Uncommon Descent Serving The Intelligent Design Community

Mathematics and Theology

Share
Facebook
Twitter
LinkedIn
Flipboard
Print
Email

I thought you all might be interested in an article I wrote titled Mathematics and Theology: Seeing to Infinity. The basic purpose of the article is to show how the “limit” concept from mathematics can be incorporated into theological reasoning. The larger purpose is to get theologians thinking more deeply about mathematics as a tool in theological reasoning.

One of the disheartening things about modern theology is how disconnected it is from the rest of human knowledge. It doesn’t need to be disconnected — it’s just that there is a habit of thought that has developed over the past two centuries that separated out theology as “other” (perhaps as a euphemism for “fictitious”) and math and science as “real”. This case was strenuously made in Stephen J. Gould’s article on non-overlapping magisteria (abbreviated as NOMA) — saying that science and theology are both good, but they should never, ever talk.

I believe in the integration of knowledge, so I tend to take the idea that they are non-overlapping as intending that one of these is false. Certainly, domains of knowledge have their boundaries, but those boundaries do overlap.

NOMA has been surprisingly effective. I think one of the things that makes it effective is that theologians don’t want to learn other people’s subjects. Theologians, on the whole, don’t want to really learn science and math. The want to give it lip service, but not really engage. The few who do engage, tend to only engage in one direction – have theology learn from science. What we really need is a full, two-way engagement which has been missing since Darwin.

This NOMA view has negatively affected both science and theology. It has hurt theology by removing from it concrete connections with reality. It has hurt science by making any hypothesis which can touch theology be considered out-of-bounds, thus limiting the freedom of inquiry for the scientist. My hope is that more theologians will pursue an active, two-way engagement with science and mathematics. NOMA has hurt everyone, and we need to put it to rest.

Comments
N.T. Wright is among my favorite authors. Good stuff.Mung
October 1, 2012
October
10
Oct
1
01
2012
09:06 AM
9
09
06
AM
PDT
OT: Just ran across N.T. Wright today, and thought I'd post a link in case interested folks here might want to take a look. His arguments for the historicity of the resurrection are the best I've seen (video at link).
Did Jesus Really Rise From The Dead? Frontline Apologetics Posted on January 17, 2012 Lecture by N.T. Wright Dr. N. T. Wright speaks on the historical reliability of Jesus’ resurrection. ... “N.T. Wright is the former Bishop of Durham and was formerly Canon Theologian of Westminster Abbey and dean of Lichfield Cathedral. He taught New Testament studies for twenty years at Cambridge, McGill and Oxford Universities. Wright’s full-scale works The New Testament and the People of God, Jesus and the Victory of God, and The Resurrection of the Son of God are part of a projected six-volume series entitled Christian Origins and the Question of God. Among his many other published works are The Original Jesus, What Saint Paul Really Said and The Climax of the Covenant. He is also coauthor with Marcus Borg of The Meaning of Jesus: Two Visions and the volume on Colossians and Philemon in The Tyndale New Testament Commentary series.“
jstanley01
September 30, 2012
September
09
Sep
30
30
2012
07:39 PM
7
07
39
PM
PDT
Chaitin's 'wanting' and Richie's 'hoping', sounds like a pop-song of the sixties, Bornagain? I've just googled it. A song of Dusty Springfield, called, Wishing and Hoping'. 'Wishing and hoping and .... (don't laugh)... thinking and praying'!!! Either one would be more than acceptable in this particular parish, wouldn't it. At least as a start.Axel
September 29, 2012
September
09
Sep
29
29
2012
03:31 PM
3
03
31
PM
PDT
Thus every time we see (observe) a single photon of ‘material’ reality we are actually seeing just a single bit of information that was originally created from a very specific set of infinite information that was known by the consciousness that preceded material reality. i.e. information known only by the infinite Mind of omniscient God!
Job 38:19-20 “What is the way to the abode of light? And where does darkness reside? Can you take them to their places? Do you know the paths to their dwellings?” Single photons to soak up data: Excerpt: the orbital angular momentum of a photon can take on an infinite number of values. Since a photon can also exist in a superposition of these states, it could – in principle – be encoded with an infinite amount of information. http://physicsworld.com/cws/article/news/7201 “When I consider what marvelous things men have understood, what he has inquired into and contrived, I know only too clearly that the human mind is a work of God, and one of the most excellent.” Yet the potential of the human mind “… is separated from the Divine knowledge by an infinite interval.” (Poupard, Cardinal Paul. Galileo Galilei. Pittsburgh: Duquesne University Press, 1983, p. 101.)
It is important to note that the following experiment actually encoded information into a photon while it was in its infinite dimensional quantum wave state, thus destroying the notion, held by many, that the wave function was not 'physically real' but was merely 'abstract'. i.e. How can information possibly be encoded into something that is not physically real but merely abstract?
