Validity of the laws of Non-contradiction and Excluded middle; Logical or Psychological (Review of misunderstandings and misinterpretations, self-made accusations and types of fallacies in a criticism)

In Classical Logic, the law of non-contradiction and the law of excluded middle are considered theorems and have proof. Recently, Morteza Hajihosseini has written a book titled Two Non-Classical Logic Systems, A New Outlook on Elements of Logic (2017) and also published the second edition (2023) of it. In this book, he established two truth-functional and non-truth-functional systems in logic. In this logic, the law of non-contradiction and the law of excluded middle are in the form of a rule that every line of the argument is written based on them and are therefore considered unprovable. Asadollah Fallahi has recently written several criticisms on this book in the form of separate articles and the author of the book has responded to each of these articles separately. Fallahi, in his last review of the book titled "Philosophical Foundations of Hajhosseini's Logics" Volume 14, Issue 2, February 2024 in Contemporary Wisdom Journal, critiques the philosophical foundations of the truth-functional and non-truth-functional systems, including the author’s views on the law of non-contradiction and the law of excluded middle and their consequences, without clarifying his stance on whether a non-formal language is presupposed or not. In this article, we first explain the philosophical and epistemological foundations of logical systems and compare these systems with respect to these foundations. Then, we respond to Fallahi’s criticisms one by one.