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

By Jean-Yves Béziau

The speculation of oppositions in accordance with Aristotelian foundations of good judgment has been pictured in a extraordinary sq. diagram which are understood and utilized in lots of alternative ways having repercussions in numerous 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 concept. The sq. of competition from its beginning in antiquity to the current day maintains to exert a profound effect at the improvement of deductive common sense. because 10 years there's a new becoming curiosity for the sq. as a result of fresh discoveries and difficult interpretations. This e-book offers a suite of formerly unpublished papers via excessive point experts at the sq. from world wide.

Show description

Read or Download Around and Beyond the Square of Opposition PDF

Similar logic & language books


While this publication was once initially released in 2006, Epistemetrics used to be no longer as but a scholarly self-discipline. in regards to medical details there has been the self-discipline of scientometrics, represented through a magazine of that very identify. technology, even though, had a monopoly on wisdom. even though it is one among our most vital cognitive assets, it isn't our just one.

The Paradox of Self-Amendment: A Study of Logic, Law, Omnipotence, and Change

The 1st full-length learn of self-reference and paradox in legislation, this publication will intrigue and tutor an individual attracted to legislation, good judgment, philosophy, or political thought. historical past indicates that self-amendment - for instance, using a constitution's amending clause to amend itself - is common; criminal research indicates it to be lawful, whether (as a few logicians have alleged) it's self-contradictory; and philosophical research indicates it to be foundational for legality.

Against the Current: Selected Philosophical Papers

The current choice of seventeen papers, so much of them already released in overseas philosophical journals, bargains either with matters within the philosophy of common sense, the philosophy of arithmetic, the philosophy of language and epistemology. the 1st half includes severe exams and a little deviant renderings of the paintings of 2 seminal philosophers, Frege and Husserl, in addition to of the younger Carnap and Kripke.

Symbolic Logic An Introduction

This booklet is meant either as a textbook in symbolic good judgment for
undergraduate and graduate scholars and as a treatise on the founda-
tions of good judgment. a lot of the fabric used to be built in an under-
graduate path given for a few years in Yale collage. The
course used to be primarily a primary direction in good judgment for college kids interested
in technology. Many replacement units and strategies of presentation
were attempted. these incorporated listed below are the ones that appeared most

Extra info for Around and Beyond the Square of Opposition

Example text

Thus, I necessary: “Some men are animals” is true and opposed to O Necessary: “Not all men are 7 Unlike Aristotle, Avicenna does not use the word “contingency” in [14, p. 122]. 26 S. Chatti animals” which is false, and I impossible: “Some men are stones” is false and opposed to O Impossible: “Not all men are stones” which is true. Possible particulars are exemplified by: “Some men are writers” and “Not all men are writers” which are both true. Subcontrariety is then an opposition which makes the propositions never false together but sometimes true together.

233]. In Avicenna’s text, the modal sense is clear as we have seen. Logical Oppositions in Arabic Logic: Avicenna and Averroes 25 modal syllogisms. I. 13, 168)” [21, Sect. 3]. Similar distinctions are made by William of Sherwood, according to the same author [21]. This distribution of truth-values is exactly the same in Avicenna’s (and Al F¯ar¯ab¯ı’s) analysis, as will appear in the following list: A necessary: True E necessary: False A impossible: False E impossible: True A possible: False E possible: False I necessary: True I impossible: False I possible: True O necessary: False O impossible: True O possible: True These truth conditions follow directly from what Avicenna says about the truth-values of the considered propositions [14, p.

Log. Anal. 48, 279–300 (2005) The New Rising of the Square of Opposition 19 40. : Modality and paraconsistency. , Behounek, L. ) 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.

Download PDF sample

Rated 4.89 of 5 – based on 19 votes