Ultra-Dense Optical Storage - on One Photon Excerpt: Researchers at the University of Rochester have made an optics breakthrough that allows them to encode an entire image's worth of data into a photon, slow the image down for storage, and then retrieve the image intact.,,, As a wave, it passed through all parts of the stencil at once,,, http://www.physorg.com/news88439430.html Information In Photon - Robert W. Boyd - slides from presentation http://www.quantumphotonics.uottawa.ca/assets/pdf/Boyd-Como-InPho.pdf Information in a Photon - Robert W. Boyd - 2010 Excerpt: By its conventional definition, a photon is one unit of excitation of a mode of the electromagnetic field. The modes of the electromagnetic field constitute a countably infinite set of basis functions, and in this sense the amount of information that can be impressed onto an individual photon is unlimited. http://www.pqeconference.com/pqe2011/abstractd/013.pdf
What would it take to impress a infinite amount of information onto the infinite dimensional quantum wave state?
The End Of Christianity - Finding a Good God in an Evil World - Pg.31 William Dembski PhD. Mathematics Excerpt: "In mathematics there are two ways to go to infinity. One is to grow large without measure. The other is to form a fraction in which the denominator goes to zero. The Cross is a path of humility in which the infinite God becomes finite and then contracts to zero, only to resurrect and thereby unite a finite humanity within a newfound infinity." http://www.designinference.com/documents/2009.05.end_of_xty.pdf
As to empirical proof,,, Kevin Moran, a scientist working on the mysterious '3D' nature of the Shroud image, states the 'supernatural' explanation of how the Shroud formed this way:
"It is not a continuum or spherical-front radiation that made the image, as visible or UV light. It is not the X-ray radiation that obeys the one over R squared law that we are so accustomed to in medicine. It is more unique. It is suggested that the image was formed when a high-energy particle struck the fiber and released radiation within the fiber at a speed greater that the local speed of light. Since the fiber acts as a light pipe, this energy moved out through the fiber until it encountered an optical discontinuity, then it slowed to the local speed of light and dispersed. The fact that the pixels don’t fluoresce suggests that the conversion to their now brittle dehydrated state occurred instantly and completely so no partial products remain to be activated by the ultraviolet light. This suggests a quantum event where a finite amount of energy transferred abruptly. The fact that there are images front and back suggests the radiating particles were released along the gravity vector. The radiation pressure may also help explain why the blood was "lifted cleanly" from the body as it transformed to a resurrected state." http://www.shroudstory.com/natural.htm
Verses and music:
Colossians 1:15-20 The Son is the image of the invisible God, the firstborn over all creation. For in him all things were created: things in heaven and on earth, visible and invisible, whether thrones or powers or rulers or authorities; all things have been created through him and for him. He is before all things, and in him all things hold together. And he is the head of the body, the church; he is the beginning and the firstborn from among the dead, so that in everything he might have the supremacy. For God was pleased to have all his fullness dwell in him, and through him to reconcile to himself all things, whether things on earth or things in heaven, by making peace through his blood, shed on the cross. Philippians 2: 5-11 Let this mind be in you, which was also in Christ Jesus: Who, being in the form of God, thought it not robbery to be equal with God: But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men: And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross. Wherefore God also hath highly exalted him, and given him a name which is above every name: That at the name of Jesus every knee should bow, of things in heaven, and things in earth, and things under the earth; And that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father. Empty (Empty Cross Empty Tomb) with Dan Haseltine Matt Hammitt (Music Inspired by The Story) http://www.godtube.com/watch/?v=F22MCCNU
Further notes:
The Center Of The Universe Is Life - General Relativity, Quantum Mechanics, Entropy and The Shroud Of Turin - video http://vimeo.com/34084462 Condensed notes on The Authenticity of the Shroud of Turin https://docs.google.com/document/d/15IGs-5nupAmTdE5V-_uPjz25ViXbQKi9-TyhnLpaC9U/edit
bornagain77
September 29, 2012
September
09
Sep
29
29
2012
03:28 AM
3
03
28
AM
PDT
Thus every time we see (observe) a single photon of ‘material’ reality we are actually seeing just a single bit of information that was originally created from a very specific set of infinite information that was known by the consciousness that preceded material reality. i.e. information known only by the infinite Mind of omniscient God!
Job 38:19-20 “What is the way to the abode of light? And where does darkness reside? Can you take them to their places? Do you know the paths to their dwellings?” Single photons to soak up data: Excerpt: the orbital angular momentum of a photon can take on an infinite number of values. Since a photon can also exist in a superposition of these states, it could – in principle – be encoded with an infinite amount of information. http://physicsworld.com/cws/article/news/7201 “When I consider what marvelous things men have understood, what he has inquired into and contrived, I know only too clearly that the human mind is a work of God, and one of the most excellent.” Yet the potential of the human mind “… is separated from the Divine knowledge by an infinite interval.” (Poupard, Cardinal Paul. Galileo Galilei. Pittsburgh: Duquesne University Press, 1983, p. 101.)
