My Truth - Truth, Fact, or Opinion

We've spent a lot of time on Exploracast talking about the growing need for better communication and understanding between people, especially if we are to productively face the challenges of our time. As we've discussed this need, we also encounter so many challenges to making it happen. One seems to be the idea that everyone has their own "truth". What do people mean when they use the phrase "my truth"? Are they trying to convey actual facts, share their experience, or stonewall against other ideas?