•  251
    Periods in the Use of Euler-type Diagrams
    Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1): 50-69. 2017.
    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 …Read more
  •  187
    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.
  •  140
    Means or end? On the Valuation of Logic Diagrams
    Logic-Philosophical Studies 14 98-122. 2016.
    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 Ages certain…Read more
  •  95
    Schopenhauer's World. The System of The World as Will and Presentation I
    Schopenhaueriana. Revista Española de Estudios Sobre Schopenhauer 2. 2017.
    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 «philosophic…Read more
  •  79
    “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 positi…Read more
  •  76
    Reism, Concretism and Schopenhauer Diagrams
    Studia Humana 9 (3/4): 104-119. 2020.
    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 theses: (…Read more
  •  72
    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 act first on the re…Read more
  •  70
    Logikdiagramme und Logikmaschinen aus der Zittauer Schule um Christian Weise
    Neues Lausitzische Magazin 141 (1): 39-57. 2019.
    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 o…Read more
  •  64
    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 histo…Read more
  •  56
    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
    ショーペンハウアー研究 = Schopenhauer-Studien 22 150-190. 2017.
    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])
  •  37
    Problems and interpretations of Schopenhauer’s World as Will and Representation
    with Daniel Schubbe
    Voluntas: Revista Internacional de Filosofia 10 (1): 199-211. 2019.
    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 of W I related? …Read more
  •  29
    Logic Diagrams in the Weigel and Weise Circles
    History and Philosophy of Logic 39 (1): 3-28. 2018.
    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 schola…Read more
  •  26
    Oppositional Geometry in the Diagrammatic Calculus CL
    South American Journal of Logic 3 (2): 517-531. 2017.
    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 mainly on the …Read more
  •  24
    Post-Truth as a Procrastination of Enlightenment
    Studia Philosophica Estonica 11 (1): 117-127. 2018.
    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 designati…Read more
  •  22
    The paper distinguishes three interpretations of Kant’s so called ‘Copernican Revolution’: an epistemological, a hermeneutical and a scientific-theoretical or methodological one. It is argued that the ‘scientific-theoretical reading’ can be based on new historical evidence. Kant borrowed the metaphors ‘army of stars’ (‘Sternenheer’) and ‘spectator’ (‘Zuschauer’) from Johann Heinrich Lambert and used them in a context similar to Lambert’s. This suggests that Kant’s formula “first thoughts of Cope…Read more
  •  21
    Calculus CL as a Formal System
    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., . pp. 445-460. 2020.
    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.
  •  20
    Euler-type Diagrams and the Quantification of the Predicate
    Journal of Philosophical Logic 49 (2): 401-416. 2020.
    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 …Read more
  •  19
    An analogy between Hegel's theory of recognition and Ficino's theory of love
    British Journal for the History of Philosophy 27 (1): 95-113. 2019.
    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 e…Read more
  •  19
    The Cretan Square
    Logica Universalis 14 (1): 1-5. 2020.
    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.
  •  19
    Schopenhauer Diagrams for Conceptual Analysis
    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., . 2020.
    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 giv…Read more
  •  18
    Calculus CL - From Baroque Logic to Artificial Intelligence
    Logique Et Analyse 249 111-129. 2020.
    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, e…Read more
  •  17
    Logik und Eristische Dialektik
    In Daniel Schubbe & Matthias Koßler (eds.), Schopenhauer-Handbuch: Leben – Werk – Wirkung, Springer. pp. 160-165. 2018.
    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.
  •  16
    Language, Logic, and Mathematics in Schopenhauer. (edited book)
    Birkhäuser. 2020.
    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, demo…Read more
  •  15
    Logic Diagrams, Sacred Geometry and Neural Networks
    Logica Universalis 13 (4): 495-513. 2019.
    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 of logic diagrams, their…Read more
  •  15
    The productive ambiguity of Venn’s three circles.
    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. 2020.
    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.
  •  13
    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 syst…Read more
  •  13
    Warum ist überhaupt etwas und nicht nichts? Wandel und Variationen einer Frage
    with Daniel Schubbe and Rico Hauswald
    Meiner. 2013.
    Die Frage ›Warum ist überhaupt etwas und nicht vielmehr nichts?‹ gehört zu den ebenso traditionsreichen wie umstrittenen Problemen der Philosophie. Bereits mehrmals in die Mottenkiste der Philosophiegeschichte verbannt, erlebt sie doch zuverlässig ihre Renaissancen. Der vorliegende Band nimmt sich der ›Grundfrage‹ in einer ideengeschichtlichen Perspektive an. Dabei stellt sich heraus, dass die systematisch keineswegs erst mit Leibniz auftauchende Frage in ihrer Geschichte von der Antike bis zur …Read more
  •  12
    Der Philosophiebegriff im florentinischen Renaissanceplatonismus
    Archiv für Begriffsgeschichte 58 9-44. 2016.
    The paper examines the definitions of the concept ‘philosophy’ resp. ‘the philosopher’ in Florentine renaissance Platonism, namely Marsilio Ficino and his scholar Francesco di Zanobi Cattani da Diacceto. Following Socrates and Pythagoras, Ficino distinguishes between mundane philosophy and divine sapientia. In contrast to his teacher, Diacceto’s Aristotelism rejects the Pythagoreanism and connects philosophy with sapientia. In order to show how the differences between Ficino and Diacceto emerge,…Read more
  •  12
    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 b…Read more
  •  11
    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.