With an arts (history/political science) degree, a background in music and languages, and the fact I married an engineer from a family of engineers, and then worked with a company filled with hundreds of them, I have for decades felt stereotyped as a flaky, illogical, subjective right-brainer. Despite the fact that I was always very good at maths (and sciences till I dropped them to study the more interesting - in my mind at the time - arts subjects), and that I am quite analytical in terms of problem-solving, even whilst being empathic and intuitive, I never really thought about how important facts, reasoning and logic are to me.
But in recent years, I’ve realised how much logic helps me understand the world; if I believe X, then Y must follow. This was very important in my healing. I couldn’t continue to tell myself that I must have been judged unworthy and deserved this, when all the evidence in front of me was that this is not how the universe works. I couldn’t tell myself that I wouldn’t have been a good parent, when all evidence in front of me said that I would have been no worse than any of my family or friends (let alone the truly bad parents of the world), and so on.
So when you hear your own brain’s negative messages and assumptions, and know they are causing you pain, try applying some logic. In my experience, it shuts those messages down more than anything else, and ironically, frees your mind to be creative and happy.