@JLNobody,
Truth is something that exists both as but also beyond the concept. Falsehood on the other hand is manufactured out of error within the mind. It would be more akin to simply a concept.
Take the following for example:
The sun is a sphere
This statement is not referring to the concept of the sun but rather the actual sun. The truth is the sun itself. The statement is said to be true if the truth agrees with it. This ultimate truth is what actually exists. It is said to be false if it does not.
As a concept the sun can be either spherical or a cube. If the truth where nothing more then concept then either could be true and it would just be a matter for us to chose. But this isn't what happens at all. Instead we gather evidence from reality and build a concept, an understanding of it, based on that evidence. The benchmark for its validity always stems back to existence itself.
For example:
The volume of the universe is infinite.
The statement is conjecture. It is a concept derived without evidence. As it stands it may or may not be a statement of truth. What ultimately decides it's validity as a truthfull statement is reality itself, what actually exists. You and many, many other people may or may not believe it to be true but that doesn't make it so. If false the statement is nothing more then an erroneous concept. If true it is a concept that the truth agrees with.