Results for: drawing-s-circles Search Results
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0:57
easy way to draw imposible circles
2 Sep 2008
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1:17
How to make a funny digital cartoon figure in a matter of seconds
6 Feb 2008
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0:15
Can you draw a circle with a motor racer?.
11 Oct 2006
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1:57
Learn to draw a Teddy Bear using only cirlcles. You say you can't draw? If you can draw a circle then you can draw this cute little Teddy Bear. A great teaching tool and fun exercize for beginning artists.
14 Nov 2006
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0:38
Swinging forward (Hold your hands in a fist with your poi handles in your index and middle finger, with your hand draw a circle starting from the bottom, moving to the back then forward, make sure you only move your wrist and that you are spinning your poi vertically to avoid hitting your legs)
4 Jul 2007
1009
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0:56
How to draw double circle. I had solved this in just one minute, but my way was different than the given answer in the video. --Sent via *******heyspread**** : Upload videos to multiple sites quickly
28 Aug 2007
257
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2:17
Tips- Try to notice that the shape around an angry eye is much more compressed than a calm eye. When a person is enraged, the muscles around the eye tighten and pull the eyelids inward. This creates deeper shadows and uncovers more of the white of the eye. In the angry eye there is a separation between the top of the iris and the eyelid. Step 1- Draw a circle with a rainbow shape above it. Remember to leave a space about half of the size of the iris in between the upper lid and upper iris. Step 2- Draw in the shape of the eyebrow. Make sure that it is angled downwards towards the inner corner of the eye. It should actually connect with the eye lashes on the upper eye lid Step 3- Draw in the pupil and the lower eyelid. Leave a black space in the pupil for a reflection. The lower eyelid should graze the bottom of the iris. Step 4- The bottom eyelid is literally wrapped around the eyeball. Make a bowl like shape below the eye and add a squiggly line on the inner corner of the eye to hint at the side of the nose. Step 5- Shade the pupil and iris and the upper eye lashes. Please note that the upper eyelashes are thicker and fuller than the bottom ones. Step 6- Shade in the eyebrow. Please notice that it is not evenly shaded throughout. Step 7- Darken the area around the eye but do not touch the white area. The eyes seem to sink in more when a person is angry, creating deeper shadows. Demonstration by Merrill Kazanjian- Merrillk****
17 Mar 2009
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9:58
The Creation Of The Universe (Kalam Cosmological Argument)- Lee Strobel - William Lane Craig - video *******www.metacafe****/watch/3993987/intelligent_design_evidence_of_cosmology_william_lane_craig/ Formal Proof For The Transcendent Origin Of the Universe - William Lane Craig - video *******www.metacafe****/watch/4170233/formal_proof_for_the_transcendent_origin_of_the_universe_william_lane_craig/ "It is said that an argument is what convinces reasonable men and a proof is what it takes to convince even an unreasonable man. With the proof now in place, cosmologists can long longer hide behind the possibility of a past eternal universe. There is no escape, they have to face the problem of a cosmic beginning." Alexander Vilenkin - Many Worlds In One - Pg. 176 Inflationary spacetimes are not past-complete - Borde-Guth-Vilenkin - 2003 Excerpt: inflationary models require physics other than inflation to describe the past boundary of the inflating region of spacetime. *******arxiv****/abs/gr-qc/0110012 Gödel’s Incompleteness: The #1 Mathematical Breakthrough of the 20th Century Excerpt: Gödel’s Incompleteness Theorem says: “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.” *******www***smicfingerprints****/blog/incompleteness/ The Known Universe - Dec. 2009 - very cool video (please note the centrality of the earth in the universe) *******www.youtube****/v/17jymDn0W6U The Center Of The Universe Is Life - video *******www.metacafe****/watch/3993426/the_center_of_the_universe_is_life/ Intelligent Design - The Anthropic Hypothesis *******lettherebelight-77.blogspot****/
15 Feb 2010
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8:41
