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Additional resources for Truth, interpretation, and information: Selected papers from the third Amsterdam colloquium
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K0(u),r>, <5,s>}> and <0, }<0',k>}>, where, again, u e V\Vj^ and s,6,φ' are as in the statement of CR2. e. a finite set of finite DR's, then a finite number of applications of the rules CR1-CR5 will convert it into a complete DRS. Any complete DRS obtained from Κ by a series of rule applications is called a completion of K. Clearly, if Κ has a principal member, then so does every completion of K. We can at last define the notion of a complete DRS for a discourse D. The definition proceeds by recursion on the length of D.
I doubt whether it makes much sense to speak of existence in connection with possible facts, even in the case of those possible facts which obtain here and now. However, this is not a crucial issue. I shall certainly quantify over possible facts, and if this commits me to assuming that they somehow 'exist', then I am ready to do so. Second, I shall hold that the totality of all possible facts can be treated as a set (in the mathematical sense of the word). As far as I can see, the only conceivable objection to this might be that set theory does not admit sets with the properties we shall ascribe to the set of all possible facts.
4. We are much assisted in our making of such guesses by the spectrum of our social prejudices. Sometimes, however, these may lead us astray, and embarrassingly so, as in the following riddle which advocates of Women's Lib have on occasion used to expose members of the chauvinistic rearguard: In a head-on collision both father and son are critically wounded. They are rushed into hospital where the chief surgeon performes an emergency operation on the son. But it is too late and the boy dies on the operating table.