THE SMARANDACHE CLASS OF PARADOXES

                           edited by C.Le

Let <A> be an attribute, and <Non-A> its negation.  Then:

Paradox 1.  ALL IS <A>, THE <Non-A> TOO.
  Exemples:
  E11: All is possible, the impossible too. 
  E12: All are present, the absents too.
  E13: All is finite, the infinite too.

Paradox 2.  ALL IS <Non-A>, THE <A> TOO.
  Exemples:
  E21: All is impossible, the possible too.
  E22: All are absent, the presents too.
  E23: All is infinite, the finite too.

Paradox 3.  NOTHING IS <A>, NOT EVEN <A>.

  Exemples:
  E31: Nothing is perfect, not even the perfect.
  E32: Nothing is absolute, not even the absolute.
  E33: Nothing is finite, not even the finite.

Remark: The three kinds of paradoxes are equivalent.  They are called:
             <The Smarandache Class of Paradoxes>.

More generally:

Paradox: ALL (Verb) <A>, THE <Non-A> TOO

(<The Generalised Smarandache Class of Paradoxes>)

Replacing <A> by an attribute, we find a paradox.

Let's analyse the first one (E11):

<All is possible, the impossible too.>

                        
  If this sentence is true, then we get that <the impossible is possible too>, 
wich is a contradiction; therefore the sentence is false.  (Object Language).
  But the sentence may be true, because <All is possible> involves that <the 
impossible is possible>, i.e.< it's possible to have impossible things>, 
which is correct.  (Meta-Language).

  Of course, from these ones, there are unsuccessful paradoxes, but the 
proposed method obtains beautiful others.
  Look at pun which remembers you Einstein:
        All is relative, the (theory of) relativity too!
 So:
     1. The shortest way between two points is the meandering way!
     2. The unexplainable is, however, explained by the word: "unexplainable"!


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