It is important to note that the following experiment actually encoded information into a photon while it was in its infinite dimensional quantum wave state, thus destroying the notion, held by many, that the wave function was not 'physically real' but was merely 'abstract'. i.e. How can information possibly be encoded into something that is not physically real but merely abstract?
Ultra-Dense Optical Storage - on One Photon Excerpt: Researchers at the University of Rochester have made an optics breakthrough that allows them to encode an entire image's worth of data into a photon, slow the image down for storage, and then retrieve the image intact.,,, As a wave, it passed through all parts of the stencil at once,,, http://www.physorg.com/news88439430.html Information In Photon - Robert W. Boyd - slides from presentation http://www.quantumphotonics.uottawa.ca/assets/pdf/Boyd-Como-InPho.pdf Information in a Photon - Robert W. Boyd - 2010 Excerpt: By its conventional definition, a photon is one unit of excitation of a mode of the electromagnetic field. The modes of the electromagnetic field constitute a countably infinite set of basis functions, and in this sense the amount of information that can be impressed onto an individual photon is unlimited. http://www.pqeconference.com/pqe2011/abstractd/013.pdf
What would it take to impress a infinite amount of information onto the infinite dimensional quantum wave state?
The End Of Christianity - Finding a Good God in an Evil World - Pg.31 William Dembski PhD. Mathematics Excerpt: "In mathematics there are two ways to go to infinity. One is to grow large without measure. The other is to form a fraction in which the denominator goes to zero. The Cross is a path of humility in which the infinite God becomes finite and then contracts to zero, only to resurrect and thereby unite a finite humanity within a newfound infinity." http://www.designinference.com/documents/2009.05.end_of_xty.pdf
As to empirical proof,,, Kevin Moran, a scientist working on the mysterious '3D' nature of the Shroud image, states the 'supernatural' explanation of how the Shroud formed this way:
"It is not a continuum or spherical-front radiation that made the image, as visible or UV light. It is not the X-ray radiation that obeys the one over R squared law that we are so accustomed to in medicine. It is more unique. It is suggested that the image was formed when a high-energy particle struck the fiber and released radiation within the fiber at a speed greater that the local speed of light. Since the fiber acts as a light pipe, this energy moved out through the fiber until it encountered an optical discontinuity, then it slowed to the local speed of light and dispersed. The fact that the pixels don’t fluoresce suggests that the conversion to their now brittle dehydrated state occurred instantly and completely so no partial products remain to be activated by the ultraviolet light. This suggests a quantum event where a finite amount of energy transferred abruptly. The fact that there are images front and back suggests the radiating particles were released along the gravity vector. The radiation pressure may also help explain why the blood was "lifted cleanly" from the body as it transformed to a resurrected state." http://www.shroudstory.com/natural.htm
Verses and music:
Colossians 1:15-20 The Son is the image of the invisible God, the firstborn over all creation. For in him all things were created: things in heaven and on earth, visible and invisible, whether thrones or powers or rulers or authorities; all things have been created through him and for him. He is before all things, and in him all things hold together. And he is the head of the body, the church; he is the beginning and the firstborn from among the dead, so that in everything he might have the supremacy. For God was pleased to have all his fullness dwell in him, and through him to reconcile to himself all things, whether things on earth or things in heaven, by making peace through his blood, shed on the cross. Philippians 2: 5-11 Let this mind be in you, which was also in Christ Jesus: Who, being in the form of God, thought it not robbery to be equal with God: But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men: And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross. Wherefore God also hath highly exalted him, and given him a name which is above every name: That at the name of Jesus every knee should bow, of things in heaven, and things in earth, and things under the earth; And that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father. Empty (Empty Cross Empty Tomb) with Dan Haseltine Matt Hammitt (Music Inspired by The Story) http://www.godtube.com/watch/?v=F22MCCNU
Further notes:
The Center Of The Universe Is Life - General Relativity, Quantum Mechanics, Entropy and The Shroud Of Turin - video http://vimeo.com/34084462 Turin Shroud Enters 3D Age - Pictures, Articles and Videos https://docs.google.com/document/pub?id=1gDY4CJkoFedewMG94gdUk1Z1jexestdy5fh87RwWAfg Condensed notes on The Authenticity of the Shroud of Turin https://docs.google.com/document/d/15IGs-5nupAmTdE5V-_uPjz25ViXbQKi9-TyhnLpaC9U/edit
bornagain77
September 29, 2012
September
09
Sep
29
29
2012
03:28 AM
3
03
28
AM
PDT
A few notes on seeing 'infinity':
