Truth value sets can be pretty exotic.
There is the usual {T,F} of binary logic. Or {0,1} if you like.
Then in ternary logic, there is {T, F, M} or {0,1,1/2}.
In fuzzy logic, any number between 0 and 1 (inclusive) can be a truth value.
But there are many logics with truth value sets that are what are known as lattices, which look like this.
The top value would be interpreted as "true" and the bottom "false" with many intermediate values.
And it gets a bit more exotic beyond that.
Stands to reason that binary logic is insufficient to fully portray even the physical universe, let alone all of reality.