It sounds like mysticism to me, lots of people think like that even these days, i know a couple myself.
But the earth being flat! - a round earth conspiracy would have costed trillions already, and what could possibly be the point of that?
The hundreds of thousands of pictures from orbit, the thousands of hours of video, countries space programmes and budgets, gps, satellite phones, satellite tv, satellite internet, the fact that you can see the satellites themselves cruising overhead at night, all the international airliners in on it too, the moon is obviously round, so are the planets also with phases and moons (oh yeah, you'd have to fake another 50 000 pictures at least from all the probes we've sent around the solar system.
Yeah 'nuff said
jungle