Out of Pod Experience

I get it just fine, except it never gets to zero does it? That is the point. "Never" is a very important word, because infinity is a very long time, obviously,





The value continues to increase in decimal places, above the value of 3.1, into infinity. This does not necessarily mean that it becomes infinity large, but it can be said that it can become infinitely larger then 3.1. You have to look at it through relativistic terms.


Maybe I am just thinking on a level that is beyond you.
I can accept that


It has been that way so far with everything else... star trek included. So why not relative mathematical concepts?

Congratulations on missing the entire concept of a limit. For someone who brags about their knowledge of physics you sure don't do very well at Calculus 101.



Ok, fine, you're right. You have made an amazing discovery that has eluded the best mathematicians for centuries, Pi is both infinitely small and infinitely large, and the diameter of a circle is larger than the circumference. You should immediately submit this to every peer-reviewed journal and claim your well-deserved fame and fortune.

Or you could just do the gene pool a favor and go play in traffic...

I did not say I discovered this, nor did I say no one else knew it. It was a question I possessed because it seems to be true, and yet everyone who hears this gives an instant twitch response saying that it is untrue.

If 3.1 > 3
And if 3 can be followed by infinite decimal points without end

Then, in theory, you can create a value that is infinitely larger then 3.1 but paradoxically smaller then 3.2. This statement cannot be proven untrue.

And maybe you should do some reading on general relativity. An object can be traveling at near the speed of light and still appear to be stationary to the observer. in this instance, the value of 3.1 is the assumed observer, and the value of pi climbs beyond that value in an infinite sequence. That value is larger without end, and yet smaller then 3.2.

Starting from 0 you can create an infinite value in between 0 and 1. Each number represents an ever smaller unit of (lets say) distance. Obviously since we never get to 1, the distance never resembles infinity from the outside observer. As each value becomes smaller and smaller, the increase in distance becomes more and more insignificant. Again, the distance never reaches 1 (lets say we are talking in millimeters)

Even though the sequence never reaches 1 millimeter, the progression is still an unending sequence of value that never stops growing. The distance continues to increase forever, by smaller and smaller distances until they are completely unperceivabl and thus deemed irrelevant. Even though this minute distance is of no consequence to us, with each additional value right of the decimal point a new distance (no matter how small) is indeed added. This happens without end abd it continues on for infinity.


So you never reach number 1.
But at the same time you never stop building a value that is greater then 0.


You can do this into in infinity, and end up with a value that is less then 1 and yet is still incalculably larger then 0 because the value extends into infinity. It is not in truth infinitely large. But relative to 0, there are infinite steps separating 0 and 1 and so the value of 1 is actually unattainable if you use 0 as a starting point. You can build upon 0 for infinitely, and never reach 1 if you are dealing with small enough descending increments (like what is being expressed in the value of Pi)


So what do you call a value that starts at 0

That builds upon itself infinitely

But can never reach the value of 1...because there are infinite theoretical steps in between?

For those of you who understand how stupid the OP is, some advice: Give up now, it's like trying to explain the color Green to a man born blind.

Good thing all of us are explaining how you're wrong according to the laws of mathematics, not because of something in the physical universe.

I always thought Euler's identity was interesting

e^(iπ) + 1 = 0

because it shows that any quantitative relationship can be restated geometrically and vice versa, which means they are equivalent. You can also restate any relationship of two or more independent variables geometrically, since those variables can be treated as dimensions in some hypothetical space. This also implies there is some fundamental function to which our universe is the solution (we could never solve such an equation, but we could hypothetically derive it)

As far as infinite series go, many infinite sums do converge to a finite value, we spent a lot of time covering such series in Calculus II a couple semesters back.

As a simple example, take the sum of the powers of 1/3

S = (1/3) + (1/3)^2 + (1/3)^3 + (1/3)^4 + ...

Multiply through by 1/3

(1/3)S = (1/3)^2 + (1/3)^3 + (1/3)^4 + ...

Subtract the second series from the first

(2/3)S = (1/3)

And multiply by (3/2)

S = (1/2)

So the sum of all positive powers of 1/3 is 1/2. We don't need to be able to calculate every term because every term except the first cancels out in this derivation.

Not in base 10.

Dude, seriously. The answer really is Limits. You aren't to first person to think about such things, and it's a question that has been answered.