Saul Kripke's puzzle about belief demonstrates the lack of soundness of the
traditional argument for the Fregean fundamental principle that the senten
ces 'S believes that a is F' and 'S believes that b is F' can differ in tru
th value even if a = b. This principle is a crucial premise in the traditio
nal Fregean argument for the existence of semantically relevant senses, ind
ividuative elements of beliefs that are sensitive to our varying conception
s of what the beliefs are about. Joseph Owens has offered a new argument fo
r this fundamental principle, one that is not subject to Kripke's criticism
s. I argue that even though Owens' argument avoids Kripke's criticisms, it
has other flaws.