Kurt Gödel brought mathematical completeness to Georg Cantor's math of infinities by the following: Gödel’s Incompleteness: The #1 Mathematical Breakthrough of the 20th Century Excerpt: Excerpt: Gödel’s Incompleteness Theorem says: “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.” *******www***smicfingerprints****/blog/incompleteness/ Hilbert’s Hotel and Infinity – William Lane Craig *******www.youtube****/watch?v=lobeX6ft6PA The "infinite" problem of joining relativity and quantum mechanics: The Physics Of The Large And Small: What Is the Bridge Between Them? Roger Penrose Excerpt: This, (the unification of General Relativity and the laws of Quantum Mechanics), would also have practical advantages in the application of quantum ideas to subjects like biology - in which one does not have the clean distinction between a quantum system and its classical measuring apparatus that our present formalism requires. In my opinion, moreover, this revolution is needed if we are ever to make significant headway towards a genuine scientific understanding of the mysterious but very fundamental phenomena of conscious mentality. *******www.pul.it/irafs/CD%20IRAFS%2702/texts/Penrose.pdf Yet, this "unification" between what is in essence the "infinite world of Quantum Mechanics" and the "finite world of the space-time of General Relativity" seems to be directly related to what Jesus apparently joined together with His resurrection, i.e. related to the unification of infinite God with finite man: The Center Of The Universe Is Life - General Relativity, Quantum Mechanics and The Shroud Of Turin - video *******www.metacafe****/watch/3993426/ The End Of Christianity - Finding a Good God in an Evil World - Pg.31 - William Dembski 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." *******www.designinference****/documents/2009.05.end_of_xty.pdf A photon is made of "infinite" specified information: 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) — Concept 2. is used by Bennett, et al. Recall that they infer that since an infinite amount of information is required to specify a qubit, an infinite amount of information must be transferred to teleport. *******www.cas.umt.edu/phil/faculty/duwell/DuwellPSA2K.pdf And can hypothetically be encoded with infinite information: 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. *******physicsworld****/cws/article/news/7201 Unconditional Quantum Teleportation - abstract Excerpt: This is the first realization of unconditional quantum teleportation where every state entering the device is actually teleported,, *******www.sciencemag****/cgi/content/abstract/282/5389/706 And a photon can be destroyed by removal of its "infinite" information Of note: conclusive evidence for the violation of the First Law of Thermodynamics is firmly found in the preceding experiment when coupled with the complete displacement of the infinite transcendent information of "Photon c": *******docs.google****/Doc?docid=0AYmaSrBPNEmGZGM4ejY3d3pfMzBmcjR0eG1neg Thus since Theism holds that only God is infinite and perfect in knowlege (information) then I hold that man will never create a novel photon. pi is infinite information: Proverbs 8:26-27 While as yet He had not made the earth or the fields, or the primeval dust of the world. When He prepared the heavens, I was there, when He drew a circle on the face of the deep, Euler's Number - God Created Mathematics - video *******www.metacafe****/watch/4003905 This following website has the complete working out of the math of Pi and e in the Bible, in the Hebrew and Greek languages, for Genesis 1:1 and John 1:1: *******www.biblemaths****/pag03_pie/ Michael Denton - Mathematical Truths Are Transcendent And Beautiful - video *******www.metacafe****/watch/4003918 Since a physical infinite is an impossibility, as by Hibert's hotel, then the actual infinite only resides in transcendent information. Double slit- quantum erasure proves the infinite transcendent information is conscious. i.e. The Word is Alive: John 1:1 This following experiment highlights the centrality of consciousness in the Double Slit Experiment as to the wave collapse and refutes any "detector centered" arguments for wave collapse: Delayed choice quantum eraser *******onemorebrown.wordpress****/2008/02/10/god-vs-the-delayed-choice-quantum-eraser/ of note; Consciousness must be INFORMED with local certainty to cause the wave to become a particle. We know from the Double Slit Experiment, with delayed erasure, that the simple fact of a detector being present is NOT sufficient to explain the wave collapse. If the detector results are erased after detection but before conscious analysis we see the wave form result instead of the particle result. This clearly establishes the centrality of consciousness to the whole experiment. i.e. The clear implication from the experiment is that consciousness is primary, and detection secondary, to the collapse of the wave function to a 3-D particle. Consciousness must precede 3-Dimensional material reality. Intelligent Design - The Anthropic Hypothesis *******lettherebelight-77.blogspot****/
4 May 2010
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0:48
How to Do Pilates Leg Circles - part of the women's fitness video series by GeoBeats. Hi, my name is Michelle and I'm here at Apex Wellness gym, and I'm going to demo for you Pilates Leg Circles. You're going to lay on your back, put your feet up to the ceiling, point your toes, and draw little circles on the ceiling. Keeping your lower back glued to the mat so that you're really engaging your core. Do 8 circles one direction, and then switch, and go back the other way 8 times. Do 3 sets of this. This will really work your core.
