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Jens Lemanski
University of Münster
  1.  62
    Logic Diagrams as Argument Maps in Eristic Dialectics.Jens Lemanski - 2023 - Argumentation:1-21.
    This paper analyses a hitherto unknown technique of using logic diagrams to create argument maps in eristic dialectics. The method was invented in the 1810s and -20s by Arthur Schopenhauer, who is considered the originator of modern eristic. This technique of Schopenhauer could be interesting for several branches of research in the field of argumentation: Firstly, for the field of argument mapping, since here a hitherto unknown diagrammatic technique is shown in order to visualise possible situations of arguments in a (...)
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  2.  84
    World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
    What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer’s hitherto undiscovered Berlin Lectures, which concern the philosophy of language, (...)
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  3.  33
    Language, Logic, and Mathematics in Schopenhauer.Jens Lemanski (ed.) - 2020 - Basel, Schweiz: Birkhäuser.
    The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. (...)
  4.  26
    Discourse Ethics and Eristic.Jens Lemanski - 2022 - Polish Journal of Aesthetics 62:151-162.
    Eristic has been studied more and more intensively in recent years in philosophy, law, communication theory, logic, proof theory, and A.I. Nevertheless, the modern origins of eristic, which almost all current researchers see in the philosopher Arthur Schopenhauer, are considered to be a theory of the illegitimate use of logical and rhetorical devices. Thus, eristic seems to violate the norms of discourse ethics. In this paper, I argue that this interpretation of eristic is based on prejudices that contradict the original (...)
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  5. Reism, Concretism and Schopenhauer Diagrams.Jens Lemanski & Michał Dobrzański - 2020 - Studia Humana 9 (3/4):104-119.
    Reism or concretism are the labels for a position in ontology and semantics that is represented by various philosophers. As Kazimierz Ajdukiewicz and Jan Woleński have shown, there are two dimensions with which the abstract expression of reism can be made concrete: The ontological dimension of reism says that only things exist; the semantic dimension of reism says that all concepts must be reduced to concrete terms in order to be meaningful. In this paper we argue for the following two (...)
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  6.  31
    Euler-type Diagrams and the Quantification of the Predicate.Jens Lemanski - 2020 - Journal of Philosophical Logic 49 (2):401-416.
    Logicians have often suggested that the use of Euler-type diagrams has influenced the idea of the quantification of the predicate. This is mainly due to the fact that Euler-type diagrams display more information than is required in traditional syllogistics. The paper supports this argument and extends it by a further step: Euler-type diagrams not only illustrate the quantification of the predicate, but also solve problems of traditional proof theory, which prevented an overall quantification of the predicate. Thus, Euler-type diagrams can (...)
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  7.  33
    Calculus CL as a Formal System.Jens Lemanski & Ludger Jansen - 2020 - In Ahti Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. 2020. 93413 Cham, Deutschland: pp. 445-460.
    In recent years CL diagrams inspired by Lange’s Cubus Logicus have been used in various contexts of diagrammatic reasoning. However, whether CL diagrams can also be used as a formal system seemed questionable. We present a CL diagram as a formal system, which is a fragment of propositional logic. Syntax and semantics are presented separately and a variant of bitstring semantics is applied to prove soundness and completeness of the system.
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  8. Periods in the Use of Euler-type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
    Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...)
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  9.  31
    Extended Syllogistics in Calculus CL.Jens Lemanski - 2021 - Journal of Applied Logics 8 (2):557-577.
    Extensions of traditional syllogistics have been increasingly researched in philosophy, linguistics, and areas such as artificial intelligence and computer science in recent decades. This is mainly due to the fact that syllogistics is seen as a logic that comes very close to natural language abilities. Various forms of extended syllogistics have become established. This paper deals with the question to what extent a syllogistic representation in CL diagrams can be seen as a form of extended syllogistics. It will be shown (...)
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  10.  16
    Schopenhauer’s Partition Diagrams and Logical Geometry.Jens Lemanski & Lorenz Demey - 2021 - In A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo & P. Viana (eds.), Diagrams 2021: Diagrammatic Representation and Inference. 93413 Cham, Deutschland: pp. 149-165.
    The paper examines Schopenhauer’s complex diagrams from the Berlin Lectures of the 1820 s, which show certain partitions of classes. Drawing upon ideas and techniques from logical geometry, we show that Schopenhauer’s partition diagrams systematically give rise to a special type of Aristotelian diagrams, viz. (strong) α -structures.
