[AntonioLao]

The mathematical principle of infinite series is based on convergence. This convergence is connected to the order of the terms in the series. Depending on these orderings, the same convergent infinite series can become divergent (vice versa) by the drop of a hat or any rearrangement or realignment of its terms. http://mathworld.wolfram.com/Series.html

[mkirkpatrick]

Originally Posted by AntonioLao The mathematical principle of infinite series is based on convergence. This convergence is connected to the order of the terms in the series. Depending on these orderings, the same convergent infinite series can become divergent (vice versa) by the drop of a hat or any rearrangement or realignment of its terms. http://mathworld.wolfram.com/Series.html

The limit is surely you understanding,is it not?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick The limit is surely you understanding

Same as saying that nothing add up.

[mkirkpatrick]

Originally Posted by AntonioLao Same as saying that nothing add up.

Your not wrong there?Nothing adds up to less than more!


regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Nothing adds up to less than more!

the probability of disbelief is almost always greater than one.

[mkirkpatrick]

Originally Posted by AntonioLao the probability of disbelief is almost always greater than one.

If the sum was limited,would this reflect on the rule?




regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick If the sum was limited

If the sum was limited then it is considered as a perturbation or approximation. But if the limit exists for an infinite series then the sum is exactly finite and convergent. Most series are divergent to infinities requiring renormalization techniques.

[mkirkpatrick]

Originally Posted by AntonioLao If the sum was limited then it is considered as a perturbation or approximation. But if the limit exists for an infinite series then the sum is exactly finite and convergent. Most series are divergent to infinities requiring renormalization techniques.

Would that then apply here?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Would that then apply here?

Only by renormalization. see http://en.wikipedia.org/wiki/Renormalization

[mkirkpatrick]

Originally Posted by AntonioLao Only by renormalization. see http://en.wikipedia.org/wiki/Renormalization

I have often felt that I needed renormalization as a tool for balanced thinking.



regards michael.