Puzzles about Identity. Aristotle and his Greek Commentators, 1985
By: Mignucci, Mario, Wiesner, Jürgen (Ed.)
Title Puzzles about Identity. Aristotle and his Greek Commentators
Type Book Section
Language English
Date 1985
Published in Aristoteles - Werk und Wirkung. Paul Moraux gewidmet. Bd. 1: Aristoteles und seine Schule
Pages 57-97
Categories no categories
Author(s) Mignucci, Mario
Editor(s) Wiesner, Jürgen
Translator(s)
Aristotle’s conception of identity is too large a subject to be analyzed in a single article. I will try to discuss here just one of the many problems raised by his views on sameness. It is not, perhaps, the most stimulating question one could wish to see treated, but it is a question about logic, where I feel a little more at ease than among the complicated and obscure riddles of metaphysics. My subject will be Aristotle’s references to what is nowadays called ‘Leibniz’ Law* (YLL)’)\ if two objects x and y are the same, they both share all the same properties. [...] It is perhaps worth remembering that (LL) must be distinguished from what is normally called the ‘principle of substitutivity’ (‘(SP)*) according to which substitution of expressions which are said to be the same is truth preserving. As has been shown, (LL) does not entail (SP), since there are counterexamples to (SP) that do not fal­ sify (LL).2 Not only (SP), but also (LL), has been doubted by some modern logicians. The question is far from being settled and it is perhaps of interest to examine how ancient logicians tried to manage this problem.First, I will consider Aristotle’s statements about (LL) and the analyses he gives of some supposed counterexamples to this princi­ ple. Secondly, the interpretations of his view among his Greek com­ mentators will be taken into account and their distance from the position of the master evaluated. As Professor Moraux has taught us, the study of the Aristotelian tradition often gives us the opportu­ nity of understanding Aristotle’s own meaning better. [Introduction, pp. 57 f.]

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  • PAGE 1 OF 1
Puzzles about Identity. Aristotle and his Greek Commentators, 1985
By: Mignucci, Mario, Wiesner, Jürgen (Ed.)
Title Puzzles about Identity. Aristotle and his Greek Commentators
Type Book Section
Language English
Date 1985
Published in Aristoteles - Werk und Wirkung. Paul Moraux gewidmet. Bd. 1: Aristoteles und seine Schule
Pages 57-97
Categories no categories
Author(s) Mignucci, Mario
Editor(s) Wiesner, Jürgen
Translator(s)
 Aristotle’s conception of identity is too large a subject to be 
analyzed in a single article. I will try to discuss here just one of the 
many problems raised by his views on sameness. It is not, perhaps, 
the most stimulating question one could wish to see treated, but it is 
a question about logic, where I feel a little more at ease than among 
the complicated and obscure riddles of metaphysics. My subject will 
be Aristotle’s  references to what is nowadays called ‘Leibniz’ Law* 
(YLL)’)\ if two objects x and y are the same, they both share all the 
same properties. [...] It is perhaps worth remembering that (LL) must be distinguished 
from what is normally called the ‘principle of substitutivity’ (‘(SP)*) 
according to which substitution of expressions which are said to be 
the  same  is  truth  preserving.  As  has  been  shown,  (LL)  does  not 
entail  (SP), since there are counterexamples to (SP) that do not fal­
sify (LL).2 Not only (SP), but also  (LL), has been doubted by some 
modern  logicians. The  question  is  far from  being settled  and  it is 
perhaps of interest to examine how ancient logicians tried to manage 
this problem.First,  I will  consider Aristotle’s statements  about  (LL)  and  the 
analyses he gives of some supposed counterexamples to this princi­
ple. Secondly, the interpretations of his view among his Greek com­
mentators  will  be  taken  into  account  and  their  distance  from  the 
position of the master evaluated. As  Professor Moraux has taught 
us, the study of the Aristotelian tradition often gives us the opportu­
nity of understanding Aristotle’s own meaning better. [Introduction, pp. 57 f.]

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