
Applied Math Applied Math Forum 
View Poll Results: A: A is false.  
B: A is false.  0  0%  
C: A is both true and false.  1  33.33%  
D: A is neither true or false.  0  0%  
E: A is not a valid statement.  2  66.67%  
F: I don't know.  0  0%  
Voters: 3. You may not vote on this poll 
 LinkBack  Thread Tools  Display Modes 
August 30th, 2007, 05:06 AM  #1 
Newbie Joined: Aug 2007 Posts: 11 Thanks: 0  The Liar paradox and Logic values
Hi My oppinion is that A is both true and false... even if it does break the law of excluded middle. If the law really can have no exception then ill have to go for D i guess... I have heard about logic systems with more than two truth values. For instance A seems to not be a paradox only in infinite valued logic. Anibody heard about less than two truth valued logic? With only one truth value? Or none? What would we get in that case? At least no paradox would arise as well right? 
August 30th, 2007, 11:35 AM  #2 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
I would contend that the statement is meaningless, since the statement makes a statement about the truth or falsity of itself, thus making it an infinite loop. In other words, there is no answer, and the statement is invalid.

September 1st, 2007, 05:10 AM  #3 
Newbie Joined: Aug 2007 Posts: 11 Thanks: 0 
Thanks for the reply. I do know that in formal logic it is not a valid statement... The recursive definition does not include A as a well formed formula. But do you think it is still not valid in intuitive logic? What about in english? You still dismiss it? What about different valued logics? Do you have anything on that? And people, please don't be shy, VOTE, I mean, it's just a click and I can't really make any conclusions on 2 votes out of 20 views. 
September 23rd, 2007, 10:02 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 20,467 Thanks: 2038  Quote:
 
September 23rd, 2007, 12:12 PM  #5  
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0  Quote:
 

Tags 
liar, logic, paradox, values 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
The Liar, The Truth Teller And The Random Answerer  mathmaniac  New Users  14  February 22nd, 2013 05:36 PM 
find values of ? that correspond to the ? values?  space55  Calculus  0  October 10th, 2010 03:23 PM 
Liar's dice  thosylve  Algebra  0  January 24th, 2010 12:30 PM 
Is this a paradox?  wonderboy1953  Physics  1  December 3rd, 2009 01:52 AM 
The Liar, The Truth Teller And The Random Answerer  mathmaniac  Applied Math  0  December 31st, 1969 04:00 PM 