In classical thermodynamics, the entropy change for an irreversible process in a closed system is always greater than zero, while it is zero for a reversible process. The discussion highlights a common misconception regarding entropy changes in closed systems during irreversible processes. Clarifications were made regarding the conditions under which entropy can remain constant. The importance of accurately understanding these principles is emphasized, especially in the context of thermodynamic processes. Overall, the consensus is that entropy change cannot be zero in irreversible processes within closed systems.