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  11.  34
    Calculus CL - From Baroque Logic to Artificial Intelligence.Jens Lemanski - 2020 - Logique Et Analyse 249:111-129.
    In the year 1714, Johann Christian Lange published a baroque textbook about a logic machine, supposed to simulate human cognitive abilities such as perception, judgement, and reasoning. From today’s perspective, it can be argued that this blueprint is based on an inference engine applied to a strict ontology which serves as a knowledge base. In this paper, I will first introduce Lange’s approach in the period of baroque logic and then present a diagrammatic modernization of Lange’s principles, entitled Calculus CL. (...)
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  12.  27
    Logic Diagrams, Sacred Geometry and Neural Networks.Jens Lemanski - 2019 - Logica Universalis 13 (4):495-513.
    In early modernity, one can find many spatial logic diagrams whose geometric forms share a family resemblance with religious art and symbols. The family resemblance these diagrams bear in form is often based on a vesica piscis or on a cross: Both logic diagrams and spiritual symbols focus on the intersection or conjunction of two or more entities, e.g. subject and predicate, on the one hand, or god and man, on the other. This paper deals with the development and function (...)
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  13.  33
    Oppositional Geometry in the Diagrammatic Calculus CL.Jens Lemanski - 2017 - South American Journal of Logic 3 (2):517-531.
    The paper presents the diagrammatic calculus CL, which combines features of tree, Euler-type, Venn-type diagrams and squares of opposition. In its basic form, `CL' (= Cubus Logicus) organizes terms in the form of a square or cube. By applying the arrows of the square of opposition to CL, judgments and inferences can be displayed. Thus CL offers on the one hand an intuitive method to display ontologies and on the other hand a diagrammatic tool to check inferences. The paper focuses (...)
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  14.  4
    Making Sense of Schopenhauer's Diagram of Good and Evil.Jens Lemanski & Amirouche Moktefi - 2018 - In Stapleton G. Chapman P. (ed.), Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Cham, Schweiz: Springer. pp. 721-724.
    It is little known that Schopenhauer (1788–1860) made thorough use of Euler diagrams in his works. One specific diagram depicts a high number of concepts in relation to Good and Evil. It is, hence, uncharacteristic as logicians of that time seldom used diagrams for more than three terms (the number demanded by syllogisms). The objective of this paper is to make sense of this diagram by explaining its function and inquiring whether it could be viewed as an early serious attempt (...)
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  15.  14
    Arthur Schopenhauer on Naturalness in Logic.Jens Lemanski & Hubert Martin Schüler - 2020 - In Language, Logic, and Mathematics in Schopenhauer. Cham, Schweiz: Birkhäuser. pp. 145-165.
    The question of naturalness in logic is widely discussed in today’s research literature. On the one hand, naturalness in the systems of natural deduction is intensively discussed on the basis of Aristotelian syllogistics. On the other hand, research on “natural logic” is concerned with the implicitly existing logical laws of natural language, and is therefore also interested in the naturalness of syllogistics. In both research areas, the question arises what naturalness exactly means, in logic as well as in language. We (...)
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  16.  26
    Logik und Eristische Dialektik.Jens Lemanski - 2018 - In Daniel Schubbe & Matthias Koßler (eds.), Schopenhauer-Handbuch: Leben – Werk – Wirkung. Stuttgart, Deutschland: Springer. pp. 160-165.
    The paper examines Schopenhauer's logic lectures and the eristic dialectics of the manuscript remains in particular. The content of the logic lectures is briefly presented, then the characteristics are highlighted and finally Schopenhauer’s Euler diagrams are examined. The section on eristic dialectics summarizes the history of the text and its origin and reflects the content and order of the document.
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  17.  27
    On the Origin of Venn Diagrams.Amirouche Moktefi & Jens Lemanski - 2022 - Axiomathes 32 (3):887-900.
    In this paper we argue that there were several currents, ideas and problems in 19th-century logic that motivated John Venn to develop his famous logic diagrams. To this end, we first examine the problem of uncertainty or over-specification in syllogistic that became obvious in Euler diagrams. In the 19th century, numerous logicians tried to solve this problem. The most famous was the attempt to introduce dashed circles into Euler diagrams. The solution that John Venn developed for this problem, however, came (...)
