/sci/ - Science & Math

>>10135650
go away reals

√2=...
Proof (according to modern analysis):
√2=1.4142...
√2=1.414...
√2=1.41...
√2=1.4...
√2=1...
√2=...

I call this the “dot dot dot” law. It’s a very beautiful technique that simplifies all of mathematics. As is shown using so called “real numbers”, one can obviously use some algorithm to calculate digits of an “irrational number” and have it run for an infinite amount of time, obviously, however, some people have a hard time accepting this. That is fine, I still have something for both the folks who accept it and those who reject it, using the “dot dot dot” law (DDD law) we can come to the conclusion that say 1/2=... or 1+1=... Now you might say, “What! You can’t just write a bunch of dots! You have to calculate it!” But the reality is — as modern analysis has show us — that you can in fact write a “bunch of dots” because it is trivial to write the answer in its entirety, it is trivial to calculate 1+1 and in fact it is trivial to calculate anything at all.. We can simply imagine using a technique to calculate it without actually doing it. For now “...” will suffice.