Our thinking/representations can take and do take (and basically all, in effect, at once, phenomenologically) considerations of 4 truth-values:
1. A, 2. not A, 3. A and not A, 4. not A and not not A.
Not to think like this is to misrepresent that which is IN (that which IS) major elemental aspects of thinking (true most-major parts of real thinking; important thinking in reality).
NOTE:
This is not to preclude some statements for some purposes being TRUE or FALSE.
For those of you who are mathematically oriented and for a detailed explanation in math: see:
Chapter Category Theory and the Ontology of Sunyata