*37. PLURAL DESCRIPTIVE FUNCTIONS.
Project Gutenberg EPUB3 edition
Whitehead, Alfred North and Russell, Bertrand
*37·451.
*37·46.
*37·461.
*37·462.
*37·47.
Dem.
*37·5.
Dem.
*37·501.
Dem.
*37·502.
*37·51.
Dem.
*37·52.
The following propositions, down to *37·7 exclusive, are concerned with the special properties of which result from the hypothesis , defined in *37·05. The hypothesis is important, because it has many consequences and is satisfied in many cases with which we wish to deal.
*37·6.
This proposition is very important, and is used constantly.
Dem.
*37·601.
Dem.
*37·61.
Dem.
*37·62.
Dem.
The above is the type of inference concerning which Jevons says[57]: "I remember the late Prof. De Morgan remarking that all Aristotle's logic could not prove that 'Because a horse is an animal, the head of a horse is the head of an animal.'" It must be confessed that this was a merit in Aristotle's logic, since the proposed inference is fallacious without the added premiss " the head of the horse in question." E.g. it does not hold for an oyster or a hydra. But with the addition , the above proposition gives an important and common type of asyllogistic inference.
*37·63.
Dem.
This proposition is very frequently used.
*37·64.
Dem.
*37·65.
Dem.
*37·66.
Dem.
*37·67.
Dem.
*37·68.
Dem.
*37·69.
Dem.