Re: [math-fun] Nth roots of tautology

My twin's twin... My spouse's spouse... My triplet's other triplet... The enemy of my enemy... Shirtsleeves to shirtsleeves in 3 generations... At 08:18 AM 3/6/2011, Adam P. Goucher wrote:

Dear all:

Negation and tautology are both square-roots of tautology, as:

"This statement is true." = "This statement is not not true."

Do there exist words (in any language) which act as cube-roots of tautology (excluding the trivial case of tautology itself)? Or, more generally, Nth roots of tautology, for arbitrary natural numbers N?

If we did have such words in the English language, what logical effect would they have on the meaning of a sentence?

Sincerely,

Adam P. Goucher