Wednesday, February 10, 2010

The Following Statement is True: The Previous Statement is False?

what kind of critical thinking exercise is this? what books explain this type of logic in language, and in real life?The Following Statement is True: The Previous Statement is False?
';A point in every direction, is the same as no point at all.';The Following Statement is True: The Previous Statement is False?
it like a circle. because the first sentence say that the next one is true, but the second one say that the first is false, that mean that the second one is true and the first is false.


at this point, it should read like this:


';the following statement is false: the previous statement is true';.


but because it now read like that, by our logic it should be reversed again to the original statement, which will then be reversed again, and so on.
This paradox can be further reduced to:





';This statement is false';.





Both the statements are clearly both true and false at the same time and there lies the paradox. Can this scenario truly exist. Well, clearly by your example, it can.





My childhood hero, Martin Gardner -Scientific American's resident mathematician and author of numerous popular mathematical titles such as ';Gotcha!'; talked at length of this of this paradox and compared it to his ';Paradox of the Unexpected Hanging';.





This was a tale of a man sentenced for a crime by a judge to execution by hanging. However, he stipulated that a condition of his sentence be that the man must hang within the next seven days but he must not know what day until the morning of his death when the executioners come to take him to the gallows.





As he sits and ponders in his prison cell he argues that he therefore cannot be executed on Day 7 because he will know the day before (Day6) that he is going to die on day 7 because he had not been taken away so far and the judge stipulated the date of the execution must fall within 7 days.





Using the same logic, he rules out day6 also. Then similarly, days 5,4,3 2 %26amp;1. So he must be set free.





The conditions of his sentence requiring the prisoner to be executed, mutually excludes that possibility.





Your example is a reduction of this and many similar forms of this paradox.





Your paradox provides faith to those believe in quantum mechanics cf: Schroedingers Cat which must be alive and dead at the same time until the box is opened.
-The present is greater than the past.


-Time goes by very fast.


-Look now, our thoughts are improving.


-Close your eyes, are you sleeping?


-The world is getting older.


-The powers are belong to the beholder.





-What is right, is not always right.


-We follow those who win all the fights.


-We believe in them, because they are ours leader.


-They are just like our fathers.


-He works hard for his love ones.


-He bring us all the funs.


-He grab on tie on that rope.


-He fight for us because he cares.


-His loves and our loves makes many pairs.


-It develops into the strength of a bear.
You need Raymond Smullyan. He wrote books called ';What is the Name of this Book?'; and ';This Book Needs No Title';
Not critical thinking at all. Word tricks.





Your maths teacher can prove that 1=2 etc.





It doesn't though, does it?
It's TRUE that you play us


FALSE by putting up word games.
That is just confusing. But I guess it will really get you thinking.

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