*37. PLURAL DESCRIPTIVE FUNCTIONS.
Project Gutenberg EPUB3 edition
Whitehead, Alfred North and Russell, Bertrand
A specially important case of is or . This case will be further studied later (in *70); for the present, we shall only give a few preliminary propositions about it. It will be observed that the hypothesis or is always verified, in virtue of *32·12·121. Hence the following applications of *37·6 ff.:
*37·7.
*37·701.
*37·702.
*37·703.
*37·704.
*37·705.
*37·706.
*37·707.
*37·708.
*37·709.
*37·71.
*37·711.
*37·712.
*37·713.
*37·72.
Dem.
*37·721.
*37·73.
*37·731.
Observe that the 's which occur in this proposition will not be all of the same type. E.g. if relates individuals to individuals, the first will be the class of no individuals, while the second and third will be the class of no classes. Thus the ambiguity which attaches to the type of must be differently determined for different occurrences of in this proposition. In general, when this is the case with our ambiguous symbols, we shall adopt a notation which indicates the fact. But when the ambiguous symbol is , it seems hardly worth while.
*37·74.
Dem.
*37·75.
*37·76.
Dem.
*37·761.
*37·77.
*37·771.
*37·772.
*37·773.
*37·78.
*37·781.
*37·79.
*37·791.
*37·8.
Dem.
*37·81.
*37·82.