"To see the world in a grain of sand, and to see heaven in a wild flower, hold infinity in the palm of your hands, and eternity in an hour." William Blake Georg Cantor - The Mathematics Of Infinity - video http://www.metacafe.com/watch/4572335 entire video: BBC-Dangerous Knowledge http://video.google.com/videoplay?docid=-8492625684649921614 Infinitely wrong - Sheldon - November 2010 Excerpt: So you see, they gleefully cry, even [1 / 10^(10^123)] x infinity = 1! Even the most improbable events can be certain if you have an infinite number of tries.,,,Ahh, but does it? I mean, zero divided by zero is not one, nor is 1/infinity x infinity = 1. Why? Well for starters, it assumes that the two infinities have the same cardinality. http://procrustes.blogtownhall.com/2010/11/05/infinitely_wrong.thtml THE MYSTERIOUS ZERO/INFINITY Excerpt: The biggest challenge to today's physicists is how to reconcile general relativity and quantum mechanics. However, these two pillars of modern science were bound to be incompatible. "The universe of general relativity is a smooth rubber sheet. It is continuous and flowing, never sharp, never pointy. Quantum mechanics, on the other hand, describes a jerky and discontinuous universe. What the two theories have in common - and what they clash over - is zero.",, "The infinite zero of a black hole -- mass crammed into zero space, curving space infinitely -- punches a hole in the smooth rubber sheet. The equations of general relativity cannot deal with the sharpness of zero. In a black hole, space and time are meaningless.",, "Quantum mechanics has a similar problem, a problem related to the zero-point energy. The laws of quantum mechanics treat particles such as the electron as points; that is, they take up no space at all. The electron is a zero-dimensional object,,, According to the rules of quantum mechanics, the zero-dimensional electron has infinite mass and infinite charge. http://www.fmbr.org/editoral/edit01_02/edit6_mar02.htm Quantum Mechanics and Relativity – The Collapse Of Physics? – video – with notes as to plausible reconciliation that is missed by materialists http://www.metacafe.com/watch/6597379/
Also of related interest to this ‘Zero/Infinity conflict of reconciliation’, between General Relativity and Quantum Mechanics, is that a ‘uncollapsed’ photon, in its quantum wave state, is mathematically defined as ‘infinite’ information:
Wave function Excerpt "wave functions form an abstract vector space",,, This vector space is infinite-dimensional, because there is no finite set of functions which can be added together in various combinations to create every possible function. http://en.wikipedia.org/wiki/Wave_function#Wave_functions_as_an_abstract_vector_space Explaining Information Transfer in Quantum Teleportation: Armond Duwell †‡ University of Pittsburgh Excerpt: In contrast to a classical bit, the description of a (photon) qubit requires an infinite amount of information. The amount of information is infinite because two real numbers are required in the expansion of the state vector of a two state quantum system (Jozsa 1997, 1) http://www.cas.umt.edu/phil/faculty/duwell/DuwellPSA2K.pdf Quantum Computing – Stanford Encyclopedia Excerpt: Theoretically, a single qubit can store an infinite amount of information, yet when measured (and thus collapsing the Quantum Wave state) it yields only the classical result (0 or 1),,, http://plato.stanford.edu/entries/qt-quantcomp/#2.1
bornagain77
September 29, 2012
September
09
Sep
29
29
2012
03:25 AM
3
03
25
AM
PDT
Bruce Gordon - Associate Professor of Science and Mathematics - The King's College B.S. Applied Mathematics - University of Calgary M.A. Philosophy - University of Calgary M.A.R. Apologetics/Systematic Theology - Westminster Theological Seminary Ph.D. History and Philosophy of Science (Physics)- Northwestern University http://www.tkc.edu/academics/faculty/display.asp?id=82
BRUCE GORDON: Hawking's irrational arguments - October 2010 Excerpt: What is worse, multiplying without limit the opportunities for any event to happen in the context of a multiverse - where it is alleged that anything can spontaneously jump into existence without cause - produces a situation in which no absurdity is beyond the pale. For instance, we find multiverse cosmologists debating the "Boltzmann Brain" problem: In the most "reasonable" models for a multiverse, it is immeasurably more likely that our consciousness is associated with a brain that has spontaneously fluctuated into existence in the quantum vacuum than it is that we have parents and exist in an orderly universe with a 13.7 billion-year history. This is absurd. The multiverse hypothesis is therefore falsified because it renders false what we know to be true about ourselves. Clearly, embracing the multiverse idea entails a nihilistic irrationality that destroys the very possibility of science. http://www.washingtontimes.com/news/2010/oct/1/hawking-irrational-arguments/ The Absurdity of Inflation, String Theory and The Multiverse - Dr. Bruce Gordon - video http://vimeo.com/34468027
bornagain77
September 29, 2012
September
09
Sep
29
29
2012
02:37 AM
2
02
37
AM
PDT
Infinity is pseudoscientific, self-contradicting nonsense. It should be in neither science not theology.Mapou
September 29, 2012
September
09
Sep
29
29
2012
01:06 AM
1
01
06
AM
PDT
