Re: A SIMPLE CHALLENGE that you great Mathematicians won't answer...

On Feb 12, 11:49 am, finite guy <adamle...@xxxxxxxxxxxx> wrote:

OK. Let's look at what you said...

You say that a "mathematical circle is invalid", whatever that means,
and you say I use it every day. Well, as far as I recall I don't use
circles every day, but even if I do then what? Are you saying actual,
"perfect", circles are impossible to build in our physical world? Ok,
I agree, so...??

If you agree with the physical world (which is quantised), why do you
use maths in an otherwise fashion?
Mathematics is basically supposed to model reality...

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Who told you that? Why do you think you can determine what mathematics
is supposed to model, if anything at all?

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If you cannot make a curve in the real physical world, then why do
you
say that 'space' curves??
I guess it you don't like reality...

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I'm very fond of reality, but I don't give a damn about it when doing
mathematics.

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You also say, in your rather impetuous and somewhat nonsensical (from
a mathematical point of view) message, that "no number is closer to
infinity than any other"...aha, so what? Who ever, in the mathematical
world, claim such a thing?
What do YOU think that  "being close-being far from infinity" could
possibly mean in mathematics?? I've no the slightest idea.

My apologies for my failings.
Let's set a mirror.

Why do 'mathematicians' babble about "trans-finite" if it is not as I
expressed it?
It is a quasi-religious doctrine that real numbers are infinite in
quantity...

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There's a part of mathematics that talks about transfinite stuff, like
transfinite induction, transfinite ordinals, etc. It is pretty well
defined, it has some rules which anyone trying to play with it has to
abide by, and it makes some us pretty happy to talk about it and play
with it.
What is it to you?

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What we mathematicians do sometimes is, for example in limits of
sequences, do some calculations involving the notion of  n --> oo ,
which means (now comes a definition. Very important in mathematics.
You should try it) that for any real number R there's only a finite
number of natural numbers s.t. n < R, or what is the same: for every
real number R, all but a finite number of natural numbers fulfill n >
R).
Could it be that this sounds to you the same as claiming that some
number is "closer to infinity" than another one??

Ah, you mention only one side of your coin...
How many times a day do you do functions defined as functions of
approaching infnity?
Approaching infinity (calculus and curves) is setting no limit at
all...

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Uh??

First: I don't usually "do" functions. I'm pretty happily married and
for a rather considerable ammount of time, so far.

Second: as far as I am aware, there are no functions "defined as
functions approaching infinity"....this doesn't make any sense
mathematicalwise!

Third: if by "approaching infinity (calculus and curves) you meant the
different instances where limits are used, say to define derivatives
or Riemann integrals, then I really can't see why you think this is
the same as "setting no limits at all"...

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"For any real number" but you still express real numbers as being
infinite in quantity, do you not?

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No, I do not. Once again, if you meant whether the set of real numbers
is infinite BY DEFINITION, the answer's pretty simple: yes, that set
is infinite.

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You consider One to be infinite when you presume to "divide it to
zero" to make your curves...

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Once again: uh???

I don't divide by zero since I've been told, and I've repeated that to
many students, from HS level and up all the way to college, that upon
doing such a thing then world is going to end swallowed by a gigantic
snake.
Who told you, you rather confused, hopefully full-with-good-intentions
one that mathematicians have to divide by zero in order "to make our
curves", whatever that means?

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Who, again, thinks that "numbers are infinite", as you write? Who ever
convinced you, you poor stray one, that mathematicians believe in such
a thing?
And who ever told you that I do consider finite and infinite the same
thing? Why do you believe such a thing?

As I said, "dividing to zero" AND any mathematical definition that has
"as x approachs infinity" etc, is used by you every day,. True?
This is a reflection of ancient Greek philosophy, not mathematics...

Be honest to yourself as well as others.-

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I hope the last line was an unsolicited advise and not an order, and
thus I thank you for it.

I think you really should study some maths. There're LOTS of thing you
don't have much idea about, and you can be easy prey to preachers of
nonsense like some of our anticantorian resident cranks.

Regards
Tonio
.

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