Hmm, it wasn't religion so much as the Catholic Church, and the Catholic Church stymied far more than just scientific thinking. What was taking place with Galileo was a complexity of layers - more to do with thought than 'science' - or even religion imo - per se.Religion has stymied our "understanding" of the world, just ask Galileo. Science advanced our understanding.
"Men fear thought as they fear nothing else on earth - more than ruin - more even than death .... Thought is subversive and revolutionary, destructive and terrible, thought is merciless to privilege, established institutions, and comfortable habit. Thought looks into the pit of hell and is not afraid. Thought is great and swift and free, the light of the world, and the chief glory of man." ~ Bertrand Russell
Well, we'll see, won't we. The jury is still out on Galileo. Factor in the Doppler Effect and the universe is receding from us at such an alarming rate one might suspect we have bad breath or something. Moving away from where? from us, here, on planet earth - so are we the center of the universe? Might be.What utter nonsense. History says otherwise. Scientific fact trumps superstitous nonesense every time, when it come to "understanding" the world.
But of course I get your point. The ancient Romans - engineers of the first degree - were superstitious (and nervous as a consequence) in the extreme. No fun. Much prefer not superstitious. In fact, the paranormal is a particular block to science - and to spirituality, in general, too. It is a curious fact that most spiritual streams actually warn against dabbling in the 'paranormal' or the 'supernatural' - to use a colloquial term. The 'paranormal' usually exists below the glass ceiling and is the location of the trickster, which without adequate preparation can be a place of exceeding misdirection, a place of smoke-and-mirrors, not to mention psychological risk. Perception of the 'paranormal' in our time is usually considered 'atavistic' - from out a past when such abilities were common place (myths and legends are from out of that time***see note below). Acquisition of the 'higher clairvoyance' (in one stream named as imagination, inspiration and intuition - higher capacities) requires the lower capacities to literally be 'shut down' - they cannot co-exist.
*** Note: An interesting side story: in most folk tales around the world there is the story of the 'little people'. To take an example, in Scandinavia there are stories of the tomte, every house has one, a little being that is the resident good spirit of a house - able to be seen by the children and other good and worthy folk.
In a conversation with a scientist friend (who studies the weather - and as a side interest consciousness), we discussed his clairvoyance as a child and we got around to the point at which he entered science as a career. I asked him about the experience of 'shutting down' his atavistic clairvoyance and how that played out in his scientific studies. He said that with his atavistic clairvoyance he could 'see' (not meant physically), for example, the 'little person' - the tomte. But with his older clairvoyance shut down, as a scientist, he 'sees' the tomte as a 'force' - as energy. He no longer 'sees' it as an anthropomorphized being. He is now able to think conceptually and abstractly - different capacities from atavistic clairvoyance.