Abstract

Objective: The aim of this study is to re-evaluate the relationship between Aristotle’s law of contradiction and Einstein’s special theory of relativity.
 Methods: In order to clarify the relationship between Aristotle’s law of contradiction and Einstein’s special theory of relativity, several different approaches were chosen and appropriate theorems were developed.
 Results: It was possible to provide the proof that Aristotle’s law of contradiction is observer dependent too but does not contradict Einstein’s special theory of relativity. Furthermore, a derivation of Aristotle’s law of contradiction from the identity law (principium identitatis) was provided.
 Conclusions: Aristotle’s law of contradiction and Einstein’s special theory of relativity are compatible with each other.
 Keywords: principium identitatis, principium contradictionis, causality, Einstein’s special theory of relativity

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