Does the infinite exist? And how to prove infinity? (Part I: Infinity in mathematics).

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Infinity in mathematics.

Is Pi the infinite number? (3,14...). Pi is a circle's circumference to its diameter. Proving that thing is impossible because proving infinity requires endless time.

And there is always the possibility that after billion years of calculations, there is an end to that decimal number. There are calculated a million numbers for Pi. That thing means that is Pi infinite or not is a mystery. But today, Pi is mentioned as infinite numbers.

Infinite in mathematics.

The infinite in mathematics is the endless number. The problem is how to prove that some number is infinite.

Proving infinite requires that the system uses infinite time for that thing. So proving endless requires endless time. And nothing can continue forever.

We don't know are the irrational decimal numbers like Pi (3,14...), really endless or infinite? There is the possibility that some quantum computer finds the end of that number.

Normally mathematicians are searching sequences that are continuing long enough. Those sequences are telling that there is the possibility that the decimal number is endless. Or the next calculation in the angle of division brings the end for that number.

The Pi is one of the decimal numbers that describe as endless. But there is the possibility that quantum computers will find the end to that number. The reason why I took Pi as the example is that Pi is the real value.

It's the circle's circumference to its diameter. And that means it's a so-called real number. Series like Riemann conjecture are endless if we want. But the a circle's circumference to its diameter is very accurately limited. The one simple calculation gives the value (3,14... ). And that number can continue forever if the quantum computers are not finding the end for that number.

https://bigthink.com/13-8/does-infinity-exist/

https://www.livescience.com/29197-what-is-pi.html

https://www.piday.org/million/

Comments

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