In October 2009, the Taiwanese government signed a protocol with the US. In this protocol, Taiwan agreed to lift all its BSE-related bans on the US beef. This decision however invited bitter opposition and brought increased pressure on the Legislative Yuan (the Taiwanese Parliament). Two months after the protocol signed, the Legislative Yuan amended the Act Governing Food Sanitation and reintroduced some BSE preventative measures, one of which is banned some internal organ parts from importation. This amendment however provoked an even bitter controversy: whether a cow's tongue, tail, penis, testicles, etc fall into the regulated category of internal organs or the unregulated "offal" group. This article applies the concept of finitism to analyzing the aforementioned controversy. It argues that meanings are always under creation and recreation; therefore there are no meanings that can be taken for granted. For finitists, meanings of a word or concept, say offal, can never be "fixed" by decisions or definitions. Given that finitism raises profound questions about the nature of knowledge and meaning, it is argued that finitism is a new departure point for refocusing our regulatory thinking.