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  18. Schopenhauers Gebrauchstheorie der Bedeutung und das Kontextprinzip: Eine Parallele zu Wittgensteins ›Philosophischen Untersuchungen‹.Jens Lemanski - 2016 - Schopenhauer Jahrbuch 2016 (97):171-195.
    In previous research, Schopenhauer is regarded as a consistent representative of a classical picture theory of language. The paper shows, however, that Schopenhauer does not only present a use theory of meaning in his lectures on logic, but also justifies it with the help of the context principle. Furthermore, it is discussed to what extent Schopenhauer's use theory of meaning is similar to the semantic theory of Ludwig Wittgenstein and his successors.
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  19. Logikdiagramme und Logikmaschinen aus der Zittauer Schule um Christian Weise.Jens Lemanski - 2019 - Neues Lausitzische Magazin 141 (1):39-57.
    A particularly promising trail on the search for forgotten logic diagrams leads to Upper Lusatia in the 17th century, more precisely to Christian Weise and his students. Samuel Grosser, who later became rector in Görlitz, and Johann Christian Lange, who later became professor of logic at the University of Gießen, are the most prominent to have published remarkable logic diagrams. Even more remarkable, however, is the fact that Lange's interest in these diagrams ultimately gave rise to the idea of building (...)
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  20.  35
    Logic Diagrams in the Weigel and Weise Circles.Jens Lemanski - 2018 - History and Philosophy of Logic 39 (1):3-28.
    From the mid-1600s to the beginning of the eighteenth century, there were two main circles of German scholars which focused extensively on diagrammatic reasoning and representation in logic. The first circle was formed around Erhard Weigel in Jena and consists primarily of Johann Christoph Sturm and Gottfried Wilhelm Leibniz; the second circle developed around Christian Weise in Zittau, with the support of his students, particularly Samuel Grosser and Johann Christian Lange. Each of these scholars developed an original form of using (...)
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  21.  38
    Combing Graphs and Eulerian Diagrams in Eristic.Jens Lemanski & Reetu Bhattacharjee - 2022 - In Valeria Giardino, Sven Linker, Tony Burns, Francesco Bellucci, J. M. Boucheix & Diego Viana (eds.), Diagrammatic Representation and Inference. 13th International Conference, Diagrams 2022, Rome, Italy, September 14–16, 2022, Proceedings. Cham: pp. 97–113.
    In this paper, we analyze and discuss Schopenhauer’s n-term diagrams for eristic dialectics from a graph-theoretical perspective. Unlike logic, eristic dialectics does not examine the validity of an isolated argument, but the progression and persuasiveness of an argument in the context of a dialogue or even controversy. To represent these dialogue situations, Schopenhauer created large maps with concepts and Euler-type diagrams, which from today’s perspective are a specific form of graphs. We first present the original method with Euler-type diagrams, then (...)
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  22.  27
    Schopenhauer Diagrams for Conceptual Analysis.Michał Dobrzański & Jens Lemanski - 2020 - In Ahti Veikko Pietarinen, P. Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. Cham, Schweiz: pp. 281-288.
    In his Berlin Lectures of the 1820s, the German philosopher Arthur Schopenhauer (1788–1860) used spatial logic diagrams for philosophy of language. These logic diagrams were applied to many areas of semantics and pragmatics, such as theories of concept formation, concept development, translation theory, clarification of conceptual disputes, etc. In this paper we first introduce the basic principles of Schopenhauer’s philosophy of language and his diagrammatic method. Since Schopenhauer often gives little information about how the individual diagrams are to be understood, (...)
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  23.  27
    The Cretan Square.Jean-Yves Beziau & Jens Lemanski - 2020 - Logica Universalis 14 (1):1-5.
    This special issue is related to the 6th World Congress on the Square of Opposition which took place at the Orthodox Academy of Crete in November 2018. In this introductory paper we explain the context of the event and the topics discussed.
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  24.  15
    Logic, Spatial Algorithms and Visual Reasoning.Andrew Schumann & Jens Lemanski - forthcoming - Logica Universalis:1-9.
    Spatial and diagrammatic reasoning is a significant part not only of logical abilities, but also of logical studies. The authors of this paper consider some novel trends in studying this type of reasoning. They show that there are the following two main trends in spatial logic: (i) logical studies of the distribution of various objects in space (logic of geometry, logic of colors, etc.); (ii) logical studies of the space algorithms applied by nature itself (logic of swarms, logic of fungi (...)
