SMARANDACHE SORITES PARADOXES



                        edited by M.L.Perez





     Look at these Sorites Paradoxes (associated with Eubulides

of Miletus (fourth century B.C.):



     1) The Smarandache Invisible Paradox:

     Our visible world is composed of a totality of invisible

particles.

     a) An invisible particle does not form a visible object, nor

do two invisible particles, three invisible particles, etc. 

However, at some point, the collection of invisible particles

becomes large enough to form a visible object,

but there is apparently no definite point where this occurs.

     b) A similar paradox is developed in an opposite direction. 

It is always possible to remove an atom from an object in such a

way that what is left is still a visible object.  However,

repeating and repeating this process, at some point, the visible

object is decomposed so that the left part becomes invisible, but

there is no definite point where this occurs.

Between <A> and <Non-A> there is no clear distinction, no exact

frontier.  Where does <A> really end and <Non-A> begin?  We

extend Zadeh's fuzzy set term to neutrosophic concept.



     2) The Smarandache Mass Paradox:

     Things with mass result from atoms with quasi-null mass.



     3) The Smarandache Infinite Paradox:

     Infinitely many points form only a finite line segment.





Reference:

     Smarandache, F., "Neutrosophy. / Neutrosophic Probability,

Set, and Logic", American Research Press, Rehoboth, 1998.