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Re: The Second Coming of Q

Wow! I wonder where human civilisation would end up if it recapitulated
an entire Heyting lattice.

Peter Wilkinson
pwilkin…@cix.compulink.co.uk

Comments (2)




2 Responses to “Re: The Second Coming of Q”

  1. admin says:

    The Second Coming of Q

    (C) Copyright 1995 by Joseph Kerrick

        All of Western culture is based on Aristotelean logic, which holds
    that:

        A is A;  A is not non-A.

        However, by adding two further possibilites:

        both A and non-A; neither A nor non-A,

    we create a form of thought that can revolutionize this civilization —
    and just in time, since it’s ready to go down the apocalyptic tubes at any
    moment.  

        The flaw in Aristotle’s postulate is revealed by its title: "the law
    of the excluded middle".  It makes the distinction between ‘A’ and ‘non-A’
    totally absolute, without even space for a scale of gradation between
    them.  If ‘non-A’ is ‘B’, this may seem eminently plausible; but if it’s
    ‘C’, then it becomes apparent that something is missing, and even more so
    if ‘non-A’ is ‘Z’.  

           And now we get down to hard reality.  Though in the first blush of
    common sense it may seem apparent that an object is simply itself and not
    something else, or that two objects are themselves and not each other, in
    the complexities of actual existence this is not always the case ~ or at
    least not in the absolute, black-and-white terms demanded by the
    postulate.  For indeed, the blackest black in real life contains some
    white, and vice versa.  Even the dead "void" of deep space contains a wild
    atom or two per cubic meter.  Nothing is ever really completely ‘A’
    without a little ‘B’, ‘C’, ‘D’, or ‘Z’ mixed in — i.e., non-A.  The
    "middle" (viz., the quantum of otherness) arbitrarily excluded by
    Aristotle’s law is substantial indeed — yet the whole of Western
    mathematics and science is founded upon the fantasy that it does not
    exist.

        The idea of a QUATERNARY instead of a BINARY system of reasoning is
    not a new idea; in fact, it originated in the dim mists of prehistory, in
    what is called the Aryovedic culture.  It became the foundation for the
    most advanced culture of its time, that of Hindu India.  The  eclipse of
    quaternary thought later occasioned the fall of this civilization.    

        Let us now lay out the four points of thought in a mathematical form,
    changing the ‘A’ to an ‘X’:

    Point 1:  X.
    Point 2:  not-X.
    Point 3:  both (X and not-X).
    Point 4:  not (both (X and not-X)).

         Western civilization came to a collective discovery of Point 3 at the
    time of the Renaissance, and began to implement it culturally even though
    it did not yet understand it intellectually and scientifically — and
    still doesn’t.  To understand what this means, it’s first necessary to
    explain the operation of Points 1 and 2.  

         The first two points of thought are the basic dualism with which
    primitive humanity confronts the world.  It’s the final binary fulcrum of
    all existence: life or death, friend or foe, help or hurt, fight or
    flight, good or evil, eat or be eaten, to be or not to be.  Point 1 is
    ‘X’: us, the absolute positive entity, the _ne plus ultra_, the only group
    of souls that would exist, if things were as they should be.  Anybody else
    is Point 2: ‘not-X’; i.e., THEM, the enemy, the negation of our very
    being. They must be killed, annihilated — it’s the right thing to do.
    The enemy can be dispatched with absolute moral certainty and unity of
    will.  There is tremendous power in this primal law, for it is the
    mechanism of survival for all living things, including humanity — up to a
    certain point in humanity’s development.

         That point is the moment when a human society reaches the stage at
    which it engages a higher dyad: the more complex dynamic of Points 3 and
    4.  This is the moment when the society transcends the merely primitive.
    It begins to develop a culture able to apprehend the world in more
    sophisticated terms than either-or.  The kicker is that this causes the
    society to lose its primitive  self-certainty, its consensus
    of belief, its unity of spirit — for all these things are rooted in the
    primal dynamic of binary thought.  This accounts for the phenomenon, noted
    by Oswald Spengler, that at the very moment when a culture truly begins to
    flower, it has already begun to decay.  

         Interesting things happen in a society when it develops Point 3.  The
    leading lights of the culture make the stunning realization that the
    peoples of other countries and other societies are not truly alien but are
    rather human beings like themselves.  And even should the foreigners make
    war on the subject culture, the Point 3 mind is able to see them not as
    devils from hell but simply as opponents.  The enlightened ones will be
    able to entertain the heretical notion of "both (X and not-X)".  That is,
    they will be able to conceive of both themselves and the enemy in a single
    inclusive category, which is usually referred to as "human".  