as to George Chaitin, here is what Gregory Chaitin, a world-famous mathematician and computer scientist, said about the limits of the computer program he was trying to develop to prove evolution was mathematically feasible:
At last, a Darwinist mathematician tells the truth about evolution - VJT - November 2011 Excerpt: In Chaitin’s own words, “You’re allowed to ask God or someone to give you the answer to some question where you can’t compute the answer, and the oracle will immediately give you the answer, and you go on ahead.” https://uncommondescent.com/intelligent-design/at-last-a-darwinist-mathematician-tells-the-truth-about-evolution/
Here is the video where, at the 30:00 minute mark, you can hear the preceding quote from Chaitin's own mouth in full context:
Life as Evolving Software, Greg Chaitin at PPGC UFRGS http://www.youtube.com/watch?v=RlYS_GiAnK8
Moreover, at the 40:00 minute mark of the video Chaitin readily admits that Intelligent Design is the best possible way to get evolution to take place, and at the 43:30 minute mark Chaitin even tells of a friend pointing out that the idea Evolutionary computer model that Chaitin has devised does not have enough time to work. And Chaitin even agreed that his friend had a point, although Chaitin still ends up just 'wanting', and not ever proving, his idea Darwinian mathematical model to be true! Chaitin figures prominently in these following videos about Godel's incompleteness theorem:
Kurt Gödel - Incompleteness Theorem - video http://www.metacafe.com/w/8462821 Alan Turing & Kurt Godel - Incompleteness Theorem and Human Intuition - video (notes in video description) http://www.metacafe.com/watch/8516356/
As to why Chaitin would be trying to develop a mathematical model/computer simulation, to prove evolution was even feasible in the first place, well contrary to popular belief, it turns out that Darwinism doesn't really even have a basic mathematical equation by which it can be analyzed (although I have heard Darwinists insist time and again that Darwinism does have a rigid mathematical foundation within science):
Oxford University Seeks Mathemagician — May 5th, 2011 by Douglas Axe Excerpt: Grand theories in physics are usually expressed in mathematics. Newton’s mechanics and Einstein’s theory of special relativity are essentially equations. Words are needed only to interpret the terms. Darwin’s theory of evolution by natural selection has obstinately remained in words since 1859. … http://biologicinstitute.org/2011/05/05/oxford-university-seeks-mathemagician/
a few more notes of interest:
Nobel Prize-Winning Physicist Wolfgang Pauli on the Empirical Problems with Neo-Darwinism - Casey Luskin - February 27, 2012 Excerpt: "In discussions with biologists I met large difficulties when they apply the concept of 'natural selection' in a rather wide field, without being able to estimate the probability of the occurrence in a empirically given time of just those events, which have been important for the biological evolution. Treating the empirical time scale of the evolution theoretically as infinity they have then an easy game, apparently to avoid the concept of purposesiveness. While they pretend to stay in this way completely 'scientific' and 'rational,' they become actually very irrational, particularly because they use the word 'chance', not any longer combined with estimations of a mathematically defined probability, in its application to very rare single events more or less synonymous with the old word 'miracle.'" Wolfgang Pauli (pp. 27-28) - http://www.evolutionnews.org/2012/02/nobel_prize-win056771.html Murray Eden, as reported in “Heresy in the Halls of Biology: Mathematicians Question Darwinism,” Scientific Research, November 1967, p. 64. “It is our contention that if ‘random’ is given a serious and crucial interpretation from a probabilistic point of view, the randomness postulate is highly implausible and that an adequate scientific theory of evolution must await the discovery and elucidation of new natural laws—physical, physico-chemical, and biological.” Murray Eden, “Inadequacies of Neo-Darwinian Evolution as a Scientific Theory,” Mathematical Challenges to the Neo-Darwinian Interpretation of Evolution, editors Paul S. Moorhead and Martin M. Kaplan, June 1967, p. 109. http://www.creationscience.com/onlinebook/ReferencesandNotes32.html Evolution and the Illusion of Randomness - Talbott - Fall 2011 Excerpt: The situation calls to mind a widely circulated cartoon by Sidney Harris, which shows two scientists in front of a blackboard on which a body of theory has been traced out with the usual tangle of symbols, arrows, equations, and so on. But there’s a gap in the reasoning at one point, filled by the words, “Then a miracle occurs.” And the one scientist is saying to the other, “I think you should be more explicit here in step two.” In the case of evolution, I picture Dennett and Dawkins filling the blackboard with their vivid descriptions of living, highly regulated, coordinated, integrated, and intensely meaningful biological processes, and then inserting a small, mysterious gap in the middle, along with the words, “Here something random occurs.” This “something random” looks every bit as wishful as the appeal to a miracle. It is the central miracle in a gospel of meaninglessness, a “Randomness of the gaps,” demanding an extraordinarily blind faith. At the very least, we have a right to ask, “Can you be a little more explicit here?” http://www.thenewatlantis.com/publications/evolution-and-the-illusion-of-randomness Dr. David Berlinski: Math and Darwinian Evolution (Part 2) http://www.youtube.com/watch?v=hEDYr_fgcP8 quote from preceding video: "John Von Neumann, one of the great mathematicians of the twentieth century, just laughed at Darwinian theory, he hooted at it!" Dr. David Berlinski
