Math Is Fun Forum

How are your teeth, Ricky?

juggling balls, interesting. But tennis balls will do. Rind-a skipping rope, nice joke, hehe!

Any new ideas, guys or gals?? I heard it could be used in a dish or something, to make shrimp taste fresh etc.

Acctually the gradient concept is derived from the slope of a line.

Okay, I've got it. Reals are your last shelter. I will refute all of these stuffs soon (including Cantor Set), in paper ( to save my effort in a way).

But now I insist:
As long as it's within the conventional rationals range (only integers, rationals, Cauchy limit defination), the logic problem of 0.999... does holds.

In a way you are right: I am not most mathematicians- I am special.

Oh my!!
I've watched sun rise only 3 or 4 times.

Luca-deltodesco, the real divergency lies in whether the space and time is continuous. If it fails to be so, infinitesimal or accuracy aquired by infinite digits(infiniteth digit) has no use and is apparently false.

Hey guys, where are you now?
It's supposed to be early morning in US

You got up at 6:30??

Compared to older models of integers, rationals, or finite digits, the one of infinite digits is really logically weak. If you truely want to use it mikau, you have to tolerate contradictions.

No, I say real infinity has no reason to exist, as most mathematicians agree (they actually avoid equating it in standard maths). In that way 0.999... can only have finite 9's.

However if you say something just happens without a reason like quantic physics. You would like to use 1/10^inf=0  when you need to say 0.999...=1 and 1/10^inf≠0 when 0.999...infinite structure need to be preserved- It can be 0 and non0 alternatively, undefinately, by chance, chaotically. Then I admit this kind of reasoning. But I keep the counter-case: non0 in 0.999...=1 case, 0 in structure occasion. This case has the same reason to exist, however. And then 0.999...=1 cannot be solid.

having refuted flexible infinity as well

"sure! But I think the contrary arguments are saying that its not equal to the limit, its just equal to itself. x_x"
Great, you have got there mikau!! That's the point!! Defining somewhere a series approaches as the series itself or some mixed other series is the whole trick of the defination of Reals. That's what I called the "approaching pretending to be being" problem long ago.

Where are you going to?
-I am walking on the road.

Okay, I think you two guys have an understanding problem and a memory problem.

Not refuted?

Post 513

I have clearly discussed the Only 3 ways to get a 0.999... with Infinite Digits.

So actually I have done defining the infinite amount implicitly.

On the term of infinity, my defination is always the same: The infinite amount is the amount larger than any amount that can be expressed as a clear number. This has been shown in my apple pile example-Ricky you should have known this if your memory is not that poor.

RRRRRRRRRRRRRRRRRRRRRRRR...R (400 R's)

Biology is of course hard. But it's hard to everyone so don't give up.

I got