Talk:Paradox of entailment

message: Is water only able to produce rain? Can other substances rain? If yes, this premise is incorrect and since the logic is based on this premise, this statement is then incorrect. Food for thought, Daimanta 16:47, 5 January 2007 (UTC)
replies: text: Clearly, it's stupid to base an argument on any set of inconsistent premises.  Since they're inconsistent, the argument can never be sound, and thus will not mean anything of value. Boycottfood (talk) 01:18, 9 December 2007 (UTC)

text: Similarly, any arithmeticaly inconsistent premises can be used to construct the statement "1=2". Then the same argument shows that P = Q, for any two satements P and Q.
There is a little bit of truth to this last bit, but not much. Not enough for the article, even in the state it is currently in. 192.75.48.150 20:15, 25 August 2006 (UTC)

text: No, I don't think so.  If I take as my premises A and \lnot A, then I can prove that anything is true.  I write down the implication (A \land \lnot A) \rightarrow  I am a fish,  which is a tautology.  Then, since I know A and I know \lnot A, as they were my premises, I know (A \land \lnot A).  Then, using that, Modus Ponens brings us to the conclusion that I am a fish.  Obviously, you could substitute any conclusion you want in the place I put I am a fish.  Boycottfood (talk) 01:18, 9 December 2007 (UTC)
thread_title: If it is raining, water exists 

message: Is there a specific reason why this diff changes the conclusion? — metaprimer (talk) 04:52, 15 September 2007 (UTC)
replies: text: I imagine it has something to do with the "pope" reference, perhaps?  I'm inclined to put a different phrase there.  I think "Water exists" is a poor conclusion to demonstrate the the paradox, first because it is related to the premises and second because it's true.  Boycottfood (talk) 06:57, 9 December 2007 (UTC)
thread_title:  "George Washington is the Pope" vs. "Water exists" 

message: Could a better example for the inconsistent premise be:
    * If it is raining, water exists (1st premise; always true)
    * Water exists (2nd premise)
    * It is raining (Conclusion)
The conclusion is not certain (since it may not be raining, you may just be sat in a bath tub full of water)
sorry if I totally misunderstood the topic  —Preceding unsigned comment added by 213.249.229.58 (talk) 12:46, 7 February 2008 (UTC)
replies: text: Those premises are not inconsistent.  :)  Djk3 (talk) 08:13, 8 February 2008 (UTC)
thread_title: Inconsistent Premise

message: OK, i am totally lost. 
Matter has mass (1st premise; true) 
Matter does not have mass (2nd premise; false) 
All numbers are equal to 42 (Conclusion) 
How do we get that all numbers equal 42, from matter has mass? Can someone explain that to me? Oh, and also, in the beginning, when it says:
It is raining. 
It is not raining. 
Therefore: 
George Washington was a zombie 
Like, come on. Bingowasmynameo (talk) 18:14, 27 December 2008 (UTC)
thread_title:  Woah... 

message: As per the matching talk page, I don't think there can be any real objection to the merge, although it is not obvious which title the merged article should have. — Charles Stewart (talk) 09:16, 10 March 2009 (UTC)
thread_title:  Merge with [[Paradoxes of material implication]]