Ducks have wings and can fly. Ostriches have wings and can’t fly. So it’s not the wings that make the ducks fly, it’s something else entirely.

You don’t know that houses can’t move. Absence of a proof does not imply impossibility.

Sounds ridiculous (esp. for windows / houses) but I think it actually shows where Occam’s Razor comes to the rescue: When deciding what to believe, you should consider how many assumptions either model of the world would have to include in order to explain your observations.

Turns you don’t need to look for indisputable mathematically rigorous proofs, you just need to find the best model.