On Friday, 5 November 2021 at 14:08:48 UTC+8, Juha Nieminen wrote:
Firstly, I am not obliged and interested to make everyone understand.
Actually, I don't care. The outcome is yours.
> wij <
wyn...@gmail.com> wrote:
> >> > To the most interested, I guess, would be:
> >> > 1. lim(x->???) 1/x=0 is illogical as a foundation of a 'logical' theory.
> >>
> >> And what would be more "logical" in your opinion?
> >
> > Simply "logical", the one we use every day.
> >
> > Several national institute level mathematicians know this, more had tried
> > not to use limit. I guess 50% professors knows this, but could not say.
> That answer makes literally no sense. And doesn't answer my question at all.
This is a most objective evidence I can provide. At least a couple of books
(in Chinese) from national institute level mathematicians (I don't know how to
translate that institute or name to English. But, I believe the contents is
international) are published for quite some years.
"Logic" can be very long, up to a couple of books to explain. Not as many
students think and believe what they practically understand.
So, what is exactly the question?
> >> > 2. Euler's identity is very questionable.
> >> Care to give a counter-example?
> >
> > Definition: e???(1+1/???)^??? ... or use limit notation if you like
> > Then, raise e to the power of x
> > e^x= (1+1/???)^(???*x) ... Is'nt this form more correct?
> >
> > Does the equation e^x=(1+x/???)^??? make sense as the 'definition' of
> > "raise e to the power of x"?
> That's not a counter-example. It's simply another way of defining e.
Your logical sense is very weak. Several entrance questions I asked recently.
Try solve/explain the following for everybody to show you are qualified.
Let B≡ ∑(n=1,∞) 9/10^n
Question: What is the digit three digits after the decimal point?
Assume B=0.999... = 999.../10^n =(111...*3*3)/(5*2)^n =1
Explain (111...*3*3)=(5*2)^n
Can you draw a line bisects a unit circle? If you can, let say
A,B two chunks. Use your fossilized brain explain to everyone which parts
all the points of the cutting line belong to (A or B or ...).