This means that Υ''q'' = 1 if and only if ''q'' holds for the whole universe of discourse in question, that is, if and only ''q'' is the constantly true proposition '''1''' : '''B'''<sup>''k''</sup> → '''B'''. The ambiguities of this usage are not a problem so long as we distinguish the context of definition from the context of application and restrict all shorthand notations to the latter. | This means that Υ''q'' = 1 if and only if ''q'' holds for the whole universe of discourse in question, that is, if and only ''q'' is the constantly true proposition '''1''' : '''B'''<sup>''k''</sup> → '''B'''. The ambiguities of this usage are not a problem so long as we distinguish the context of definition from the context of application and restrict all shorthand notations to the latter. |