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Play chess against yourself?

Is it possible to play chess against myself? Keeping in mind that I will always know what my "opponent" will do next?

But if it's possible, can it help in some way?
When asked if he played himself...Fischer said that he did, and that he always won. Might be some kind of paradox thing. If you defeat yourself...have you really won?! An ego thing for Fischer... I'm sure. :]
#2 thanks for the reference to the obscure novella: The Royal Game. Looks like it could be an interesting read.
#2 thanks for the reccomendation !

#5 That's an interesting way to look at it, do you really won? Who actually loses?

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