i am unsure so plez correct me if im wrong.
there is only one rule tautologys follow
- a tautology is only true if it contains no contradiction.
yet that rule is built using tautology,
i therefore ask is the non-contradiction tautology the tautology of tautology's.
2007-01-09 02:32:11 · 4 answers · asked by kevin h 3 in Science & Mathematics ➔ Mathematics
I believe that would be called a "metatautology".
But you're getting into the world of Gödel there. Next you'd demand a "tautology of the tautology of tautologies", a "metametautology".....
Just go out and buy Gödel, Escher, Bach: An Eternal Golden Braid instead.
2007-01-09 02:43:57 · answer #1 · answered by Jim Burnell 6 · 0⤊ 0⤋
I assume you're talking about logic.
A tautology is a logic statement that is true for any possible set of truth values
e.g. (A \/ B) \/ (¬A /\ ¬B)
By definition, a tautology is always true, so a sentence beginning "a tautology is only true if" is nonsensical.
2007-01-09 02:42:16 · answer #2 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
I think a tautology is when to near synonyms are placed next to each other for added effect:
ie., a free gift, a new innovation
In math it is a problem in propositional calc that is always true.
2007-01-09 02:42:23 · answer #3 · answered by sweetsouth 3 · 0⤊ 0⤋
You're asking if you can violate the basic axiom of tautologies. The answer is no.
2007-01-09 02:56:11 · answer #4 · answered by bequalming 5 · 0⤊ 0⤋