>concludes that these difficulties undermine the common assumption that real numbers underlie physical reality, strongly suggesting that physical reality may in

>concludes that these difficulties undermine the common assumption that real numbers underlie physical reality, strongly suggesting that physical reality may in fact be discrete, digital and computational. Well, it should precise from what population this "common assumption" is supposed to be taken of. Arguably, most humans that ever existed had basic integer arithmetical notions at best. What humans take for facts are not given but constructed on social interactions, even when protocolled around scientific methods relying on falsifiable models and sound metrics. The best that science can tell us is how much sound our model is in regard of available data and how much resources we need to produce and test an other one. Note that philosophy of Karl Popper is not itself falsifiable. > This statement describes a faith, not a scientific principle. Ultimately, principles lie on some mental faith or an other. There is no irrefutable evidences that solipsism is less sound than believing in an "outside world".