Re: Theos-World Re: Leon's " Pi as a fractional number?"
Mar 07, 2005 09:22 PM
by Mauri
leonmaurer@aol.com wrote:
M wrote: <<But how can that ratio be
infinite and
exact (at the end of a long row of
carry-outs) at the same time? Either
things are infinite, or they're not,
seems to me.
<<Nevertheless if the ratio wasn't
exact, then either the radius or the
circumference would be variable and the
mathematical circle (or the metaphysical
sphere) wouldn't exist as a measurable
entity of fixed size (even if infinite).
But then, we have to be able to
recognize the difference between
metaphysical thinking and material
thinking as well as understand the
difference between actual knowledge
(whether based on subjective or
objective evidence) and speculative
opinionating that leads us around in
circles. :-) >>
I tend to agree, in a sense, but would
add that I tend to see "actual
knowledge" (inasmuchas it's
karmic/mayavic) as having a kind of
speculative/opionative aspect to it (in
terms of "dependent arisings re initial
assumptions in contrast to Beness")
that, I feel, might be seen as leading
us humans around in circles
simultaneously with karmic/mayavic
"sense making" (with or without quotes
"re esoterics").
<<[Mathematics can have exact limits --
even to an infinite set of infinities
according to Cantor, Minkowsky,
Einstein, Bohm, et al. :-] >>>
M>But "can" and "do" are two different
things, eh ...
<<Sometimes. Although, that may depend
on individual choice based on either
reasonable or unreasonable logic or true
or false speculation. :-). >>
Maybe I should've tried to be more
specific about a "more esoteric" kind of
sense/context I had in mind for "do" and
"can"... As I tend to see it, the
"can's" and "do's" on this plane might
alternatively be interpreted as having
karmic/mayavic contraints by way of
initial assumptions, dependent arisings,
and so, as I tend to see it, "logic" and
"reasonable/unreasonable" on this plane
are something that, regardless of their
usefulness, have a way of chasing their
own tail or karma/maya (like my circular
speculations, eg). Mind you, I
qualified that speculation with that
word "usefulness," (should I emphasize
...), so ...
But, as for correct mathematics which is
pure in both reason and logic (in
contrast to the sometimes unreasonable
if not fallacious logic of speculative
wondering) "can" an "do" are synonymous.
Yes I agree that there are all sorts of
interpretive usefulnesses. Isn't that
why we have, eg, the Esoteric/Wisdom
Tradition and Theosophy, among other
things ... except that, as I tend to
see it, (just speculatively speaking, eh
...), there would appear to be some
students of Theosophy who appear to have
some interest in transcending even the
karma/maya of Theosophy and the
Esoteric/Wisdom Tradition ... In the
meanwhile, one might think ... whatever
... Anyway, good points, there, Leon, in
a sense. Kindly note that I didn't even
put any esotericy quotes on that "good."
So there (just when you might've thought
... ^:-/ ...). But sorry about the
circularity of my speculating.
<<That is why mathematics is considered
as, possibly, the only "exact" science.
Especially, since it can explain both
physical and metaphysical reality. >>
"Exactly." How about some esotericy
quotes for a change ...? Well, not that
some esotericy quotes might not get kind
of circular looking at some point,
maybe, but ... ^:-/ ...
<<Ref; Pi as a useful ratio that can be
(and is) applied invariably in both
areas of reasoned or intuitive thought
-- e.g., the perfectly spherical fields,
lines or forms surrounding any
"zero-point" on both the metaphysical
and the physical levels. Therefore,
that (Pi as an exact ratio) is the one
reality holding the entire universe
together and the one fundamental truth
that karma can't do without. (I thought
HPB already explained all this quite
thoroughly in the Secret Doctrine.:-)
Most assuredly, </:-)>
Leon... >>>>>>>>>>>>
"Most assuredly"... ? I thought HPB
said something about the SD being an
"exoteric version"... Yes I tend to
agree with you that there are various
usefulnesses/models in comparitive
terms, but/"but"... Seems to me that
there might be a kind of "alternative
scenario" (just speculatively
exoterizing here) where "most
assuredly's," per whatever angle on
realitites/truths, might sort of
"alternatively" be evaluated by way of
reading between their lines (per a kind
of gnostic/esoteric/experiential
approach in contrast to what might be
seen as a sort of comparatively more
exoteric/literal approach ...) ... "in a
sense," maybe, in some cases ... ^:-/ ...
Speculatively,
Mauri
PS Incidentally, regardless of how
things may seem (dire enough, I suppose,
in some sense, among other things ...),
but would you believe (speculatively or
otherwise) that I have quite often been
trying to keep at least one foot on some
sort of ground that I have been trying
to detect kind of "more assuredly"
(maybe even "most assuredly" in some
comparative sense ...) before having had
a chance to speculate about it too much.
On the other hand, or same hand,
inasmuchas we all have our own ways of
defining "ground," (per whatever
"assuring" variant) ... ^:-/ ...
[Back to Top]
Theosophy World:
Dedicated to the Theosophical Philosophy and its Practical Application