Re: How are possible the Smarandache Uncertainty, Unstable, etc. Paradoxes?

Hello Chong,

First and foremost, I have to admit that though I admire Florentin Smarandache's work, I find fuzzy logic... well, fuzzy. It's not easy to wrap one's brain around it, that much is for sure.

The nature of paradoxes drive all of us humans slightly mad. The Smarandache paradoxes are no exception.

In answer to your question, I think I'm going to opt for the words of Florentin Smaradache himself - "All is possible, the impossible too." I don't think anyone would venture to give you a figure (say, a probability factor) of how possible the paradoxes are... other than to say, they are possible.

Always remember: A paradox is a statement that may be true, but seems to say two different things. Seeming to be different does not necessarily mean impossible...

Here are some references that might interest you in your quest for the "truth" about the paradoxes...

• Le, C. T. ``The Smarandache Class of Paradoxes.'' J. Indian Acad. Math. 18, 53-55, 1996.
• Mitroiescu, I. The Smarandache Class of Paradoxes. Glendale, AZ: Erhus University Press, 1994.
• Smarandache, Florentin, "Sorites Paradoxes", in "Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry", Xiquan Publishing House, Phoenix, 69-70, 2000.
• Smarandache, Florentin, "Invisible Paradox" in "Neutrosophy. / Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, 22-23, 1998.

There are a number of websites out there dealing with the Smarandache paradoxes and other mathematical headaches - just poke through your favourite search engine and give it a whirl...

I do recommend taking along some aspirin, just in case ;)

Best wishes,

Helene J. Boyer