Logic
Analyzing the development of the natural sciences, he sought to uncover their specific "logic." According to Orlov, the laws of thought should be treated as formal rules, bounded by the laws of identity and contradiction. (When Orlov wrote this, the invention of natural deduction, the sequent calculus, and the semantic tableaux all lay in the future.) We must seek the semantic relation between antecedent and consequent. The main "contradiction of logic" manifests itself in the linkage of premise and corollary, and requires a logic different from the traditional one. If we insist that a corollary be a necessary condition of the premises then, according to Orlov, we necessarily arrive at a non-Aristotelian logic, dialectical in nature.
Read more about this topic: Ivan Orlov (philosopher)
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