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  25.  5
    Schopenhauer Diagrams for Conceptual Analysis.Michał Dobrzański & Jens Lemanski - 2020 - In Diagrammatic Representation and Inference 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings. Basel: Springer. pp. 281-288.
    In his Berlin Lectures of the 1820s, the German philosopher Arthur Schopenhauer (1788–1860) used spatial logic diagrams for philosophy of language. These logic diagrams were applied to many areas of semantics and pragmatics, such as theories of concept formation, concept development, translation theory, clarification of conceptual disputes, etc. In this paper we first introduce the basic principles of Schopenhauer’s philosophy of language and his diagrammatic method. Since Schopenhauer often gives little information about how the individual diagrams are to be understood, (...)
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  26.  46
    Problems and interpretations of Schopenhauer’s World as Will and Representation.Jens Lemanski & Daniel Schubbe - 2019 - Voluntas: Revista Internacional de Filosofia 10 (1):199-211.
    In this paper we present an overview of the current interpretations of the first volume of Arthur Schopenhauer’s main work The World as Will and Representation (W I) and discuss their problems. We discuss four issues, which in our opinion must clarify a current interpretation implicitly or explicitly, if it claims to be an interpretation of the whole book: (1) What does Schopenhauer mean by the fact that his work shares only one (single) thought? (2) How are the individual books (...)
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  27.  28
    Can Non-Causal Explanations Answer the Leibniz Question?Jens Lemanski - 2022 - Metaphysica 23 (2):427-443.
    Leibniz is often cited as an authority when it comes to the formulation and answer strategy of the question “Why is there something rather than nothing?” Yet much current research assumes that Leibniz advocates an unambiguous question and strategy for the answer. In this respect, one repeatedly finds the argument in the literature that alternative explanatory approaches to this question violate Leibniz’s intention, since he derives the question from the principle of sufficient reason and also demands a causal explanation to (...)
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  28.  18
    Five dogmas of logic diagrams and how to escape them.Jens Lemanski, Andrea Anna Reichenberger, Theodor Berwe, Alfred Olszok & Claudia Anger - 2022 - Language & Communication 87 (1):258-270.
    In the vein of a renewed interest in diagrammatic reasoning, this paper challenges an opposition between logic diagrams and formal languages that has traditionally been the common view in philosophy of logic and linguistics. We examine, from a philosophical point of view, what we call five dogmas of logic diagrams. These are as follows: (1) diagrams are non-linguistic; (2) diagrams are visual representations; (3) diagrams are iconic, and not symbolic; (4) diagrams are non-linear; (5) diagrams are heterogenous, and not homogenous. (...)
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  29. Schopenhauer's World. The System of The World as Will and Presentation I.Jens Lemanski - 2017 - Schopenhaueriana. Revista Española de Estudios Sobre Schopenhauer 2:297–315.
    in recent years, the research on Schopenhauer has shown a change in the interpretation of his main work, «The World as Will and Presentation», from (1) a normative and linear instruction which guides the reader from idealism to mysticism, pessimism and nothingness to (2) value-free and independent descriptions of the world with all phenomena (like idealism, mysticism, nothingness etc.) in it. thus Schopenhauer’s main work has become an empirical or baconian approach—something like a «philosophical cosmography»—. this fundamental change of interpretation (...)
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  30. ショーペンハウアーにおける意味の使用理論と文脈原理 : ヴィトゲンシュタイン.Jens Lemanski - 2017 - ショーペンハウアー研究 = Schopenhauer-Studien 22:150-190.
    Japanese translation of ""Schopenhauers Gebrauchstheorie der Bedeutung und das Kontextprinzip. Eine Parallele zu Wittgensteins Philosophischen Untersuchungen". In: 97. Schopenhauer-Jahrbuch (2016), S. 29–51" by Tadahiro Oota (太田 匡洋 [訳]).
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  31.  26
    An analogy between Hegel's theory of recognition and Ficino's theory of love.Jens Lemanski - 2019 - British Journal for the History of Philosophy 27 (1):95-113.
    A widely debated question in current research centres on determining the precursors to G. W. F. Hegel's theory of recognition. Until now Fichte, Rousseau and Aristotle have been discussed. However, the present paper analyses a further surprising correspondence between Marsilio Ficino's theory of love and Hegel's theory of recognition. Here it is shown that Hegel studied Ficino in 1793 and that we can discover syntactical, semantical, and structural vestiges of Ficino's De amore II 8 in Hegel's early fragments on religion (...)
