RE: New thread: Mathematical truth

From: Joel Z Bandstra (bandstra@ese.ogi.edu)
Date: Tue Sep 04 2001 - 15:32:47 EDT

  • Next message: george murphy: "Re: New thread: Mathematical truth (Was a sin-off of Re: How Einstein and Hammond proved God exists)"

    Howard makes an analogy between mathematics and language. I think this is
    a very good one, especially in considering the role of mathematics in
    science. Think of some of the ways in which we use mathematics: In science
    we use mathematics to describe and categorize observations made in nature
    and in the lab; In engineering we use mathematics to design, and
    communicate the design of, an object for a specified purpose; One could
    even think of the pure mathematician as a sort of poet or composer, using
    existing mathematics to express new ideas and to invent new mathematics,
    subject only to his knowledge, creativity, and, of course, his funding
    source. The circle, for example, is an idea. To be sure, it is one
    suggested by nature and it is certainly a creation of our triune God but it
    is so in much the same way that Latin is suggested by nature and a creation
    of our triune God.

    -----Original Message-----
    From: psiigii [SMTP:psiigii@home.com]
    Sent: Tuesday, September 04, 2001 12:04 AM
    To: James W Stark; ASA
    Subject: Re: New thread: Mathematical truth

     << File: ATT00000.att >> Re: How Einstein and Hammond proved God
    existsJames,

    I apologize for not replying sooner. I wrote much of the following 2 days
    ago, intending to finish
    my response before fully replying.
    I fully hold accept that God created all there is. Heb. 11:3 states, "By
    faith we understand that
    the worlds were framed by the word of God, so that the things which are
    seen were not made of
    things which are visible." Young's Literal Translation reads, "by faith we
    understand the ages to
    have been prepared by a saying of God, in regard to the things seen not
    having come out of things
    appearing;".

    Re energy-matter (E=mc^2), The inherent properties of energy and matter
    (creation), and how
    energy and matter act and interact--the essence and operation of
    creation--are aspects of that
    creation, separate and apart from God, functioning as He designed them to
    work.

    Did God create the language we use to describe creation and how we
    understand it operates?
    It depends upon how literally one takes Genesis 1. If I'm YEC, then God
    created the language
    Adam & Eve spoke so He could speak to them. If, however, as most on this
    list would assent to,
    Genesis 1 is not literal history (168 hours... period), then where did
    languages--including
    mathematics--come from?

    I believe that in God's creation of man, He imparted to man the capability
    to develop means of
    interpersonal communication for all purposes, including the description of
    His creation. While
    some may point to apparent vestiges of mathematical precision in the
    accounts preserved in the
    Bible as supplemental evidences of God's "authorship" many question this
    line of "evidence."
    Others point to the mathematical precision of creation (which I do not
    question). Must we
    therefore-- for either or both reasons-- put God in the box "He
    thinks/speaks mathematically"?
    Reflecting back to Heb. 11:3 in NKJV/KJV/YLT "framed" (Gk. katartisthai -
    "to make thoroughly
    fit", if I have correctly, NOT being a Gk scholar), doesn't necessitate
    that God, as an engineer,
    mathematician or physicist, "wrote all the equations down" and reviewing
    His "designs" before
    He created the heavens and the earth (still formless and void) and said,
    "Let there be light".

    There ARE principles governing the operation of creation, and these are
    inherent characteristics
    of creation. When we speak of creation, we necessarily confine ourselves
    to space-time. God,
    however exists apart from space-time though He freely interacts and
    operates within space-time.
    He has enabled us to ascertain operational principles of space-time. Our
    understanding is limited,
    however.

    If I wanted to draw VERY NEAT circles. I need only use a tack, a piece of
    string and a pencil. If
    by using many very simple tools I design a new machine that operates in a
    very precise manner,
    must I have necessarily used mathematical formalisms in the process? It
    certainly might be easier
    if I used mathematical constructs. But is it really necessary? I think
    not, and that Neil Gerschenfeld
    (@MIT, Things That Think constortium) enables elementary school children to
    how to design some
    very complex electronic/computer devices and then THEY BY THEMSELVES BUILD
    THE DEVICES
    in a 6-8 week period each summer hints that mathematical/engineering
    formalism might actually
    hinder us. Gerschenfeld has much to say on these ideas and what the future
    may hold in electronics
    and computational sciences.

    If complex devices can be made by people without mathematics, why must God
    have (1) created
    mathematics and/or (2) used mathematics to create the universe? If I truly
    believe "As the heavens
    are higher than the earth, so are My ways higher than your ways and my
    thoughts than your thoughts"
    (Isa. 55:9), why should I put God into the box of (1) creating and/or using
    mathematics to create the
    universe or of (2) not giving man sufficient capacity to develop a language
    in which he (man) could
    describe God's creation?

