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Abstract
One of the manuscripts of Buridan’s Summulae contains three figures, each in the form of an octagon. At each node of each octagon there are nine propositions. Buridan uses the figures to illustrate his doctrine of the syllogism, revising Aristotle's theory of the modal syllogism and adding theories of syllogisms with propositions containing oblique terms (such as ‘man’s donkey’) and with ‘propositions of nonnormal construction’ (where the predicate precedes the copula). Opropositions of nonnormal construction (i.e., ‘Some S (some) P is not’) allow Buridan to extend and systematize the theory of the assertoric (i.e., nonmodal) syllogism. Buridan points to a revealing analogy between the three octagons. To understand their importance we need to rehearse the medieval theories of signification, supposition, truth and consequence.
Original language  English 

Title of host publication  Around and Beyond the Square of Opposition 
Editors  JeanYves Béziau, Dale Jacquette 
Place of Publication  Basel 
Publisher  Birkhauser 
Pages  93110 
ISBN (Electronic)  9783034803793 
ISBN (Print)  9783034803786 
DOIs  
Publication status  Published  11 May 2012 
Publication series
Name  Studies in Universal Logic 

Keywords
 Octagons of Opposition
 Assertoric syllogism
 Modal syllogism
 Oblique syllogism
 Signification
 Buridan
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Dive into the research topics of 'John Buridan's Theory of Consequence and his Octagons of Opposition'. Together they form a unique fingerprint.Projects
 1 Finished

FOUNDATIONS OF LOGICAL CONSEQUENCE: Foundations of Logical Consequence
Read, S. (PI), Priest, G. G. (CoI), Shapiro, S. (CoI) & Celani, L. (Student)
Arts and Humanities Research Council
1/01/09 → 30/06/12
Project: Standard