Re: Extrapolate divisor & dividend from quotient?

In article
<2b85964e-f4be-4c4a-b288-4af80df9116f@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
julio@xxxxxxxxxxxxx wrote:

I'll take the chance for a couple of questions that where in my mind
anyway:

Can all irrational numbers be written down (at least in principle) as
infinite decimal expansions? (I might ask: can all numbers in R be
expressed or at least thought of as decimal periodic expansions with a
period that can be infinite? Is there anything in the domain of
"numbers" that escapes this definitions?)

For instance, Phi is an irrational number whose decimal expansion can
be easily expressed with a rule for a sequence, or otherwise as a
continuous fraction, or a nested radical, etc. Are all real numbers
like this?

Every real number has a decimal expression, and every dedcimal
expression represents a real number.

Not every real number can be expressed by a rule - there are
too many real numbers, and not enough rules.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.