Re: Counting taxicabs...

Ted Schuerzinger <fedya@xxxxxxxxxxxx> writes:
On Tue, 11 Sep 2007 08:51:48 +0800, Patrick Hamlyn wrote:
On Tue, 11 Sep 2007 08:51:48 +0800, Patrick Hamlyn quoted Nis Jørgensen:


I would claim that most (but not all) numbers cannot be expressed in
decimal notation, and thus contain no digits at all.

I like this logic. A number has too many digits to write down, so it
has no digits. You could be a statistician with logic like that.
Hell, what am I saying, you could be a politician.

I figured Nis was talking about transcendental or irrational numbers,
which of course cannot be written in full in decimal notation, but only
approximated.

x^y, where x and y are both rational numbers, yields more irrational
numbers than the set of rational numbers. (Or, at least, it approaches
infinity more quickly than the set of rational numbers does, if you
understand what I mean.)

I don't understand what you mean.

Card({ x^y : x,y \in |Q }) = Card(|N)
Card({ x^y : x,y \in |Q and x^y \in |Q}) = Card(|N)
Sets don't approach infinity.

Phil
--
Dear aunt, let's set so double the killer delete select all.
-- Microsoft voice recognition live demonstration
.

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