bornagain77
September 28, 2012
September
09
Sep
28
28
2012
07:11 PM
7
07
11
PM
PDT
When studying as a seminarian for a brief time, I found myself putting down as my bibliography at the end of an essay, a list of books by some of the great novelists, such as Solzhenitsin, Graham Greene, J D Salinger, John Steinbeck. I seem to have had a congenital indisposition for answering questions in the prescribed manner. It was never an asset to me in my limited tertiary studies. The RC church has systematised theology brilliantly in the catechism, but apart from that, the formal rigidity of a system seems to me antithetical to something as ultra-personal as our Christian God and his adoptive, family relationship with us. That Christianity has been marginalised by science, instead of its theology's being acccepted as the Queen of the Sciences, is grotesque beyond belief, and would be hilarious had its effect not been so crippling on science; a point often reiterated in more general, but no less pointed, terms, here, at UD, as we all know.Axel
September 28, 2012
September
09
Sep
28
28
2012
05:26 PM
5
05
26
PM
PDT
I should also recommend Gregory Chaitin. He is not a Christian or an ID'er, but he knows and respects the philosophical intellectual history of mathematics. He is also not an anti-ID'er - he disagrees with ID but does so entirely on friendly terms, and uses reason and argument instead of hot air. His lectures are worth every minute of watching. Just look for his name on YouTube.johnnyb
September 28, 2012
September
09
Sep
28
28
2012
05:16 PM
5
05
16
PM
PDT
Dr. David Berlinski (PhD Math) – http://www.davidberlinski.org/books.php Dr. Marvin Bittinger (PhD Math) – https://twitter.com/DrBittinger – http://amzn.to/TOK9UI (Amazon book) – http://www.facultylinc.com/bittinger-marvin-l/ Dr. John Lennox (PhD Math) – http://johnlennox.org Dr. William Dembski (PhD Math) Dr. Granville Sewell Vern Poythress (PhD theology, PhD Math (Harvard)) Dr. Walter Bradley (PhD, Materials Science) -- http://bit.ly/UyZ6VE (CV)Christian-apologetics.org
September 28, 2012
September
09
Sep
28
28
2012
05:08 PM
5
05
08
PM
PDT
Dr. David Berlinski (PhD Math) -- http://www.davidberlinski.org/books.php Dr. Marvin Bittinger (PhD Math) – https://twitter.com/DrBittinger – http://amzn.to/TOK9UI (Amazon book) – http://www.facultylinc.com/bittinger-marvin-l/ Dr. John Lennox (PhD Math) – http://johnlennox.org Dr. William Dembski (PhD Math) Dr. Granville Sewell Vern Poythress (PhD theology, PhD Math (Harvard))Christian-apologetics.org
September 28, 2012
September
09
Sep
28
28
2012
04:49 PM
4
04
49
PM
PDT
How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? Is human reason, then, without experience, merely by taking thought, able to fathom the properties of real things? — Albert Einstein “… if nature is really structured with a mathematical language and mathematics invented by man can manage to understand it, this demonstrates something extraordinary. The objective structure of the universe and the intellectual structure of the human being coincide.” – Pope Benedict XVI Darwin and the Mathematicians - David Berlinski http://www.evolutionnews.org/2009/11/darwin_and_the_mathematicians.html “Darwin’s theory is easily the dumbest idea ever taken seriously by science." Granville Sewell - Professor Of Mathematics - University Of Texas - El Paso Godel and Physics - John D. Barrow Excerpt (page 5-6): "Clearly then no scientific cosmology, which of necessity must be highly mathematical, can have its proof of consistency within itself as far as mathematics go. In absence of such consistency, all mathematical models, all theories of elementary particles, including the theory of quarks and gluons...fall inherently short of being that theory which shows in virtue of its a priori truth that the world can only be what it is and nothing else. This is true even if the theory happened to account for perfect accuracy for all phenomena of the physical world known at a particular time." Stanley Jaki - Cosmos and Creator - 1980, pg. 49 http://arxiv.org/pdf/physics/0612253.pdf A Biblical View of Mathematics - Vern Poythress - doctorate in theology, PhD in Mathematics (Harvard) Excerpt: only on a thoroughgoing Biblical basis can one genuinely understand and affirm the real agreement about mathematical truths. http://www.theologynetwork.org/theology-of-everything/going-on/a-biblical-view-of-mathematics.htmbornagain77
September 28, 2012
September
09
Sep
28
28
2012
04:37 PM
4
04
37
PM
PDT
