By Morgenstern A.
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Additional info for Beitraege zur numerischen Loesung der Gleichungen fuenften Grades
In view of its usage in everyday speech this formulation is considerably vague and needs defining somewhat. This can be done in two ways, by defining exactly the conditions under which one expression may represent another, and by defining exactly what is preserved. 8 If we treat the terms 'replace' and 'represent' as a relation of expressions of language, it is possible, with one expression replacing another, to study the conditions for that relation, for example the conditions needed for it to be a symmetrical and transitive relation.
And because this starting point is limited, there are also limits to the familiar hypothesis, based on the conception of the second signalling system, which says that a word is a "signal of a signal". e. words such as 'and' 'or', 'all', 'none' etc. The limitations of ostensive definition, together with the limitations of associationalist approaches as means for acquiring sense, are also due to the fact that, generally speaking, only part of any universe is accessible empirically, although it seems unlikely that there will ever be any firm and universally valid limits to what can be acquired through ostensive definition.
It merely assumes a user of the symbol or, to be more precise, 'states of awareness' of that user that mediate the relations between symbol and referent. e. relations between language expressions and the elements of some extralinguistic world. e. relations to the language user. In this schema the syntactic problem is entirely to one side so that it becomes doubtful whether the triangle of reference actually captures those relations that are characteristic of language. g. THE CONCEPT OF SEMANTICS 19 Fig.