DNA is digital, but life is made from its environment, not only from DNA. However, it does not answer the original question, anyways. I think Borel's number is

DNA is digital, but life is made from its environment, not only from DNA. However, it does not answer the original question, anyways. I think Borel's number is not very well defined, and the examples given there make that easy to see, because an infinite sequence will not reach all possible questions. However, that is not the only problem with Borel's number, anyways. The numbers, people, etc are not "existence" except by relation of other things (e.g. you can define additions/multiplications of numbers, greater/less/equal of numbers, and physical objects moving by the laws of physics according to the numbers, physical objects collide with other objects and interfere with them by gravity and other forces (i.e. they are not in isolation), etc). The relations between everything is "real", rather than the objects themself. Due to this, it can occur by many ways, and they are ultimately related to "you", too. Essentially, all existence must be by all relations of everything by everything. There is problem of what is "is" and what is "reality"; they are not so clearly defined. "Real numbers" can be explained by mathematics, but the meaning of the words in English (or other languages) is not really as precise as it can really be. (And then, even with mathematics, there will be "abuse of notation", etc.) But, anyways, absolute Truth is inexpressible, so, due to this, you cannot possibly explain everything. You only explain certain concepts, which are descriptions of some things, but whatever is explained, there will be everything else which is not explained and cannot be explained. A real number might be given a finite description, but it is not necessarily the case. However, sometimes by a part of it, you can figure out some of the other relations, but not all of them, e.g. if you have 100 digits then you can figure out if it is less or greater than another number with 100 different digits, but if they are the same then you will not figure out. But, that is only one way. It is not the only way to make a description, finite or infinite or otherwise, even if there will be one. Even so, that does not mean that such a description necessarily "is" such a "real number", anyways (especially since, as I mentioned above, absolute Truth is inexpressable). By mathematics, you can prove mathematical things, but you will not make the "set of every possible things mathematically"; rather, it will have to be specifically the theories which are being handled/proven, which are going to be done by mathematics.