I'm not here to pick a fight, but I do want to take issue with one of the things you said. How can you say that Galileo didn't have sound evidence? The guy went blind looking through a telescope which amounted to a coke bottle in its level of sophistication but was still able to detect the phases of Venus! That is solid proof that by itself debunks Heliocentrism.
I'm not saying he didn't have sound evidence (or at least, I didn't mean to make that claim), but the Church was looking for definite proof of this theory. It was still only a theory during Galileo's time -- it wasn't recorded as a fact until later. Granted Galileo's theories were proven true, but there were even some parts to his theory that weren't totally solid, like that the earth circulated the sun in a perfect circle rather than an oval.
And even that's not even quite the point. I'm trying to explain the full story, where the Church did go wrong, and how much of what people think of the story are just egregious myths. This isn't some sort of pro-Catholic propaganda, it's just the facts, ma'am.
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