We know of at least one uncomputable number - Chaitin's constant, the probability that any given Turing machine halts. Personally, I do wonder sometimes if rea

We know of at least one uncomputable number - Chaitin's constant, the probability that any given Turing machine halts. Personally, I do wonder sometimes if real-world physical processes can involve uncomputable numbers. Can an object be placed X units away from some point, where X is an uncomputable number? The implications would be really interesting, no matter whether the answer is yes or no.