Re: #21t transcendental (pi) and (e) are like the i,j,k program Re: ATOM TOTALITY (Atom Universe) THEORY REPLACES BIG BANG THEORY IN PHYSICS

a_plutonium <a_plutonium@xxxxxxxxxxx> writes:

Jesse F. Hughes wrote:
a_plutonium <a_plutonium@xxxxxxxxxxx> writes:

My claim that transcendental numbers come in two types, either the
vector-transcendental or the scalar-transcendental. I claim only pi
and e are vector transcendentals and all other transcendental
numbers are scalar multiples of either pi or either e but not both.

Awesome.

Is pi + e transcendental? Is it a scalar multiple of pi or of e?

Much thanks. The scales have fallen, etc.


Well what is i + j or what is j + k or i + k? What I have done for
the transcendental is merely transfer the system for the imaginary
numbers of i, j, and k. The imaginary numbers are bifurcated into
two types. The vector imaginaries such as i and j and k and from
the vector-imaginaries you have all the rest of the imaginaries as
scalar imaginaries such as 2k or 1/3i.

[...]

So, what is ij or ik or (pi)(e)? What is i + j and what is (pi) +
(e)?

pi + e is the sum of two transcendental numbers, pi and e.

Now that I've answered your question, would you mind answering mine?
Is pi + e transcendental? If yes, then it must be (according to you)
a scalar multiple of pi or of e (but not both). So which is it?

As far as i + j is concerned, the question does not arise (assuming
that i and j are the quaternions). Not every quaternion is a scalar
multiple of i or j. Some are linear combinations of i and j, and
i + j is one of those (it is 1 * i + 1 * j).

Thanks again, but I was hoping for answers, not some Socratic
fizzle-fazzle.

--
"Georg Cantor, the mathematician, is not the cantor from the synagogue.
Cantor, the man, was a Christian and also basically a Jew, and he was
circumspect about his beliefs, which probably included faith in a
higher power." -- Ross Finlayson: Logician, theologian.
.