# True and False… Can there be other possibilities?

In the natural logic system we're using, every logical statement is either true($T$) or false($F$), so there are only two possible states. Can there be other possibilities? I mean, for example, can we form a sufficiently interesting logical system with $T, F, X$ (where $X$ is another possible state)?

• I think you should search for fuzzy logic, if that helps. – thanasissdr Sep 25 '14 at 10:32
• $\text{"I am a Liar"}$ – Nick Sep 25 '14 at 10:39