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Topic: (infinity) A real story
Replies: 9   Last Post: Oct 16, 2013 9:08 PM

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Posts: 4,165
From: London
Registered: 2/8/08
Re: (infinity) A real story
Posted: Oct 12, 2013 2:39 PM
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<> wrote in message

> Above you see their widely known formulation of the natural numbers. They
> did not think about the problem of inclusion monotony, probably because
> they did not imagine the set in the form of my table.
> 1
> 1, 2
> 1, 2, 3
> ...

That is as as wrong as the other one to which I just have replied, in fact
equivalent. Note that the diagonal is in 1-to-1 correspondence with the
last line, in the finite as in the infinite: plain geometry.

> In mathematics actually infinite sets simply do not exist.

You are wrong, or at least have never managed to show otherwise.

> According to Cantor "set" does exclude potential infinity. Potential
> infinity exists only in analysis.

And I'd agree with that, although it literally means that N as standardly
intended is not in fact a set. Are we sure that that is what Cantor said?
You make me wonder...

>> I can't see how it can include potentially infinite sets,
> But actually infinite sets do not exist in mathematics at all.

You are wrong: in fact, arguably, they may be the only kind of infinite sets
that can be consistently conceived.

> If there was an aleph_0, then it must be either in one line of the matrix
> or in two or more lines. But it cannot be there.

And yet again we rather and immediately see that that is bollocks, just your
equivocation on the terms of a perfectly symmetrical construction.

> It is not a mathematical problem, but only a psychological one.

Psychology is good for lying.


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