Changes

However, there is an obvious problem with this method of defining new notations.  It merely provides alternate signs for the same old uses.  But if the original signs are ambiguous, then equating new signs to them cannot remedy the problem.  Thus, it is necessary to find ways of selectively reforming the uses of the old notation in the interpretation of the new notation.

However, there is an obvious problem with this method of defining new notations.  It merely provides alternate signs for the same old uses.  But if the original signs are ambiguous, then equating new signs to them cannot remedy the problem.  Thus, it is necessary to find ways of selectively reforming the uses of the old notation in the interpretation of the new notation.

The invocation of higher order signs raises an important point, having to do with the typical ways that signs can become the objects of further signs, and the relationship that this type of semantic ascent bears to the interpretive agent's capacity for so called “reflection”.  This is a topic that will recur again as the discussion develops, but a speculative foreshadowing of its character will have to serve for now.

The invocation of higher order signs raises an important point, having to do with the typical ways that signs can become the objects of further signs, and the relationship that this type of semantic ascent bears to the interpretive agent's capacity for so called “reflection”.  This is a topic that will recur again as the discussion develops, but a speculative foreshadowing of its character will have to serve for now.