigartigkeit des Seienden entwickelte Leibniz einen Gedanken, der für die Entfaltung des gesamten neuzeitlichen Denkens tragend wurde: den Gedanken der Individualität. Die "Metaphysische Abhandlung", die "Monadologie" und die Schrift über "Auf Vernunft gegründete Prinzipien der Natur und der Gnade" werden hier in einer zweisprachigen Ausgabe mit neuer Übersetzung und einheitlichem Begriffsglossar vorgelegt. Anmerkungen verweisen auf andere Textstellen bei Leibniz, der seine Philosophie vielfach in Gelegenheitsschriften und Briefen formulierte. Die Einleitung gibt Hinweise auf Textentstehung und -überlieferung und thematisiert einige Probleme der Übersetzung Leibnizscher Schriften, deren Sprache sowohl begrifflich streng als auch reich an Bildern ist. Die Ausgabe ersetzt die Bände PhB 253 (Vernunftprinzipien der Natur und der Gnade – Monadologie) und PhB 260 (Metaphysische Abhandlung). (shrink)

Die Ausgabe präsentiert Leibniz' frühe Schriften und Briefe zum Naturrecht in deutscher Übersetzung; den lateinischen Originaltext nach der Akademie-Ausgabe stellt sie gegenüber. Sie umfaßt vier Textgruppen:1. Eine Aufzeichnung zum Leib-Seele-Zusammenhang und zur moralischen Sphäre des Verstandes 2. Den zweiten Teil der Neuen Methode, Jurisprudenz zu lernen und zu lehren 3. Die sechs erhaltenen Entwürfe zu den Elementen des Naturrechts 4. Vier Briefe zum Verhältnis von positivem und natürlichem Recht.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

LEIBNIZ AND THE TWO SOPHIES is a critical edition of all of the philosophically important material from the correspondence between the philosopher Gottfried Wilhelm Leibniz (1646-1716) and his two royal patronesses, Electress Sophie of Hanover (1630-1714), and her daughter, Queen Sophie Charlotte of Prussia (1668-1705). In this correspondence, Leibniz expounds in a very accessible way his views on topics such as the nature and operation of the mind, innate knowledge, the afterlife, ethics, and human nature. The correspondence (...) also contains the only known philosophical writings by Sophie and Sophie Charlotte, and thus provides a valuable insight into their views and concerns, as well as throwing light on their characters. The texts are accompanied by a substantial introductory essay which sets the context for the correspondence and analyzes its main philosophical themes. (shrink)

Publicada em sete volumes entre 1710 e 1746, Miscellanea Berolinensia foi o principal jornal da Academia de Berlim, cuja fundação se deve ao próprio Leibniz em 1690, a dissolução da Societas ocorreu em 1744. A nova instituição, a Académie Royale des Sciences et Belles-Lettres de Prusse, conseguiu a Societas, e a Miscellanea Berolinensia foi sucedida pelo Berlim histoire et mémoires em 1745/46.

Die Generales Inquisitiones von 1686 stellen die wichtigste geschlossene Arbeit Leibniz' zu Fragen der Logik dar. Wie in dem ebenfalls 1686 verfaßten Discours de Métaphysique (PhB 260) wird hier Leibniz' Auffassung deutlich, in seinem Denken eine gewisse systematische Geschlossenheit gefunden zu haben.