Around and Beyond the Square of Opposition by Jean-Yves Béziau

By Jean-Yves Béziau

The speculation of oppositions according to Aristotelian foundations of common sense has been pictured in a outstanding sq. diagram which are understood and utilized in lots of alternative ways having repercussions in a variety of fields: epistemology, linguistics, arithmetic, sociology, physics. The sq. is usually generalized in different two-dimensional or multi-dimensional gadgets extending in breadth and intensity the unique Aristotelian thought. The sq. of competition from its starting place in antiquity to the current day keeps to exert a profound impression at the improvement of deductive good judgment. in view that 10 years there's a new turning out to be curiosity for the sq. as a result of contemporary discoveries and demanding interpretations. This publication offers a set of formerly unpublished papers by way of excessive point experts at the sq. from world wide.

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Extra resources for Around and Beyond the Square of Opposition

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Transgressing the boundaries: towards a transformative hermeneutics of quantum gravity. -Y. br Logical Oppositions in Arabic Logic: Avicenna and Averroes Saloua Chatti Abstract In this paper, I examine Avicenna’s and Averroes’ theories of opposition and compare them with Aristotle’s. I will show that although they are close to Aristotle in many aspects, their analysis of logical oppositions differs from Aristotle’s by its semantic character, and their conceptions of opposition are different from each other and from Aristotle’s conception.

Béziau). Theoria 71, 241–262 (2005) 32. : Rachunek zdan dla systemów dedukcyjnych sprzecznych. Stud. Soc. Sci. , Sect. A I(5), 55–77 (1948) 33. : Logik (1800) 34. The Kybalion: A Study of the Hermetic Philosophy of Ancient Egypt and Greece. Yogi Publication Society (1908) 35. : Triangular logic. The Philosophers’ Magazine 44, 83–88 (2009) 36. : A system of modal logic. J. Comput. Syst. 1, 111–149 (1953) 37. : Logical extensions of Aristotle’s square. Logica Univers. 2, 167–187 (2008) 38. : On Beziau’s logic Z.

The Logica Yearbook 2004, pp. 213–222. Filosofia, Prague (2005) 41. : Geometry of modalities? Yes: through n-opposition theory. , Facchini, A. ) Aspects of Universal Logic. Travaux de logique, vol. 17, pp. 102–145. Université de Neuchâtel, Neuchâtel (2004) 42. : The geometry of logical opposition. PhD Thesis, University of Neuchâtel (2009) 43. -Y. Beziau’s method by means of some non-normal modal logics. Bull. Sect. Log. 37, 185–196 (2008) 44. : Beziau’s logics obtained by means of quasi-regular logics.

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