28 Mar 2011
420
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6:06
Entire video; BBC The Story of Maths Ep3: The Frontiers of Space ¦ 480p [3/4] = video *******www.youtube****/watch?v=u6ZdqHMHtoA Carl Friedrich Gauss was a devout Christian who supported monarchy and opposed Napoleon, whom he saw as an outgrowth of the revolution. *******www***nservapedia****/Carl_Friedrich_Gauss Gauss's work on complex numbers, like the square root of negative one, extend the idea of the one-dimensional number line to the two-dimensional complex plane by using the number line for the real part and adding a vertical axis to plot the imaginary part. In this way the complex numbers contain the ordinary real numbers while extending them in order to solve problems that would be impossible with only real numbers. This 'higher dimensional number line', particularly this understanding gained for the 'higher dimensionality' of the square root of negative one (i), is essential for understanding quantum mechanics: Finely Tuned Big Bang, Elvis In The Multiverse, and the Schrodinger Equation - Granville Sewell - audio *******www.metacafe****/watch/4233012 At the 4:00 minute mark of the preceding audio, Dr. Sewell comments on the ‘transcendent’ and ‘constant’ Schrodinger Equation; ‘In chapter 2, I talk at some length on the Schrodinger 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+b^i, 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’. Michael Denton – Mathematical Truths Are Transcendent And Beautiful – Square root of -1 is built into the fabric of reality – video *******www.metacafe****/watch/4003918 Bernhard Riemann was the son of a Christian minister who, like Gauss, was a devout Christian his entire life and whose work on the geometry of ‘higher dimensionality’ was essential for opening the door for Einstein’s General Theory of Relativity; Bernhard Riemann Excerpt: For his Habiltationsvortrag Riemann proposed three topics, and against his expectations Gauss chose the one on geometry. Riemann's lecture, "On the hypotheses that lie at the foundation of geometry" was given on June 10, 1854. This extraordinary work introduced (what is now called) an n-dimensional Riemannian manifold and its curvature tensor. It also, prophetically, discussed the relation of this mathematical space to actual space. Riemann's vision was realized by Einstein's general theory of relativity sixty years later. *******www.usna.edu/Users/math/meh/riemann.html 4-Dimensional Space-Time Of General Relativity - Every 3D Place Is Center In This Universe - video *******www.metacafe****/watch/3991873/ The Center Of The Universe Is Life - General Relativity, Quantum Mechanics, Entropy and The Shroud Of Turin - video *******www.metacafe****/w/5070355 Turin Shroud Enters 3D Age - Pictures, Articles and Videos ********docs.google****/document/pub?id=1gDY4CJkoFedewMG94gdUk1Z1jexestdy5fh87RwWAfg 4-Dimensional Quarter Power Scaling In Biology - video *******www.metacafe****/w/5964041/ The ‘Fourth Dimension’ Of Living Systems ********docs.google****/document/pub?id=1Gs_qvlM8-7bFwl9rZUB9vS6SZgLH17eOZdT4UbPoy0Y Quantum Information/Entanglement In DNA & Protein Folding - short video *******www.metacafe****/watch/5936605/ It is very interesting to note that quantum entanglement, which conclusively demonstrates that ‘information’ in its pure 'quantum form' is completely transcendent of any time and space constraints, should be found in molecular biology, for how can the quantum entanglement effect in biology possibly be explained by a material (matter/energy) cause when the quantum entanglement effect falsified material particles as its own causation in the first place? (A. Aspect) Appealing to the probability of various configurations of material particles, as Darwinism does, simply will not help since a timeless/spaceless cause must be supplied which is beyond the capacity of the material particles themselves to supply! To give a coherent explanation for an effect that is shown to be completely independent of any time and space constraints one is forced to appeal to a cause that is itself not limited to time and space! i.e. Put more simply, you cannot explain a effect by a cause that has been falsified by the very same effect you are seeking to explain! Improbability arguments of various 'special' configurations of material particles, which have been a staple of the arguments against neo-Darwinism, simply do not apply since the cause is not within the material particles in the first place! Yet it is also very interesting to note, in Darwinism's inability to explain this 'transcendent quantum effect' adequately, that Theism has always postulated a transcendent component to man that is not constrained by time and space. i.e. Theism has always postulated a 'eternal soul' for man that lives past the death of the body. It is also interesting to note, as I’ve asked atheistic materialists before, which material parameter, exactly, is going to prevent a higher ‘transcendent’ dimension from existing? In fact, exactly which material parameter is going to prevent a ‘highest’ transcendent dimension, inhabited by a highest transcendent Being, from existing? And unlike the multiverse, which materialists conjectured to 'explain away' the extreme fine-tuning of this universe, and which has no