         And indeed, if the culture survives beyond the first blush of Point
    3, it develops a very historically specific mode of thought which in our
    own society has been labelled "liberal humanism".  Beginning with the
    Renaissance, people on the cutting edge invariably adopted this
    perspective, and it evolved to become the dominant purview of our
    now-global society.  In its youthful hubris, this new collective awareness
    egotistically assumed that it was a fresh evolutionary stage in human
    development, and that it had never existed before; but as the culture
    developed further, its own discoveries forced it into the painful
    awareness that it was but another repetition in the endless cycle of
    recurrence.  Spengler in particular, in _The Decline of the West_, showed
    that every high culture in recorded history had developed its own
    variation of liberal humanism at the appropriate stage.  And, if we may
    redundantly remark, subsequently went down the tubes.  

         So liberal enlightenment, in any or all of its guises, is not the
    solution to the planetary malaise, but can fairly be charged with being
    the cause of it.  But if at the same time it is a true awakening to a
    higher mode of thought, how is it that we are hoist on this ironic petard?
     Is existence after all a tragedy, and we but foredoomed pawns in a game
    played by sadistic Fates and Furies?  It has seemed that way to every
    civilization and mega-culture that has preceded us on this planet, for
    every one of them succumbed to the fatal dynamic, in which God — or the
    Devil — seemed to be playing with loaded dice.  Is there no solution,
    then, no way out of the predestined doom?

         There is, but it’s very tricky.  Or rather, it’s so painfully obvious
    that all of our predecessor cultures have overlooked it.  The solution to
    the conundrum, the means of our planetary and species salvation, the final
    answer to the riddle of the cosmic Sphinx, is Point 4.

         "Not (both (X and not-X))."  In the context of a global civilization
    on the verge of collective self-genocide, what in the name of God does
    this mean?  Here is a formula.  What is its significance?  

         The first crucial piece of information about Point 4 is that Point 3
    can neither function nor exist without it.  Points 3 and 4 are a mutually
    self-creating dyad, just as are Points 1 and 2.  You can’t have ’1′
    without ’2′ nor ’3′ without ’4′,  just as you can’t have light without
    dark, up without down, or good without evil. . . or a one-sided coin or a
    mirror without an image.  Every civilization in the history of the world
    has collapsed because it has attempted to implement Point 3 without Point
    4, which is impossible.  

         How and why does this happen?  Consider the mental state of a very
    young child, which has not yet awakened to the knowledge that it can’t
    have Point 1 without Point 2.  When things are good, they’re very, very
    good: there’s  Mommy,  and  warm  milk, and endlessly fascinating new
    discoveries.  When things are bad they’re horrid, but quickly forgotten —
    the baby does not yet have the mental continuity to compare the two states
    in any meaningful way.  Thus in the moments when it’s happy, the child
    "believes" that this Point 1 condition is all there is — certainly all
    that there ever should be, which is why it gets so angry whenever that
    perverse and inexplicable Point 2 shows up.  And indeed, children who fail
    to attain emotional maturity may never become fully reconciled to the
    necessity of negative experience, and grow up to be neurotics and even
    psychotics.

        This in fact is the condition of civilization in its "liberal
    humanist" phase.  It has grown up with a collective mental disability: it
    believes it can create a society in which all of the old primitive evils
    are eliminated, a utopia that is totally good, meaning that everyone is
    happy there, or at least free to pursue happiness.  The whole body of law,
    the form of government itself, the beliefs and expectations of the
    citizens — indeed, the total thrust of the culture is fixed upon this
    false ideal.

         Where do we begin in our search for a true ideal?  Let’s start with
    that elite who first developed Point 3, being able to see their own people
    and the enemy as "both (X and not-X)".  Fortunately for this fledgling
    high culture, the common lot of its soldiery is still in binary thought;
    otherwise, it would quickly be overrun by its more primitive opponents
    before it had a chance to fairly explore the further ramifications of
    Point 3.  The few enlightened intellectuals and mystics will wisely stay
    behind the lines, for they will lack the raw primal force of Point 2,
    which is what gives primitive humans the power to marshal their total
    being and pit it ruthlessly against a deadly opponent.    

         Gradually, however, if the culture is successful and grows into a
    civilization or an empire, the Point 3 perspective (under whatever name)
    comes increasingly to dominate the life, thought, and action of the whole
    citizenry.  Of the multifarious aspects of Point 3, we are here using one
    as a characteristic example, viz. the loss of nerve for mortal combat, the
    waning of the will to war.  In our own culture in our own time, we were
    able to witness in stark and dramatic fashion what can fairly be

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  2. admin says:

    joseph…@aol.com (JosephQHQ) wrote:
    > {previous lines not included}

    > If they stand their ground and promulgate the dharma, they
    > will proliferate, and ultimately the ignorant and corrupt
    > elite will be replaced by a truly enlightened Elect, who can
    > guide the planet to its salvation.

    This last concluding sentence sounds like the law of the
    excluded middle.  What happend to:

    > both A and non-A; neither A nor non-A,

    that is:

    Both (ignorant and corrupt elite) and (truly enlightened Elect);
    neither (ignorant and corrupt elite) nor (truly enlighted Elect).

    Neil Nelson

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