Re: Orlow cardinality question

Ed van der Meulen said:
> I simply don't understand your answer Tony.
>
> We go furhter with the question you didn't answer. Now I will formulate it in this way. You've the natural numbers. All on one line. Never ending, for you can step further.
>
> Here we understand it. But then...
>
> You tell me we reach infinity in some way. I don't know how, But okay you have reached in finity.
>
> And now my question:
>
> Please put that line in the computer. How do you do that.
>
> And please answer me that clearly. We have only the natural numbers no more but with your infinity now. You told before about them. So here we stick to.
>
> And now the question how will you store all those numbers indeed reaching infity in a computer
>
> And when you can't give me a proper anser you are wrong.
>
> I know already you are wrong. For you can't do this. But try to answer this question. I haven't post it for nothing.
>
> Infinite many things putting in a limited computer in a limited time. That are you wanted to do.
>
> Please tell me how?
>
> You may sleep a further night about this question.
>
> ed
>
Hi Ed,

I cetainly don't claim one can do or have an infinite number of finite things
or events in a finite space or time. That would be crazy. It would be like
claiming you can have an infinite number of distinct whole numbers and 1-unit
intervals, and have them all fit within a finite interval on the number line. I
would never claim any such thing! It would be absurd!

However, if you want to understand infinity in computer terms, the answer is
very simple. Do you know 2's complement, the common signed binary numbers used
every day in computers? If you subtract 1 from 0, which is a string of all 0's
(as many bits as your register allows), one gets a string of all 1's? In a way,
that string of all 1's is like the infinite natural numbers I was talking about
before. It can theoretically go one forever. But in this case the value is -1.
All the negatives start with 1 and the positives start with 0, but 0 isn't
considered positive, so we have one more negative than positive, a 1 followed
by all 0's, 10000.... This number is supposed to be the largest negative number
representable in those bits, but is it really a negative? I hope to have a web
page soon where I can demonstrate that this value really represents oo, the
opposite side of the number circle from 0, where adding 1 to the largest
positive number yields the largest negative number. Indeed, as is true with 0,
oo is both positive and negative. And, the uncountable zone in the strings of
digits is not at the top, 9999....99999, or at the bottom, 000....0000, but in
the middle between them, around 5000...00000 and 4999...99999. The fuzzy zone
between the largest positive and largest negative numbers, oo (or 1000..), is
that uncountable barrier on the opposite end from the origin, which is the
boundary between the smallest potitive and smallest negative numbers.

Did that answer your question?


--
Smiles,

Tony
.

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