empirical evidence to support its postulation in the first place, this ‘higher dimensionality’, which naturally flows from a Theistic worldview, actually does have empirical support!,, Reflections on the ‘infinite transcendent information’ framework: The weight of mass becomes infinite at the speed of light, thus mass will never go the speed of light. As well, mass would disappear from our sight if it could go the speed of light, because, from our non-speed of light perspective, distance in direction of travel will shrink to zero for the mass going the speed of light, whereas conversely, if mass could travel at the speed of light its size will stay the same while all other frames of reference not traveling the speed of light will disappear from its sight. As well time, as we understand it, would come to a stop at the speed of light. To grasp the whole ‘time stopping at the speed of light’ concept more easily, imagine moving away from the face of a clock at the speed of light. Would not the hands on the clock stay stationary as you moved away from the face of the clock at the speed of light? Special Relativity – Time Dilation and Length Contraction – video *******www.youtube****/watch?v=VSRIyDfo_mY For us to hypothetically travel at the speed of light, in this universe, only gets us to first base as far as quantum entanglement, or teleportation, are concerned. That is to say, traveling at the speed of light only gets us to the place where time, as we understand it, comes to complete stop for light, i.e. gets us to the eternal, ‘past and future folding into now’, framework of time. This higher dimension ‘eternal’ inference for the time framework of light is warranted because light is not ‘frozen within time’ yet it is shown that time, as we understand it, does not pass for light. “I’ve just developed a new theory of eternity.” Albert Einstein – The Einstein Factor – Reader’s Digest Also, hypothetically traveling at the speed of light in this universe would be instantaneous travel for the person going at the speed of light. This is because time does not pass for them, but, and this is a big but; this ‘timeless’ travel is still not instantaneous and transcendent to our temporal framework of time, i.e. Speed of light travel, to our temporal frame of reference, is still not completely transcendent of our framework since light appears to take time to travel from our perspective. In information teleportation though the ‘time not passing’, eternal, framework is not only achieved in the speed of light framework/dimension, but also in our temporal framework. That is to say, the instantaneous teleportation/travel of information is instantaneous to both the temporal and speed of light frameworks, not just the speed of light framework. Information teleportation/travel is not limited by time, nor space, in any way, shape or form, in any frame of reference, as light is seemingly limited to us. Thus ‘pure transcendent information’ is shown to be timeless (eternal) and completely transcendent of all material frameworks. Moreover, concluding from all lines of evidence we have now examined; transcendent, eternal, infinite information is indeed real and the framework in which ‘It’ resides is the primary reality (highest dimension) that can exist, (in so far as our limited perception of a primary reality, highest dimension, can be discerned). “An illusion can never go faster than the speed limit of reality” Akiane – Child Prodigy – Artwork homepage – *******www.artakiane****/ – Music video – *******www.metacafe****/watch/4204586 Logic also dictates ‘a decision’ must have been made, by the ‘transcendent, eternal, infinite information’ from the primary timeless (eternal) reality ‘It’ inhabits, in order to purposely create a temporal reality with highly specified, irreducible complex, parameters from a infinite set of possibilities in the proper sequential order. Thus this infinite transcendent information, which is the primary reality of our reality, is shown to be alive by yet another line of evidence besides the necessity for a ‘first mover’ to explain quantum wave collapse. The First Cause Must Be A Personal Being – William Lane Craig – video *******www.metacafe****/w/4813914 I think this video will really get the ‘higher dimensionality’ point across very well: Please compare the similarity of the optical effect, noted at the 3:22 minute mark of the following video, when the 3-Dimensional world ‘folds and collapses’ into a tunnel shape around the direction of travel as an observer moves towards the ‘higher dimension’ of the speed of light, with the ‘light at the end of the tunnel’ reported in very many Near Death Experiences: Traveling At The Speed Of Light – Optical Effects – video *******www.metacafe****/watch/5733303/ Near Death Experience – The Tunnel, The Light, The Life Review – view *******www.metacafe****/watch/4200200/ The NDE and the Tunnel – Kevin Williams’ research conclusions Excerpt: I started to move toward the light. The way I moved, the physics, was completely different than it is here on Earth. It was something I had never felt before and never felt since. It was a whole different sensation of motion. I obviously wasn’t walking or skipping or crawling. I was not floating. I was flowing. I was flowing toward the light. I was accelerating and I knew I was accelerating, but then again, I didn’t really feel the acceleration. I just knew I was accelerating toward the light. Again, the physics was different – the physics of motion of time, space, travel. It was completely different in that tunnel, than it is here on Earth. I came out into the light and when I came out into the light, I realized that I was in heaven.