Changes

Up to this point we have been treating the universe of discourse <math>X,\!</math> the quality <math>q,\!</math> and the symbol "<math>q\!</math>" as all of one piece, almost as if the entire context marked by <math>X\!</math> and <math>q\!</math> and "<math>q\!</math>" amounted to the only way of viewing <math>X.\!</math>  That is clearly not the case, but the fact is that people often use the term "universe of discourse" to cover a particular set of distinctions drawn in the space <math>X\!</math> and even sometimes a particular calculus or language for discussing the elements of <math>X.\!</math>  If it were possible to coin a new phrase in this realm one might distinguish these latter components as the "discursive universe", but there is probably no escape from simply recognizing the equivocal senses of the terms already in use and trying to clarify the senses intended in context.

Up to this point we have been treating the universe of discourse <math>X,\!</math> the quality <math>q,\!</math> and the symbol "<math>q\!</math>" as all of one piece, almost as if the entire context marked by <math>X\!</math> and <math>q\!</math> and "<math>q\!</math>" amounted to the only way of viewing <math>X.\!</math>  That is clearly not the case, but the fact is that people often use the term "universe of discourse" to cover a particular set of distinctions drawn in the space <math>X\!</math> and even sometimes a particular calculus or language for discussing the elements of <math>X.\!</math>  If it were possible to coin a new phrase in this realm one might distinguish these latter components as the "discursive universe", but there is probably no escape from simply recognizing the equivocal senses of the terms already in use and trying to clarify the senses intended in context.

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