• A Cube of Opposition for Predicate Logic
    Jørgen Fischer Nilsson
    Logica Universalis 14 (1): 103-114. 2020.
    The traditional square of opposition is generalized and extended to a cube of opposition covering and conveniently visualizing inter-sentential oppositions in relational syllogistic logic with the usual syllogistic logic sentences obtained as special cases. The cube comes about by considering Frege–Russell’s quantifier predicate logic with one relation comprising categorical syllogistic sentence forms. The relationships to Buridan’s octagon, to Aristotelian modal logic, and to Klein’s 4-group ar…Read more
  • The philosophical activity of modern Germany represents a peak in the history of philosophy beginning from Thales in ancient Greece. This book attempts to reconsider the conventional image of 19th-century German philosophy. To this end, it illuminates a forgotten philosophical stream contemporaneous with so-called "German idealism." From this perspective, this book examines the philosophy of Jakob Friedrich Fries, a philosopher contemporaneous and in confrontation with Hegel. By examining Fries’…Read more
  • Logical Foundations and Kant's Principles of Formal Logic
    Srećko Kovač
    History and Philosophy of Logic 41 (1): 48-70. 2020.
    The abstract status of Kant's account of his ‘general logic’ is explained in comparison with Gödel's general definition of a formal logical system and reflections on ‘abstract’ (‘absolute’) concepts. Thereafter, an informal reconstruction of Kant's general logic is given from the aspect of the principles of contradiction, of sufficient reason, and of excluded middle. It is shown that Kant's composition of logic consists in a gradual strengthening of logical principles, starting from a weak princ…Read more
  • Defining a Me th=11pt ṇḍ th aka Question in the Questions of Milinda and Its Commentarial Texts
    Eng Jin Ooi, Andrew Schumann, and Natchapol Sirisawad
    Journal of Indian Philosophy 51 (5): 567-589. 2023.
    The word _meṇḍaka_, a derivative of _meṇḍa_ (“ram”), is generally translated as “made of the ram” or “about the ram” or “horned.” However, in the Pāli _Milindapañha_ (_Questions of Milinda_), the word _meṇḍakapañha_, literally, a question about the ram, is also rendered as a logical conclusion that refutes an imaginary dilemma. Hence, in this treatise, the word _meṇḍaka_ is a special logical term which means an imaginary dilemma that can be logically refuted. This raises the question as to why t…Read more
  • Mathematics is a formal science, and it has historically established itself as a paradigm of rigor and precision for other sciences. This is because, over the centuries, mathematics was considered...
  • Figuring it Out: Logic Diagrams (review)
    History and Philosophy of Logic 44 (1): 104-107. 2022.
    Linear diagrams (sometimes called ‘Line diagrams’) have an old history. Their past supporters include distinguished logicians such as Leibniz, Lambert and (J. N.) Keynes. Although circular diagrams...
  • Was Schopenhauer a Kantian Ethicist?
    International Journal of Philosophical Studies 28 (2): 168-187. 2020.
    ABSTRACTCommentators have generally seen the compassionate person as a second-rate character vis-à-vis the ascetic ‘saint’ who denies the will-to-life and resigns from willing altogether in Schopen...
  • The Syllabus for Certain Topics of Logic is a long treatise that Peirce wrote in October and November to complement the material of his 1903 Lowell Lectures. The last of the eight lectures was on abduction, first entitled “How to Theorize” and then “Abduction.” Of abduction, the Syllabus states that its “conclusion is drawn in the interrogative mood ”.1 This is not the first time that Peirce associates abduction to interrogations,2 but the statement is significant because it is the first time th…Read more
  • Formes, objets et négation selon Granger
    Philosophiques 47 (1): 3-33. 2020.
    Il s’agit de comprendre dans cet article l’opposition formulée par Gilles-Gaston Granger entre deux types de négation : la négation « radicale », d’un côté, et les négations « appliquées » de l’autre. Nous examinerons les propriétés de cette opposition, ainsi que les enseignements à en tirer sur la philosophie de la logique de Granger. Puis nous proposerons une théorie constructive des valeurs logiques considérées comme des objets structurés, consolidant à la fois l’unité de la théorie logique d…Read more