Controversies
Modal logic has been rejected by many philosophers. (Historically, philosophers starting with Aristotle seem to have had priority of interest in modal logic over mathematicians.)
Nicholas Rescher has argued that Bertrand Russell rejected Model Logic, and that this rejection led to the theory of modal logic languishing for decades. However, Jan Dejnozka has argued against this view, stating that a modal system which Dejnozka calls MDL is described in Russell's works, although Russell did believe the concept of modality to "come from confusing propositions with propositional functions," as he wrote in The Analysis of Matter.
Arthur Norman Prior warned his protégé Ruth Barcan to prepare well in the debates concerning Quantified Modal Logic with Willard Van Orman Quine, due to the biases against Modal Logic.
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