We do not necessarily have to see the terms "limited" amd "infinite"
as mutually exclusive. Fractals are a good example; the Mandelbrot set
is a good starting point(s!):
http://en.wikipedia.org/wiki/Mandelbrot_set

Francis


On 12 Feb., 17:27, RichardM <[email protected]> wrote:
> As Hamlet says, "I could be bounded in a nutshell/And count myself a
> king of infinite space."  Although we are limited by our physical
> nature and the intellectual tools available to us at any time, our
> ability to explore with the tools available to us is not limited, nor
> is our ability to forge new tools for more powerful explorations.
>
> On Feb 11, 7:01 pm, [email protected] wrote:
>
> > "i saw a leaf floating on the water. it travelled softly down the current,
> > stopping now and then, but continuing. the leaf floated until it was
> > swallowed by the water and then another leaf floated by"  it is finite
> > physically and infinite universal motion. i want to concentrate on that one
> > thought so that i don't get caught up worrying about the 'small stops'. it
> > takes a lot of my energy to stay focused. i wish it were easier.
>
> > On Wed, Feb 11, 2009 at 3:53 PM, Justintruth <[email protected]> wrote:
>
> > > One of the things I hear is that we are infinite in the sense that the
> > > universe is physically infinite. Whether it is infinite or finite and
> > > unbounded is a valid question but I think the infinity that
> > > Shakespeare is referring to is not infinite in that sense of the word.
> > > It's not infinite in the sense of "big without bound".
>
> > > The term infinite is a negation but it is a negation of boundaries.
> > > The "finis" in the second part of the word is roughly "boundaries".
> > > Infinite then becomes without boundaries with the usual meaning a
> > > special case. In mathematics the concept of infinity has been
> > > separated from the concept of "without boundary" and there are finite
> > > and unbounded sets. But here we are speaking in the traditional - pre-
> > > topological - sense.
>
> > > One then learns that the process of establishing boundaries is
> > > critical in the experience of experience as a space in which there are
> > > things. In fact "raising the object from the background" requires that
> > > we establish that part of experience that "is" or at least "is
> > > something" from that which "is nothing". The boundary is that surface
> > > where being ends and nothing begins (or at least another being). That
> > > which is not is space - a complete vacuum. This occurs when one
> > > interjects nothingness into ones experience. This is why the vacuum is
> > > - exactly - nothing. Even though modern physics has moved beyond these
> > > concepts superficially it still maintains them albeit in modified
> > > form. After all when we proclaim the presence of the so-called vacuum
> > > energy we are distinguishing it from a "true" vacuum in the pre-
> > > quantum sense.
>
> > > The cessation of that interpretation, and the transcendence beyond
> > > space (and time) found fleetingly in mystical experience is the
> > > foundation of our immortality, our infinity, and our likeness to god.
> > > When space and time cease one experiences the truth that the universe
> > > is not distinct from us and in fact, in a sense we include it in us as
> > > much as it includes us in it, and one experiences god.
>
> > > Kierkegaard's reference is particularly fascinating. His cataloging of
> > > the various modes of despair associated with the various possible
> > > relationships of infinity to the finite in us presumes a kind of
> > > identity that unifies the infinite and the finite in a sense. As the
> > > proverb says: "At first I saw a tree and it was a tree, then I saw a
> > > tree and it was the Tao, then I saw the tree and it was a tree."
> > > Ultimately, we are who we are with all of the finite limitations of
> > > our biology. We are a particular person with particular talents and
> > > capabilities. Yet we have this capacity to interpret our life in a
> > > sacred and not profane way. Kierkegaard's analysis of despair as sin,
> > > especially his analysis of what he calls demonic despair, the despair
> > > that is lucid and deliberate is most interesting. It would have been
> > > interesting to be a fly on the wall of Hitler's mind to see if his
> > > "banality" was superficial and to find out whether in fact he was not
> > > completely aware but so totally in despair that he deliberately caused
> > > such suffering. Perhaps it was not a coincidence that he choose the
> > > Jews as the object of his hatred. Perhaps, at root it was hatred of
> > > god. Perhaps he wanted to be chosen and felt he was not. His relative
> > > asceticism, as compared to the orgy of indulgence in some of his
> > > supporters, seems to indicate that his soul was aware at some level.
> > > Ultimately it is not for us to judge but it would be interesting to
> > > know. It would  have been equally interesting to be in Martin Luther
> > > King's mind when he went through his own motel-room Gethsemane. I
> > > wonder how he overcame his own despair and went on living the life he
> > > did when he could have just quit and had fun with the women around him
> > > instead of accepting the bullet.
>
> > > So I think this issue is at heart the issue of an interpretation of
> > > our experience and when the ratio of those who have been enlightened
> > > to those who have not becomes high enough (if it ever does) perhaps we
> > > will then be able to face the real questions and not waste time
> > > quibbling over fundamentalist interpretations.
>
> > > The real issue is not which fundamentalist interpretation is correct
> > > but whether the alternative to them is viable.
>
> > > n Feb 10, 6:33 am, Molly Brogan <[email protected]> wrote:
> > > > "Give me my robe, put on my crown; I have Immortal longings in me,"
> > > > Shakespeare instructs us.  But do we?  Is there a part of us that is
> > > > infinite, or is immortality just a longing?  There are at least parts
> > > > of our beings that are infinite, according to Shakespeare:  "What a
> > > > piece of work is a man, how noble in reason, how infinite in
> > > > faculties, in form and moving how express and admirable, in action how
> > > > like an angel, in apprehension how like a god."
>
> > > > Our infinite nature is not just fodder for the poets.  Einstein came
> > > > to the conclusion that "the infinite nature of man includes the
> > > > universe."  Kierkegaard explained our existence in this way: "Man is a
> > > > synthesis of the infinite and the finite, of the temporal and the
> > > > eternal, of freedom and necessity, in short a synthesis.  A synthesis
> > > > is a relation between two factors.  So regarded, man is not yet a
> > > > self."
>
> > > > What do YOU think?
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