(Barbara Springer) The NDE and the Tunnel – Kevin Williams’ research conclusions Excerpt: I saw a pinpoint of light in the distance. The black mass around me began to take on more of the shape of a tunnel, and I felt myself traveling through it at an even greater speed, rushing toward the light. I was instinctively attracted to it, although again, I felt that others might not. As I approached it, I noticed the figure of a man standing in it, with the light radiating all around him. (Betty Eadie) Speed Of Light – Near Death Experience Tunnel – Turin Shroud – video *******www.vimeo****/18371644 further notes: Euler's Identity - God Created Mathematics - video *******www.metacafe****/watch/4003905 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: *******www.biblemaths****/pag03_pie/ Another transcendent mathematical structure that is found imbedded throughout our reality is Fibonacci's Number; Fibonacci Numbers – Euler’s Identity – The Fingerprint of God - video - (See video description for a look at Euler’s Identity) *******www.metacafe****/watch/5988843/ This following video is very interesting for revealing how difficult it was for mathematicians to actually 'prove' that mathematics was true in the first place: Georg Cantor - The Mathematics Of Infinity - video *******www.metacafe****/watch/4572335 entire video: BBC-Dangerous Knowledge (Part 1-10) *******www.youtube****/watch?v=Cw-zNRNcF90 As you can see, somewhat from the preceding video, mathematics cannot be held to be 'true' unless an assumption for a highest transcendent infinity is held to be true. A highest infinity which Cantor, and even Godel, held to be God. Thus this following formal proof, which was referred to at the end of the preceding video, shows that math cannot be held to be consistently true unless the highest infinity of God is held to be consistently true as a starting assumption: Gödel’s Incompleteness: The #1 Mathematical Breakthrough of the 20th Century Excerpt: Gödel’s Incompleteness Theorem says: “Anything you can draw a circle around cannot explain itself without referring to something outside the circle - something you have to assume to be true but cannot prove "mathematically" to be true.” *******www***smicfingerprints****/blog/incompleteness/ THE GOD OF THE MATHEMATICIANS - DAVID P. GOLDMAN - August 2010 Excerpt: we cannot construct an ontology that makes God dispensable. Secularists can dismiss this as a mere exercise within predefined rules of the game of mathematical logic, but that is sour grapes, for it was the secular side that hoped to substitute logic for God in the first place. Gödel's critique of the continuum hypothesis has the same implication as his incompleteness theorems: Mathematics never will create the sort of closed system that sorts reality into neat boxes. *******www.faqs****/periodicals/201008/2080027241.html This following site is a easy to use, and understand, interactive website that takes the user through what is termed 'Presuppositional apologetics'. The website clearly shows that our use of the laws of logic, mathematics, science and morality cannot be accounted for unless we believe in a God who guarantees our perceptions and reasoning are trustworthy in the first place. Proof That God Exists - easy to use interactive website *******www.proofthatgodexists****/index.php Nuclear Strength Apologetics – Presuppositional Apologetics – video *******www.answersingenesis****/media/video/ondemand/nuclear-strength-apologetics/nuclear-strength-apologetics Materialism simply dissolves into absurdity when pushed to extremes and certainly offers no guarantee to us for believing our perceptions and reasoning within science are trustworthy in the first place: Dr. Bruce Gordon - The Absurdity Of The Multiverse & Materialism in General - video *******www.metacafe****/watch/5318486/ Little known by most people is the fact that almost every, if not every, major branch of modern science has been founded by a scientist who believed in Christ: Christianity and The Birth of Science - Michael Bumbulis, Ph.D Excerpt: Furthermore, many of these founders of science lived at a time when others publicly expressed views quite contrary to Christianity - Hume, Hobbes, Darwin, etc. When Boyle argues against Hobbe's materialism or Kelvin argues against Darwin's assumptions, you don't have a case of "closet atheists." *******ldolphin****/bumbulis/ Christianity Gave Birth To Each Scientific Discipline - Dr. Henry Fritz Schaefer - video *******vimeo****/16523153 In this short video, Dr. Stephen Meyer notes that the early scientists were Christians whose faith motivated them to learn more about their Creator… Dr. Meyer on the Christian History of Science - video *******www.thetruthproject****/about/culturefocus/A000000287.cfm A Short List Of The Christian Founders Of Modern Science *******www.creationsafaris****/wgcs_toc.htm Intelligent Design - The Anthropic Hypothesis *******lettherebelight-77.blogspot****/2009/10/intelligent-design-anthropic-hypothesis_19.html