a few assorted notes: Finely Tuned Big Bang, Elvis In The Multiverse, and the Schroedinger Equation - Granville Sewell - audio http://www.metacafe.com/watch/4233012 At the 4:00 minute mark of the preceding audio, Dr. Sewell comments on the ‘transcendent’ and ‘constant’ Schroedinger’s Equation; ‘In chapter 2, I talk at some length on the Schroedinger Equation which is called the fundamental equation of chemistry. It’s the equation that governs the behavior of the basic atomic particles subject to the basic forces of physics. This equation is a partial differential equation with a complex valued solution. By complex valued I don’t mean complicated, I mean involving solutions that are complex numbers, a+bi, which is extraordinary that the governing equation, basic equation, of physics, of chemistry, is a partial differential equation with complex valued solutions. There is absolutely no reason why the basic particles should obey such a equation that I can think of except that it results in elements and chemical compounds with extremely rich and useful chemical properties. In fact I don’t think anyone familiar with quantum mechanics would believe that we’re ever going to find a reason why it should obey such an equation, they just do! So we have this basic, really elegant mathematical equation, partial differential equation, which is my field of expertise, that governs the most basic particles of nature and there is absolutely no reason why, anyone knows of, why it does, it just does. British physicist Sir James Jeans said “From the intrinsic evidence of His creation, the great architect of the universe begins to appear as a pure mathematician”, so God is a mathematician to’. i.e. the Materialist is at a complete loss to explain why this should be so, whereas the Christian Theist presupposes such ‘transcendent’ control of our temporal, material, reality,,, John 1:1 In the beginning was the Word, and the Word was with God, and the Word was God. Michael Denton – Mathematical Truths Are Transcendent And Beautiful – Square root of -1 is built into the fabric of reality – video http://www.metacafe.com/watch/4003918 Alan Turing and Kurt Godel - Incompleteness Theorem and Human Intuition - video (notes in video description) http://www.metacafe.com/watch/8516356/ Mathematics is the language with which God has written the universe. Galileo Galilei The Unreasonable Effectiveness of Mathematics in the Natural Sciences - Eugene Wigner Excerpt: The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning. http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html Calvin and Hobbes - cartoon - The Mathematical Atheist http://s3.hubimg.com/u/270622_f520.jpg The Underlying Mathematical Foundation Of The Universe - Walter Bradley - video http://www.metacafe.com/watch/4491491 The Five Foundational Equations of the Universe and Brief Descriptions of Each: http://docs.google.com/Doc?docid=0AYmaSrBPNEmGZGM4ejY3d3pfNDdnc3E4bmhkZg&hl=en Why Mathematics Works, part 1 - James Nickel - video http://www.youtube.com/watch?v=r1YssV8qi-wbornagain77
September 28, 2012
September
09
Sep
28
28
2012
04:37 PM
4
04
37
PM
PDT
Yes, my bad, and I even have his book. And there are probably others...Christian-apologetics.org
September 28, 2012
September
09
Sep
28
28
2012
04:37 PM
4
04
37
PM
PDT
excuse me,,, Granville Sewell - Mathematics Dept. University of Texas El Paso (Papers and Videos) http://www.math.utep.edu/Faculty/sewell/bornagain77
September 28, 2012
September
09
Sep
28
28
2012
04:24 PM
4
04
24
PM
PDT
Graville Sewellbornagain77
September 28, 2012
September
09
Sep
28
28
2012
04:22 PM
4
04
22
PM
PDT
I wonder if people could suggest like-minded IDists who are Mathematicians. Here is a starter: Dr. David Berlinski (PhD Maths) Dr. Marvin Bittinger (PhD Maths) -- https://twitter.com/DrBittinger -- http://www.amazon.com/The-Faith-Equation-Mathematicians-Christianity/dp/1933669071 -- http://www.facultylinc.com/bittinger-marvin-l/ Dr. John Lennox (PhD Maths) -- http://johnlennox.org Dr. William Dembski (PhD Maths)Christian-apologetics.org
September 28, 2012
September
09
Sep
28
28
2012
04:19 PM
4
04
19
PM
PDT
I agree wholeheartedly with Johnnyb's affirmations, and with the comments of bornagain77, and with those of Christian-apologetics.org. Recognizing the unity of truth, is a big, big deal. Without it, both sanctity and rationality are compromised.StephenB
September 28, 2012
September
09
Sep
28
28
2012
04:01 PM
4
04
01
PM
PDT
Oh yes yes yes, this is so in line with my thinking. As I was reminded recently, "university" means unity within diversity, yet theology seems to stand outside the door as a non-bearer of knowledge and irrelevant to the epistemic wellspring of our culture. This needs to change. It strikes me as rather ironic that many atheists see more glory in science than many Christians. This I find very intellectually disheartening, since to the atheist there is really only time and chance behind the beauty they almost worship at times. If johnnyb is anything like me, he is seeing the hand of God in the science he is doing. And he is amazed by it. And probably be sees himself worshipping the Creator as he does his science. PS. Thanks for the links to those papers.Christian-apologetics.org
September 28, 2012
September
09
Sep
28
28
2012
02:55 PM
2
02
55
PM
PDT
