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The Bible doesn't need your false-god, golden-calf, flat-earthism for veracity.
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The Bible has the Church, and flat-earthism has NOTHING.
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Actually Neil there's little debate amongst scholars of ancient literature that The Bible depicts a Flat and Stationary Earth, with a hard or "firm" dome, with relatively small celestial objects like The Stars and The Sun orbiting it in what Ancient Hebrews called, "The Firmament."
Furthermore, The Catholic Church has TRADITIONALLY held to a Literal Interpretation of The Scripture.
So, accepting The Globe Earth and a Heliocentric Universe/Solar System has forced The Church into a very awkward position and extremely weakened its credibility in all areas of Western Thought. I mean, if God can't tell The Church something so basic as your home is rocketing around a big massive Sun, but instead tells The Church that the Earth is stationary and unmoving, while also telling Us that we'd all better not miss church on Sundays and we'd better give lots of money to Priests, then this God, would rightly so, seem suspicious (like he was more interested in power and wealth, than in truth since he would appear to not have any truth, in other words, he would appear to have been made up by Old Men, trying to control other Men, Women and Children, with a fairy tale that not surprisingly gave those very same Old Men lots of wealth and power.
So yes Neil, The Church does need Flat Earth in its War on Modernism.