>>18664021Numbers are abstractions of tangible things, numbers like 4 or 6.7 or 1/3 can easily be represented in the real world. Even something so abstract as the mandlebrot formula must have some basis in reality due to the fact that you can use it to render a visual representation in the real world.
What is not real is infinity, it is a concept which is can not be proven. It's just an idea. Infinity is necessary in the real number framework for number which expand without limit, almost anyone can understand logically what this means. However it is somewhat shoehorned into defining limits such as 0.999... in a base 10 system. In more practical terms 0.999... + an infinitesimal = 1, however this is somewhat redundant because when using an infinite decimal to define a limit there must always be an infinitesimal remainder. Hence it is easier simply to ignore it.
From this we must conclude that in literal and logical terms, the argument that 0.999... != 1 is more correct than 0.999 = 1. People have simply defined a framework where the pointless inclusion of the infinitesimal required to make it technically correct is ignored.