2 Apr 2011
3264
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2:01
The 'Spirituality' of Mathematics An atheist recently claimed, in response to my observation that mathematics must ultimately be based in God, that: "maths just is" Well, contrary to this commonly held belief that 'maths just is', the belief that 'maths just is' is now demonstrably false. First to be noted, there is a profound epistemological mystery as to why our minds should even be able to grasp and understand reality through the enterprise of mathematics in the first place: Epistemology – Why Should The Human Mind Even Be Able To Comprehend Reality? – Stephen Meyer - video – (Notes in description) *******vimeo****/32145998 "You find it strange that I consider the comprehensibility of the world (to the extent that we are authorized to speak of such a comprehensibility) as a miracle or as an eternal mystery. Well, a priori, one should expect a chaotic world, which cannot be grasped by the mind in any way.. the kind of order created by Newton's theory of gravitation, for example, is wholly different. Even if a man proposes the axioms of the theory, the success of such a project presupposes a high degree of ordering of the objective world, and this could not be expected a priori. That is the 'miracle' which is constantly reinforced as our knowledge expands." Albert Einstein - Goldman - Letters to Solovine p 131. The Unreasonable Effectiveness of Mathematics in the Natural Sciences - Eugene Wigner - 1960 Excerpt: ,,certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess.,,, It is difficult to avoid the impression that a miracle confronts us here, quite comparable in its striking nature to the miracle that the human mind can string a thousand arguments together without getting itself into contradictions, or to the two miracles of the existence of laws of nature and of the human mind's capacity to divine them.,,, 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. *******www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html Second, in the last century, Godel showed mathematics to be 'incomplete': Kurt Gödel – Incompleteness Theorem – video *******www.metacafe****/w/8462821 THE GOD OF THE MATHEMATICIANS - DAVID P. GOLDMAN - August 2010 Excerpt: we cannot construct an ontology that makes God dispensable. Secularists can dismiss this as a mere exercise within predefined rules of the game of mathematical logic, but that is sour grapes, for it was the secular side that hoped to substitute logic for God in the first place. Gödel's critique of the continuum hypothesis has the same implication as his incompleteness theorems: Mathematics never will create the sort of closed system that sorts reality into neat boxes. *******www.firstthings****/article/2010/07/the-god-of-the-mathematicians 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). *******www.answersingenesis****/articles/am/v7/n1/equation# In other words, the truthfulness of any given mathematical equation is not found within the equation itself, but the truthfulness of any given mathematical equation, and indeed of all of math, must be derived from a source outside of the equation(s). Moreover, being that mathematical equations are completely transcendent of any space-time constraints, (i.e. mathematical equations are always true no matter what part of the universe you are in and are true regardless of whatever year it happens to be), then this outside source (cause) that guarantees the truthfulness of any mathematical equation must also be transcendent of any space-time constraints. Also of note, Godel's incompleteness theorem is hardly the only line of argumentation in this line of thought: Not Understanding Nothing – A review of A Universe from Nothing – Edward Feser - June 2012 Excerpt: A critic might reasonably question the arguments for a divine first cause of the cosmos. But to ask “What caused God?” misses the whole reason classical philosophers thought his existence necessary in the first place. So when physicist Lawrence Krauss begins his new book by suggesting that to ask “Who created the creator?” suffices to dispatch traditional philosophical theology, we know it isn’t going to end well. ,,, ,,, But Krauss simply can’t see the “difference between arguing in favor of an eternally existing creator versus an eternally existing universe without one.” The difference, as the reader of Aristotle or Aquinas knows, is that the universe changes while the unmoved mover does not, or, as the Neoplatonist can tell you, that the universe is made up of parts while its source is absolutely one; or, as Leibniz could tell you, that the universe is contingent and God absolutely necessary. There is thus a principled reason for regarding God rather than the universe as the terminus of explanation. *******www.firstthings****/article/2012/05/not-understanding-nothing But of more interest as to drawing out the 'spirituality of mathematics', and refuting the 'maths just is' conception of mathematics, it is worthwhile to focus in on the Schroedinger equation: Finely Tuned Big Bang, Elvis In The Multiverse, and the Schroedinger Equation – Granville Sewell – audio *******www.metacafe****/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. Of