•  15
    Handbook of Mereology (edited book)
    with Johanna Seibt and Guido Imaguire
    Philosophia. 2017.
    The present volume is the first comprehensive reference work for research on part-whole relations. The Handbook of Mereology offers a wide scope, inclusive presentation of contemporary research on part-whole relations that draws out systematic, historical, and interdisciplinary trajectories, shows the subject’s fertility, and inspires future explorations. In particular, we want to impress that mereology is much more than the study of axiomatised systems. The relationship between part and whole i…Read more
  •  45
    Omniscience in Łukasiewicz’s, Kleene’s and Blau’s Three-Valued Logics
    Polish Journal of Philosophy 5 (1): 59-78. 2011.
    In this paper several assumptions concerning omniscience and future contingents on the one side, and omniscience and self-reference on the other, areexamined with respect to a classical and a three-valued semantic setting.Interesting features of both settings are highlighted and their basic assumptions concerning omniscience are explored. To generate a context in which the notion of omniscience does not deviate from some basic intuitions, two special futurity operators are introduced in this art…Read more
  •  6
    Wenn die Moglichkeit in Notwendigkeit umschlagt: Ein Beitrag zur Vorgeschichte modaler ontologischer Beweise
    Bochumer Philosophisches Jahrbuch Fur Antike Und Mittelalter 10 (1). 2005.
    Aristotle produced several arguments to vindicate the futura contingentia and to refute the conception of modalities which do not allow incidental facts. This conception was coined mainly by Diodorus Cronus and implied the view that whatever may happen, is to happen necessarily. Although Aristotle condemned this view and refuted the theology which it implies, Diodorean modalities were employed by the scholastics to support their theology. Abaelard's Diodorean formula reads: God wishes no more an…Read more
  •  12
  •  54
    Contents: Bas C. van Fraassen, Introduction Miloš Arsenijević, Avoiding Logical Determinism and Retaining the Principle of Bivalence within Temporal Modal Logic: Time as a Line-in-Drawing Allan Bäck, The Reality of the Statement and the Now in Aristotle Hans Burkhardt, Aristotle on Memory and Remembering and McTaggart’s A-Time and B-Time Series Stamatios Gerogiorgakis, Late Ancient Paradoxes concerning Tense Revisited Sonja Schierbaum, Ockham on Tense and Truth Hylarie Kochiras, Newton’s Absolut…Read more
  •  88
    New Dimensions of the Square of Opposition (edited book)
    with Jean-Yves Beziau
    Philosophia. 2017.
    The square of opposition is a diagram related to a theory of oppositions that goes back to Aristotle. Both the diagram and the theory have been discussed throughout the history of logic. Initially, the diagram was employed to present the Aristotelian theory of quantification, but extensions and criticisms of this theory have resulted in various other diagrams. The strength of the theory is that it is at the same time fairly simple and quite rich. The theory of oppositions has recently become a t…Read more
  •  24
    Mind the Croc! Rationality Gaps vis-à-vis the Crocodile Paradox
    History and Philosophy of Logic 37 (2): 101-113. 2016.
    This article discusses rationality gaps triggered by self-referential/cyclic choice, the latter being understood as choosing according to a norm that refers to the choosing itself. The Crocodile Paradox is reformulated and analyzed as a game—named CP—whose Nash equilibrium is shown to trigger a cyclic choice and to invite a rationality gap. It is shown that choosing the Nash equilibrium of CP conforms to the principles Wolfgang Spohn and Haim Gaifman introduced to, allegedly, guarantee acyclicit…Read more
  •  25
    Privations, Negations and the Square: Basic Elements of a Logic of Privations
    In Jean-Yves Beziau & Dale Jacquette (eds.), Around and beyond the Square of Opposition, Birkhäuser-springer. pp. 229--239. 2012.
    I try to explain the difference between three kinds of negation: external negation, negation of the predicate and privation. Further I use polygons of opposition as heuristic devices to show that a logic which contains all three mentioned kinds of negation must be a fragment of a Łukasiewicz-four-valued predicate logic. I show, further, that, this analysis can be elaborated so as to comprise additional kinds of privation. This would increase the truth-values in question and bring fragments of (m…Read more
  •  4
    Wenn die Möglichkeit in Notwendigkeit umschlägt: Ein Beitrag zur Vorgeschichte modaler ontologischer Beweise
    Bochumer Philosophisches Jahrbuch Fur Antike Und Mittelalter 10 21-36. 2005.
    Aristotle produced several arguments to vindicate the futura contingentia and to refute the conception of modalities which do not allow incidental facts. This conception was coined mainly by Diodorus Cronus and implied the view that whatever may happen, is to happen necessarily. Although Aristotle condemned this view and refuted the theology which it implies, Diodorean modalities were employed by the scholastics to support their theology. Abaelard's Diodorean formula reads: God wishes no more an…Read more
  •  9
    Georgi Kapriev, Philosophie in Byzanz
    Byzantinische Zeitschrift 100 (1): 223-225. 2008.
  •  8
    As far as the law of preservation of matter and the existence of ether are concerned, Kant, Lomonossow and Lavoisier had very similar views. Nevertheless, according to historical evidence they worked out their theories never taking each other's results for granted. Whereas it is well known that Lavoisier did not base his experiments on the former ones by Lomonossow, it has been argued that Kant based his philosophy of nature on Lavoisier's experiments. I try to show here, that Kant had his philo…Read more
  •  11
    Logische Abhandlungen
    History and Philosophy of Logic 31 (3): 291-293. 2010.
    This Article does not have an abstract
  •  30
    The Byzantine Liar
    History and Philosophy of Logic 30 (4): 313-330. 2009.
    An eleventh-century Greek text, in which a fourth-century patristic text is discussed, gives an outline of a solution to the Liar Paradox. The eleventh-century text is probably the first medieval treatment of the Liar. Long passages from both texts are translated in this article. The solution to the Liar Paradox, which they entail, is analysed and compared with the results of modern scholarship on several Latin solutions to this paradox. It is found to be a solution, which bears some analogies t…Read more
  •  18
    Logic for the Decalogue
    Sophia 53 (3): 331-338. 2014.
    In this article, I offer two different formalizations for prescriptions which correspond to two different forms of biblical prohibitions. I discuss the known fact that the prohibitive commandments of the Decalogue according to the Septuagint and the Vulgate, Exodus 20 and Deuteronomy 5, are formulated with normative future tense indicatives. However, the Greek and Latin sources provide in Mark 10:19 variants of five biblical prohibitive commandments which are formulated with prohibitive subjunct…Read more
  •  12
    After a short presentation of Aristotle’s views on morally acceptable pleasures vis-á-vis the hedonist and the Platonic views, the Byzantine commentaries published in CAG 19.2 and 20 on knowledge as pleasure are discussed. It is shown that the Byzantine commentators are eventually keen in discovering problems in the Aristotelian account, in a way reminiscent of their Christian premises and akin to Platonism.
  •  2
    Gaps, Gluts and God
    In Miroslaw Szatkowski (ed.), God, Truth, and Other Enigmas, De Gruyter. pp. 71-76. 2015.