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Russell and the Puzzle of Excluded Middle
Essay specific features
Written by:
Barbara E
Date added:
April 29, 2016
Level:
University
Grade:
A
No of pages / words:
4 / 851
Was viewed:
5048 times
Rating of current essay:
Essay content:
Holding this principle as truen, a problem arises when one considers a situation in which the referent of a sentence involves a vacuous singular. For example, one considers two sentences:
(1) The present King of France is bald
(2) The present King of France is not bald
Russell notices that if one were to look at the list of all the people in the world who are bald and the list of all those who are non-bald, the present King of France does not appear on either list...
displayed 300 characters
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In fact, there does not exist a present King of France, which makes the vacuous denoting phrase of "present King of Frace" neither bald nor non-bald. Using this logic, the sentences are both false (Russell posits Hegel's solution to this dilemma that the king is probably wearing a wig). However, the principle of excluded middle makes it impossible for two contradictory sentences to have the same truth value...
displayed 300 characters
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