Classification of shemutah, rov vs. chazakah, and mikveh deficiency

Description

The Chasam Sofer distinguishes shemutah from nikuvas ha'veshet, defends the Halachos Gedolos that shemutah is not a treifah and thus its milk is permitted, argues that chezkas chai combines rov and chazakah while the Parah Adumah case is resolved by rov alone, and explains the Rambam's distinction between a deficient mikveh and wine barrels via the differing time-frames of the respective changes.