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  32.  16
    Galilei, Torricelli, Stahl – Zur Wissenschaftsgeschichte der Physik in der B-Vorrede zu Kants Kritik der reinen Vernunft.Jens Lemanski - 2016 - Kant Studien 107 (3):451-484.
    In the second preface to the Critique of Pure Reason, Kant claims that Galileo Galilei, Evangelista Torricelli and Georg Ernst Stahl caused a scientific revolution in experimental physics (B xii). In this paper, I advance the historical thesis that Kantʼs claim refers precisely to three passages from Discursus et demonstrationes mathematicae (Galilei), Lettera a Filaleti Di Timauro Antiate (Torricelli), and Beweiß von den Saltzen (Stahl). This historical thesis provides evidence for a newer systematic interpretation, which says that the topic of (...)
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  33.  17
    Calculus CL as Ontology Editor and Inference Engine.Jens Lemanski - 2018 - In P. Chapman, G. Stapleton, A. Moktefi, S. Perez-Kriz & F. Bellucci (eds.), Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Cham, Schweiz: Springer. pp. 752-756.
    The paper outlines the advantages and limits of the so-called ‘Calculus CL’ in the field of ontology engineering and automated theorem proving. CL is a diagram type that combines features of tree, Euler-type, Venn-type diagrams and squares of opposition. Due to the simple taxonomical structures and intuitive rules of CL, it is easy to edit ontologies and to prove inferences.
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  34. ›Cur potius aliquid quam nihil‹ von der Frühgeschichte bis zur Hochscholastik.Jens Lemanski - 2013 - In Daniel Schubbe, Jens Lemanski & Rico Hauswald (eds.), Warum ist überhaupt etwas und nicht nichts? Wandel und Variationen einer Frage. Hamburg: Meiner. pp. 23–65.
    Inspired by various research results on the history of philosophy that have not yet been compiled, the paper pursues the thesis that the question "Why is there something rather than nothing" was formulated long before Leibniz. In reviewing this thesis, the 'fundamental question' is differentiated into two individual questions: "Why is there something at all" and 'Why isn't rather nothing?". On the basis of this systematic distinction, the paper examines the history of philosophy from early history to scholasticism with regard (...)
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  35.  10
    A Bitstring Semantics for Calculus CL.Fabien Schang & Jens Lemanski - 2022 - In Ioannis M. Vandoulakis & Jean-Yves Beziau (eds.), The Exoteric Square of Opposition. Cham: Springer. pp. 171–193.
    The aim of this chapter is to develop a semantics for Calculus CL. CL is a diagrammatic calculus based on a logic machine presented by Johann Christian Lange in 1714, which combines features of Euler-, Venn-type, tree diagrams, squares of oppositions etc. In this chapter, it is argued that a Boolean account of formal ontology in CL helps to deal with logical oppositions and inferences of extended syllogistics. The result is a combination of Lange’s diagrams with an algebraic semantics of (...)
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  36.  9
    Schopenhauers Vernunftlehre. Ein Forschungsüberblick.Jens Lemanski - 2022 - In Dieter Birnbacher & Matthias Koßler (eds.), Das Hauptwerk: 200 Jahre Arthur Schopenhauers Die Welt als Wille und Vorstellung. Würzburg, Deutschland: pp. 53-79.
    Arthur Schopenhauer’s system, as elaborated in The World as Will and Representation (1st ed.: 1819) and in the Berlin Lectures (1820s), is divided into four parts: 1. the so-called ‘epistemology’, 2. metaphysics (of nature), 3. metaphysics of the beautiful or aesthetics, 4. metaphysics of morals or ethics. The part on ‘epistemology’ is divided into two parts: the doctrine of cognition and the doctrine of reason. Whereas the doctrine of cognition discusses the three conditions for the possibility of cognition, i.e., space, (...)
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  37. Die ›Evolutionstheorien‹ Goethes und Schopenhauers. Eine kritische Aufarbeitung des wissenschaftsgeschichtlichen Forschungsstandes.Jens Lemanski - 2016 - In Daniel Schubbe & Søren Fauth (eds.), Schopenhauer und Goethe: Biographische und philosophische Perspektiven. Hamburg, Deutschland: Meiner. pp. 247-299.