note: 'The Word' in Greek is Logos. Logos is the root word from which we derive our modern word 'logic'. But the mystery of the Schroedinger equation goes even deeper to reveal 'the spirituality of mathematics'. Wheeler's Classic Delayed Choice Experiment: Excerpt: Now, for many billions of years the photon is in transit in region 3. Yet we can choose (many billions of years later) which experimental set up to employ – the single wide-focus, or the two narrowly focused instruments. We have chosen whether to know which side of the galaxy the photon passed by (by choosing whether to use the two-telescope set up or not, which are the instruments that would give us the information about which side of the galaxy the photon passed). We have delayed this choice until a time long after the particles "have passed by one side of the galaxy, or the other side of the galaxy, or both sides of the galaxy," so to speak. Yet, it seems paradoxically that our later choice of whether to obtain this information determines which side of the galaxy the light passed, so to speak, billions of years ago. So it seems that time has nothing to do with effects of quantum mechanics. And, indeed, the original thought experiment was not based on any analysis of how particles evolve and behave over time – it was based on the mathematics. This is what the mathematics predicted for a result, and this is exactly the result obtained in the laboratory. *******www.bottomlayer****/bottom/basic_delayed_choice.htm "Thus one decides the photon shall have come by one route or by both routes after it has already done its travel" John A. Wheeler Alain Aspect speaks on John Wheeler's Delayed Choice Experiment - video *******vimeo****/38508798 Genesis, Quantum Physics and Reality Excerpt: Simply put, an experiment on Earth can be made in such a way that it determines if one photon comes along either on the right or the left side or if it comes (as a wave) along both sides of the gravitational lens (of the galaxy) at the same time. However, how could the photons have known billions of years ago that someday there would be an earth with inhabitants on it, making just this experiment? ,,, This is big trouble for the multi-universe theory and for the "hidden-variables" approach. *******www.asa3****/ASA/PSCF/2000/PSCF3-00Zoeller-Greer.html.ori Moreover, Wheeler's Delayed Choice Experiment - 2010 Excerpt: The Delayed Choice experiment changes the boundary conditions of the Schrodinger equation after the particle enters the first beamsplitter. *******www.physics.drexel.edu/~bob/TermPapers/WheelerDelayed.pdf But why should a mathematical equation even care when I decide to implement boundary conditions to look at a particle? Mathematical equations can't care about anything! Only God can care if and when I decide to look at any particular particle! In fact, 'the spirituality of mathematics' has now been revealed to a even deeper level through recent quantum entanglement experiments. The foundation of quantum mechanics within science is now so solid that researchers were able to bring forth this following proof from quantum entanglement experiments; An experimental test of all theories with predictive power beyond quantum theory – May 2011 Excerpt: More precisely, we perform various measurements (conscious observations) on distant entangled photons, and, under the assumption that these measurements (conscious observations) are freely chosen (free will), we give a upper bound on how well any alternative theory could predict their outcomes.,,,, Hence, we can immediately refute any already considered or yet-to-be-proposed alternative model with more predictive power than this (Quantum Theory). *******arxiv****/pdf/1105.0133.pdf Can quantum theory be improved? - July 23, 2012 Excerpt: However, in the new paper, the physicists have experimentally demonstrated that there cannot exist any alternative theory that increases the predictive probability of quantum theory by more than 0.165, with the only assumption being that measurement (conscious observation) parameters can be chosen independently (free will assumption) of the other parameters of the theory.,,, ,, the experimental results provide the tightest constraints yet on alternatives to quantum theory.,,, *******phys****/news/2012-07-quantum-theory.html Now this is completely unheard of in science as far as I know. i.e. That a mathematical description of reality would advance to the point that one can actually perform a experiment showing that your current mathematical theory will not be exceeded in predictive power by another future mathematical theory is simply unprecedented in the history of science! It is, in my unsolicited opinion, a very significant milestone in the history of science! Moreover, the belief that 'maths just is' is simply completely demolished by the fact that our best mathematical description of reality is absolutely dependent on the starting assumptions of conscious observation and free will. Moreover, since our best mathematical description of reality requires conscious observation and free will as starting assumptions, then this necessarily implies that consciousness and free will precede the mathematical equation. Of note: since our free will choices figure so prominently