Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.



to contruct reals as infinite decimals, do you need axiom of choice
Posted:
Aug 18, 2013 3:33 AM


Hi friends of sci.math. I have a question:
To construct real numbers as infinite decimals, do we need axiom of choice? Say for example we are working in base B, then it seems we need to choose one of B natural numbers for an infinite number of positions at the same time.
For an arbitrary real number, I don't see how a "rule" to pick these digits can arise. It is random, so we must need axiom of choice, right?