    This article compares the research literature published by Goethe and Schopenhauer on the subject of evolutionary theory. The metatheoretical thesis is supported that the results of any comparison between Schopenhauer or Goethe and a concrete theory of evolution always depend on three dimensions: 1. the scientific point of view of the comparative, 2. the meaning and definition of the central terms and 3. the selection of the analyzed primary literature. It is also argued that no previously published study was able (...)
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  38. Techniques of Bridging the Gulf: Dialectic and Reductionism in McDowell and Fichte.Jens Lemanski - 2020 - Edukacja Filozoficzna 69 (1):7-36.
    “Dialectic” has been a matter of growing interest in contemporary philosophy. The present article analyzes dialectical methods and positions them by reference to two paradigmatic texts of German idealism and analytic philosophy, i.e. J.G. Fichte’s Science of Knowing (1804) and J. McDowell’s Mind and World. Both dialectical approaches will be interpreted with regard to their contribution in the debate on reductionism and anti-reductionism: both Fichte and McDowell claim that philosophical positions and logical terms stand in a dualistic relationship to one (...)
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  39. Means or end? On the Valuation of Logic Diagrams.Jens Lemanski - 2016 - Logic-Philosophical Studies 14:98-122.
    From the beginning of the 16th century to the end of the 18th century, there were not less than ten philosophers who focused extensively on Venn’s ostensible analytical diagrams, as noted by modern historians of logic (Venn, Gardner, Baron, Coumet et al.). But what was the reason for early modern philosophers to use logic or analytical diagrams? Among modern historians of logic one can find two theses which are closely connected to each other: M. Gardner states that since the Middle (...)
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  40.  4
    Inductive Inferences in CL Diagrams.Jens Lemanski & Reetu Bhattacharjee - 2022 - In Matthias Thimm, Jürgen Landes & Kenneth Skiba (eds.), Proceedings of the First International Conference on Foundations, Applications, and Theory of Inductive Logic (FATIL2022). München, Deutschland: deposit_Hagen. pp. 70-73.
    CL diagrams – the abbreviation of Cubus Logicus – are inspired by J.C. Lange’s logic machine from 1714. In recent times, Lange’s diagrams have been used for extended syllogistics, bitstring semantics, analogical reasoning and many more. The paper presents a method for testing statistical syllogisms (also called proportional syllogisms or inductive syllogisms) by using CL diagrams.
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  41. Von Brucker zu Augustinus: Probleme mit der Geschichte des Begriffs >Neuplatonismus<.Jens Lemanski - 2011 - Archiv für Begriffsgeschichte 53:33-53.
    Normally in nowadays philosophical research the term 'Neoplatonism' is coined and it was used the first time by Jacob Brucker in the first half of the 18th century. But there are signs that the concept is much older. So this essay follows the trace of the term 'Neoplatonism' from german philosophical historians, like Büsching and Brucker, back to the Cambridge Platonists and tries to demonstrate that the origin of the concept is based on some texts of the late antiquity which (...)
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  42.  25
    A Diagrammatic Representation of Hegel’s Science of Logic.Jens Lemanski & Valentin Pluder - 2021 - In Stapleton G. Basu A. (ed.), Diagrams 2021: Diagrammatic Representation and Inference. 93413 Cham, Deutschland: Springer. pp. 255-259.
    In this paper, we interpret a 19th century diagram, which is meant to visualise G.W.F. Hegel’s entire method of the `Science of Logic' on the basis of bitwise operations. For the interpretation of the diagram we use a binary numeral system, and discuss whether the anti-Hegelian argument associated with it is valid or not. The reinterpretation is intended to make more precise rules of construction, a stricter binary code and a review of strengths and weaknesses of the critique.
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  43.  32
    The productive ambiguity of Venn’s three circles.Jens Lemanski & Amirouche Moktefi - 2020 - In Kristof Nyiri, András Benedek & Petra Aczel (eds.), How Images Behave: 9th Budapest Visual Learning Conference, Budapest, 26 November 2020. Hungarian Academy of Sciences. pp. 245-248.
    It is not rare to meet in scientific literature with a figure made of three circles, intersecting in such a way as to delineate all the combinations of the components that they stand for. This figure is commonly known as a ‘Venn diagram’ or ‘Venn’s three circles’. In this paper, we argue that many so-called Venn diagrams found in modern scientific literature do not truly depict intersections, and hence, are not true Venn diagrams.
