Appreciating “And”

Do you ever think if one thing is true then the other automatically can not be true?

This is called all-or-nothing thinking. The cognitive distortion that a statement is either all true or not at all true. I’ll give you an example. I made a mistake at work the other day and I had a brief thought of “I’ve learned nothing, I can’t believe I did that”. My first thought was to assume I was incompetent/stagnant in my growth. This made me feel so powerless. But then I stopped and challenged that thought. I put it on trial and investigated evidences for and against it.