Re: curious: +, /, ^

<lwalke3@xxxxxxxxx>
answered the question by Paul Hjelmstad.
Is there nobody who will answer the question nof mine?
I see tetration etc. rather boring to me curiosities without practical
relevance.
Admittedly, I am making mistakes. In particular I wrote Stiefel when I meant
Michael Stifel (1487-1567). Maybe, my question is so stupid that almost
every mathematician could answer it. However, I guess, it relates to rather
fundamental relationships. Why not considering the idea that division is not
necessarily based on multiplication but merely on the number one?
In ancient times, the two was regarded the first number that resulted from
addition. Why not regarding 1/2 as the first number that results from
division?
Why not even interprete 2 as the inverse?

Once again my question?
Is there any literature or any idea that explains how the most basic
mathematical operations and their inversions relate to each other.

The reason for me, an old engineer, to ask such question is curiosity. I
found out that there is much premature use of negative and complex numbers
in applications without negative or complex meaning.

I found a joke: Mathematics is if three out of two persons left a room and
then one person has to come in in order to make the room empty.

I feel mistaken as being stupid if I am asking for IR+. That's why I tried
to separate IR into IR+ and IR- and stumbled about an allegedly remaining
very nil. I was told, IR and IR+ have the same cardinality.
Having got a lot of arbitrary mutually contradicting answers, I am convinced
having found compelling answers to several old enigma myself outside the
common tenets but in agreement with common sense.
Should I possibly reinvent the bicycle, or is there a well known explanation
why we may calculate as follows?
c=log(a)+log(b)=log(a*b) a, b, always positive; d positive or negative
d=exp(a+b)=exp(a)*exp(b) d always positive; a, b positive or negative

In the end I arrived at

Salviati:
.... in ultima conclusione, gli attributi di eguale
maggiore e minore non aver luogo ne gl'infiniti,
ma solo nelle quantità terminate.
IR >|> IR+ =|= IR






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