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  44.  2
    Schopenhauer's große Logik.Jens Lemanski - 2022 - In Daniel Schubbe, Daniel Elon & Judith Werntgen-Schmidt (eds.), Arthur Schopenhauer: Vorlesung über die gesamte Philosophie, Vol. I. Hamburg, Deutschland: Meiner.
    Die Unterscheidung zwischen einer großen und kleinen Logik geht auf den scholastischen Unterricht zurück, in dem Bakkalaren eine grundlegende parva logicalia und Magistranden eine auf Vollständigkeit zielende logica magna zu absolvieren hatten. Erst im Laufe des 19. Jh.s wurde die begriffliche Unterscheidung weniger auf die Studiengangszuordnung, als vielmehr auf den Umfang von logischen Texten angewandt: Fand man von Autoren sowohl ausschweifende als auch knappe Darstellungen der Logik, so wurden diese salopp als ›große‹ und als ›kleine Logik‹ bezeichnet. In diesem Sinn (...)
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  45.  17
    Die neuaristotelischen Ursprünge des Kontextprinzips und die Fortführung in der fregeschen Begriffsschrift.Jens Lemanski - 2013 - Zeitschrift für Philosophische Forschung 67 (4):566-586.
    Beginning with a research review, the present paper shows that Hans Slugaʼs and esp. Robert Brandomʼs thesis, according to which Frege has adopted the context-principle and the priority of propositional from Kant, can solve problems in current Frege scholarship, on the one hand, but is itself fraught with further problems, on the other hand. In contrast, this paper maintains that the context-principle and the priority of the propositional are implicitly present in Fregeʼs Begriffsschrift since both have not been taken over (...)
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  46.  36
    Post-Truth as a Procrastination of Enlightenment.Jens Lemanski - 2018 - Studia Philosophica Estonica 11 (1):117-127.
    In recent years the cultural pessimistic position has become known, according to which we live in an “age of post-truth.” This thesis is supported by the observation of an increasing use of argumenta ad passiones in politics. In contrast to this view, I believe that “time” and “representation” play a more decisive role in individual post-truth arguments than the appeal to passiones. By analysing typical post-truth arguments, I arrive at a much more positive view on the present age: the designation (...)
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  47.  24
    An Introduction to Language, Logic and Mathematics in Schopenhauer.Jens Lemanski - 2020 - In Language, Logic, and Mathematics in Schopenhauer. Cham, Schweiz: pp. 1-15.
    This paper is an introduction to the volume Language, Logic and Mathematics in Schopenhauer. It shows the basic interpretations discussed in Schopenhauer’s research, explains the aims and tasks of Schopenhauer’s philosophy and shows the importance of language, logic and mathematics in Schopenhauer’s system.
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  48.  14
    Aristoteles – Schopenhauer – Erdmann. Basistexte zur Eristik: N. Gutenberg, M. Herberger and P. Riemer editors. Berlin: Frank & Timme, 2020, 273 pp. €29,80. ISBN 978-3-7329-0627-7. [REVIEW]Jens Lemanski - 2021 - History and Philosophy of Logic 42 (3):297-299.
    In recent years, previously unknown aspects of Arthur Schopenhauer's œuvre have increasingly become the focus of various research efforts. Examples of this are Schopenhauer's philosophy of language...
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  49. Die Rationalität des Mystischen. Zur Entwicklung und Korrektur unseres Mystikverständnisses am Beispiel von Dionysius Areopagita, Gottfried Arnold und Arthur Schopenhauer'.Jens Lemanski - 2010 - Schopenhauer Jahrbuch 91:93-120.
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  50.  9
    Wissen, Wissenschaft, Wissenschaftslehre.Jens Lemanski - 2021 - In Nora Schleich (ed.), Philosophie als Wissenschaft. Hildesheim, Deutschland: Olms. pp. 113-133.
    The paper entitled "Knowledge, Science, and Science of Knowledge" uses two relevant texts from German idealism to ask whether philosophy is a science. It is first argued that science presupposes knowledge, but that the concept of knowledge has long been subject to strong scepticism due to Fitch's paradox of knowability and especially the Gettier problem. Only in recent years have historians of philosophy made it clear that the so-called standard analysis of knowledge was not even advocated by many classical authors. (...)
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