    While I do observe mathematical precision in creation, I see no support for
    mathematics being a
    "necessity" for creation. Nor do I see evidence of God's direct "creation
    of mathematics". That we
    can use this language--though still very sloppily and inconcisely is
    evidence that God created man with
    an amazing capacity (though limited IAW Isa. 55:9, however) to theorize and
    advance his understanding
    of creation.

    By similar reasoning, I would assert that, physics isn't creation nor is it
    necessary for creation. Physics
    is a tool man uses to study and describe creation, with mathematics being
    the powerful language used in
    that description. Both mathematics and physics are human creations and
    endeavors, however--and are
    among the amazing capabilities imparted to us by God.

    BTW, though I haven't read the book recommended by Lucy, I fully agree with
    her post.

    Finally, picking up from your last post, I agree there are rules God
    established for the operation of creation.
    Re my discussion above, I do not find necessary at all for God to have used
    "physics" or "mathematics"
    to develop those laws. Mathematics and physics are what we use to
    understand creation.

    Howard
    ----- Original Message -----
      From: James W Stark
      To: asa
      Sent: Friday, August 31, 2001 7:22 PM
      Subject: Re: How Einstein and Hammond proved God exists

      on 8/31/01 3:21 AM, psiigii at psiigii@home.com wrote:

    >Thank you, James! God did not create mathematics, nor did He create
    physics.

        OK! Why not?
        In my worldview reality consists of a physical universe (matter), a
    mental world, (our awareness of the laws of mathematics as well as any
    subject matter.), and the spiritual realm (known to us through our
    consciousness.)

        Humans only use mathematics and physics. Who or what created the laws
    used in them, if it was not God?

    >God created matter.

        Or should we say energy rather than matter? Einstein's discovery of E
    = mc2 can be interpreted to imply how much energy is required to give the
    appearance of a certain amount of mass, which suggests that matter is an
    illusion. Did God create matter an illusion? Eastern religions start
    creation with illusion, while Christianity starts with truth.

        How do you feel about mathematics not always estimating truth?

        James Stark

    > "Physics" is just man's feeble attempt to grasp the true
        essence of the matter God created. Mathematics is just the language
    man uses
        in these attempts. As man's insights into the true nature of "material
    world" grows,
        the mathematical "language" we employ to conceptualize/formalize our
    insights--
        which, BTW, may still not be the true essence--has evolved to this end.
     In the
        end, however, physics is still man's attempt to understand, and
    mathematics is
        still just man's language to verbalize our understanding (again, not
    necessarily
        being the truth). Both are man's creations, not God's.

        Howard Meyer

        (BTW, George, I read your response to James before writing this...)
        ----- Original Message -----
        From: "James W Stark" <stark2301@voyager.net>
        To: "asa" <asa@calvin.edu>
        Sent: Thursday, August 30, 2001 7:04 AM
        Subject: Re: How Einstein and Hammond proved God exists

    > on 8/30/01 9:07 AM, George Hammond at ghammond@mediaone.net wrote:
    >
    > > < large snip>
    >
    > > If then, "Man is made in the image of God", Riemannian
    > > geometry must be the description of God.. or more specifically,
    > > Einstein's theory is. See:
    > >
    > > http://people.ne.mediaone.net/ghammond/Rie-Helm-Weyl.html
    >
    > Quoting from this site:
    > _Now, beyond all this, what we see is that the "geometric properties
    > of space itself" are the CAUSAL FORCE that determines the geometrical
    > shape of the human body. Because of this, it turns out that the
    > "geometrical shape of the brain" is also determined and is found to
    > be "3-axis Cartesian" in SHAPE (notice I said SHAPE, not volume).
    > The Brain actually has Axes of mechanical symmetry, just like
    > the Body:_
    >
    > Why do you confine your concept of God to mathematics. Mathematics
    can only
    > estimate what might be fixed laws. It cannot guarantee truth.
     Physicists
    > are now suggesting that matter is an illusion.
    >
    > As a reference see: <http://www.calphysics.org/pop_articles.html>
    >
    > See the article Beyond E=mc2 for how we can reason this way. I quote:
    >
    > _It is actually a statement about how much energy is required to give
    the
    > appearance of a certain amount of mass, rather than about the
    conversion of
    > one fundamental thing, energy, into another fundamental thing, mass._
    >
    > [B. Haisch, A. Rueda & H.E. Puthoff, The Sciences, Vol. 34, No. 6,
    November
    > / December, pp. 26-31 (1994).]
    >
    > Mathematics cannot explain the truth of a non-deterministic free
    will.
    >
    > God used God's free will to create mathematics. The Christian God
    embraces
    > the truth of non-deterministic free will. Your association of God to
    a
    > mathematical proof cannot establish truth.
    >
    > James Stark
    >
    >



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