I don't how much this will effect some peoples mathematical 'tastes', but Dr. William Dembski, has even related 1 and 0, which are also found in Euler's identity, to theology here: The End Of Christianity - Finding a Good God in an Evil World - Pg.31 William Dembski PhD. Mathematics Excerpt: "In mathematics there are two ways to go to infinity. One is to grow large without measure. The other is to form a fraction in which the denominator goes to zero. The Cross is a path of humility in which the infinite God becomes finite and then contracts to zero, only to resurrect and thereby unite a finite humanity within a newfound infinity." http://www.designinference.com/documents/2009.05.end_of_xty.pdf Of note: I hold 'growing large without measure' to be a lesser quality infinity than a fraction in which the denominator goes to zero. The reason why I hold it to be a 'lesser quality infinity' is stated at the 4:30 minute mark of the following video: Can A "Beginning-less Universe" Exist? - William Lane Craig - video http://www.youtube.com/watch?v=K8YN0fwo5J4 also of note to theology and math: Taking God Out of the Equation - Biblical Worldview - by Ron Tagliapietra - January 1, 2012 Excerpt: Kurt Gödel (1906–1978) proved that no logical systems (if they include the counting numbers) can have all three of the following properties. 1. Validity . . . all conclusions are reached by valid reasoning. 2. Consistency . . . no conclusions contradict any other conclusions. 3. Completeness . . . all statements made in the system are either true or false. The details filled a book, but the basic concept was simple and elegant. He summed it up this way: “Anything you can draw a circle around cannot explain itself without referring to something outside the circle—something you have to assume but cannot prove.” For this reason, his proof is also called the Incompleteness Theorem. Kurt Gödel had dropped a bomb on the foundations of mathematics. Math could not play the role of God as infinite and autonomous. It was shocking, though, that logic could prove that mathematics could not be its own ultimate foundation. Christians should not have been surprised. The first two conditions are true about math: it is valid and consistent. But only God fulfills the third condition. Only He is complete and therefore self-dependent (autonomous). God alone is “all in all” (1 Corinthians 15:28), “the beginning and the end” (Revelation 22:13). God is the ultimate authority (Hebrews 6:13), and in Christ are hidden all the treasures of wisdom and knowledge (Colossians 2:3). http://www.answersingenesis.org/articles/am/v7/n1/equation# The God of the Mathematicians - Goldman Excerpt: As Gödel told Hao Wang, “Einstein’s religion [was] more abstract, like Spinoza and Indian philosophy. Spinoza’s god is less than a person; mine is more than a person; because God can play the role of a person.” - Kurt Gödel - (Gödel is considered one of the greatest logicians who ever existed) http://www.firstthings.com/article/2010/07/the-god-of-the-mathematiciansbornagain77
September 28, 2012
September
09
Sep
28
28
2012
11:37 AM
11
11
37
AM
PDT
also of related note: Fascinating Bible code – Pi and natural log e – video (of note: correct exponent for base of Nat Log e found in John 1:1 is 10^40, not 10^65 as stated in the video) http://www.youtube.com/watch?v=Wg9LiiSVaes This following website has the complete working out of the math of Pi and e in the Bible, in the Hebrew and Greek languages respectively, for Genesis 1:1 and John 1:1: http://www.biblemaths.com/pag03_pie/ further notes: in the equation e^pi*i + 1 = 0 ,,,we find that pi is required in; General Relativity (Einstein’s Equation) https://docs.google.com/File?id=dc8z67wz_52c9nxpz2h_b ,,,and we also find that the square root of negative 1 is required in; Quantum Mechanics (Schrödinger’s Equations) https://docs.google.com/File?id=dc8z67wz_51ck47zff3_b ,,and we also find that e is required for; e is required here in wave equations, in finding the distribution of prime numbers, in electrical theory, and is also found to be foundational to trigonometry.,,, this number, e, also appears in banking, because it is the maximum limit for growth of compound interest. Some of the various uses and equations of 'e' are listed at the bottom of the following page: http://www.biblemaths.com/pag03_pie/img0.gifbornagain77
September 28, 2012
September
09
Sep
28
28
2012
11:27 AM
11
11
27
AM
PDT
of related note: Leonhard Euler, the son of a Christian pastor, and a fervent Christian all his life, is simply unparalleled in mathematics: An Evening with Leonhard Euler - video http://www.youtube.com/watch?v=h-DV26x6n_Q God by the Numbers - Connecting the constants Excerpt: The final number comes from theoretical mathematics. It is Euler's (pronounced "Oiler's") number: e*pi*i. This number is equal to -1, so when the formula is written e*pi*i+1 = 0, it connects the five most important constants in mathematics (e, pi, i, 0, and 1) along with three of the most important mathematical operations (addition, multiplication, and exponentiation). These five constants symbolize the four major branches of classical mathematics: arithmetic, represented by 1 and 0; algebra, by i; geometry, by pi; and analysis, by e, the base of the natural log. e*pi*i+1 = 0 has been called "the most famous of all formulas," because, as one textbook says, "It appeals equally to the mystic, the scientist, the philosopher, and the mathematician." http://www.christianitytoday.com/ct/2006/march/26.44.html?start=3bornagain77
September 28, 2012
September
09
Sep
28
28
2012
11:16 AM
11
11
16
AM
PDT

Leave a Reply