### Re: Controversial concepts in mathematics

Posted:

**Wed Jan 20, 2021 3:54 pm**I had to read back to see where this discussion of \(\infty \) being an operator came from. I think I can see that it is just another language/communication problem where something has been shortened to the point of being confusing.

In this notation -

And in this notation -

Or -

And from something I recently read in order to make that more logically rational the notation became -

When those details were left out, the idea of what was meant by -

I just had this very same conversation with Certainly real concerning other word usage shortcuts that cause ambiguity and confusion.

So in maths, \(\infty\) is actually referring to "Highest Possible Number".

And in that summation notation \(\sum_{}^{}a_i\) it is referring to a "direction toward the highest possible number" - as the DESTINATION of the Summation Operation.

At no time is \(\infty\) meant as an operator - always a destination of "highest possible number" even though it is known there is no highest to be reached.

In this notation -

- \(\sum_{i=1}^{5}a_i\)

- \(\sum_{i=1}^{i=5}a_i\)

And in this notation -

- \(\sum_{i=1}^{\infty}a_i\)

- \(\sum_{i=1}^{i=\infty}a_i\)

Or -

- \(\sum_{i=1}^{i=Highest Possible Number}a_i\)

And from something I recently read in order to make that more logically rational the notation became -

- \(\sum_{i=1}^{i=>\infty}a_i\)

When those details were left out, the idea of what was meant by -

- \(\sum_{i=1}^{\infty}a_i\)

I just had this very same conversation with Certainly real concerning other word usage shortcuts that cause ambiguity and confusion.

So in maths, \(\infty\) is actually referring to "Highest Possible Number".

And in that summation notation \(\sum_{}^{}a_i\) it is referring to a "direction toward the highest possible number" - as the DESTINATION of the Summation Operation.

At no time is \(\infty\) meant as an operator - always a destination of "highest possible number" even though it is known there is no highest to be reached.