Re: infinity

*** T. Winter wrote:
> As aleph_0 is (in the cardinal numbers) not divisible by any natural number,
> it could be considered prime. Whether it is odd or even depends on your
> definition. If you define a number even whenever it is divisible by 2,
> aleph_0 is odd.

I think this is taking it too far. The property of being prime, odd or
even is a property of natural numbers, not of cardinal numbers
(actually being prime is a property of a ring and the cardinal numbers
are NOT a ring, they're not even a set). It is like the question:
"What's the horsepower of your pencil?" or "What's the sound of the
blue color?" Don't let Tony drag you into this formalism masturbation
where properties and operations of natural/real numbers are applied to
strange objects to derive nonsensical results.

Jiri

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