Falsity is an absence of truth thus an absence. As an absence it is a negative limit, ie defining something by that which it is not (the limits of a thing). As a negative limit it is a limit thus falsity inherently exists and as existing has a truth value.
That if you define "false" as "no-true". But I say that that is no what it really is.
There are only True statements.
Falsity is relativity as relativity is partial truths.
Call it "falsity" if you want, but is just a right knowledge about something.
Are right knowledge relatives? Yes.
And I dont get then what you are saying.
All falsities contain an element of truth in the respect they require something that exists to be twisted, in another respect all falsities are true as falsities, and in a third respect all partial truths are false under different contexts and this is required by the fact that a partial truth is only true under a given context (in simpler terms: change the context and the truth value changes).