On 30 Apr., 18:56, Dan <dan.ms.ch...@gmail.com> wrote: > > You did not write down any digits. Therefore your example fails > > > > A real number can be listed by a terminating decimal, by a periodic > > > > decimal, or by a formula supplying each of its decimals. > > I gave you a formula for each of the decimals of the anti-diagonal , > provided you would have given the formula for the list.
Yes, but the list can be given by a formula only. I did not exclude that. I said: A real number can be listed by a terminating decimal, by a periodic decimal, or by a formula supplying each of its decimals. It is not possible to list irrationals *by writing their decimals*.
> By your own > definition (the third case you mentioned, that is) , I succeed .
A formula is not writing the decimals.
> > Do you really want to go in the physics?
I am in physics. And you are in physics too. There is no way to avoid it.
> The most accepted cosmological model predicts the universe is > spatially infinite and roughly homogenous in large scales.
The realm we can ever use is finite. > > >If all places are occupied and you want to store something > >else you have to forget something former - without any traces. > > Erasing information without leaving traces in the environment would > decrease entropy , thus violating the second law of thermodynamics .