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Essay

Russell and the Puzzle of Excluded Middle

Essay specific features

 

Issue:

Philosophy

 

Written by:

Barbara E

 

Date added:

April 29, 2016

 

Level:

University

 

Grade:

A

 

No of pages / words:

4 / 851

 

Was viewed:

5055 times

 

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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...
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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...
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