in how reality is actually found to be constructed in our understanding of quantum mechanics, I think a Christian perspective on just how important our choices are in this temporal life, in regards to our eternal destiny, is very fitting: Is God Good? (Free will and the problem of evil) - video *******www.youtube****/watch?v=Rfd_1UAjeIA i.e. God gives us a ‘free will’ because without true free will it is impossible to have true love. i.e. How much love would you feel if you made a robot to tell you how much it loves you? Music and Verse: Third Day – Trust In Jesus *******www.youtube****/watch?v=0o-ipsw161E Deuteronomy 30:19 I call heaven and earth to witness against you today, that I have set before you life and death, blessing and curse. Therefore choose life, that you and your offspring may live, Ravi Zacharias - How To Measure Your Choices - video *******www.youtube****/watch?v=5Op_S5syhKI Dr Zacharias states, you must measure your choices by the measure of: 1) eternity 2) morality 3) accountability 4) charity A few more notes on the ‘spirituality of math’: It is interesting to note that ‘higher dimensional’ mathematics had to be developed before Einstein could elucidate General Relativity, or even before Quantum Mechanics could be elucidated; The Mathematics Of Higher Dimensionality – Gauss and Riemann – video *******www.metacafe****/watch/6199520/ Centrality of Earth Within The 4-Dimensional Space-Time of General Relativity – video *******www.metacafe****/w/8421879 Dr. Quantum – Double Slit Experiment & Entanglement – video *******www.metacafe****/watch/4096579 The Unreasonable Effectiveness of Mathematics in the Natural Sciences – Eugene Wigner – 1960 Excerpt: We now have, in physics, two theories of great power and interest: the theory of quantum phenomena and the theory of relativity.,,, The two theories operate with different mathematical concepts: the four dimensional Riemann space and the infinite dimensional Hilbert space, *******www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html When one looks at the 4-D space time of relativity, and the centrality of conscious observation in quantum mechanics, a very interesting ‘anomaly’ pops out: The Galileo Affair and the true “Center of the Universe” Excerpt: I find it extremely interesting, and strange, that quantum mechanics tells us that instantaneous quantum wave collapse to its ‘uncertain’ 3-D state is centered on each individual observer in the universe, whereas, 4-D space-time cosmology (General Relativity) tells us each 3-D point in the universe is central to the expansion of the universe. These findings of modern science are pretty much exactly what we would expect to see if this universe were indeed created, and sustained, from a higher dimension by a omniscient, omnipotent, omnipresent, eternal Being who knows everything that is happening everywhere in the universe at the same time. These findings certainly seem to go to the very heart of the age old question asked of many parents by their children, “How can God hear everybody’s prayers at the same time?”,,, i.e. Why should the expansion of the universe, or the quantum wave collapse of the entire universe, even care that you or I, or anyone else, should exist? Only Theism offers a rational explanation as to why you or I, or anyone else, should have such undeserved significance in such a vast universe: Psalm 33:13-15 The LORD looks from heaven; He sees all the sons of men. From the place of His dwelling He looks on all the inhabitants of the earth; He fashions their hearts individually; He considers all their works. ********docs.google****/document/d/1BHAcvrc913SgnPcDohwkPnN4kMJ9EDX-JJSkjc4AXmA/edit The following is another very ‘spiritual’ finding from mathematics: The Scale of The Universe – Part 2 – interactive graph (recently updated in 2012 with cool features) *******htwins****/scale2/?bordercolor=white The preceding interactive graph points out that the smallest scale visible to the human eye (as well as a human egg) is at 10^-4 meters, which ‘just so happens’ to be directly in the exponential center of all possible sizes of our physical reality (not just ‘nearly’ in the exponential center!). i.e. 10^-4 is, exponentially, right in the middle of 10^-35 meters, which is the smallest possible unit of length, which is Planck length, and 10^27 meters, which is the largest possible unit of ‘observable’ length since space-time was created in the Big Bang, which is the diameter of the universe. This is very interesting for, as far as I can tell, the limits to human vision (as well as the size of the human egg) could have, theoretically, been at very different positions than directly in the exponential middle; Here is another finding from mathematics that has very strong ‘spiritual’ implications: There is also a very mysterious ‘higher dimensional’ component found in life: The predominance of quarter-power (4-D) scaling in biology Excerpt: Many fundamental characteristics of organisms scale with body size as power laws of the form: Y = Yo M^b, where Y is some characteristic such as metabolic rate, stride length or life span, Yo is a normalization constant, M is body mass and b is the allometric scaling exponent. A longstanding puzzle in biology is why the exponent b is usually some simple multiple of 1/4 (4-Dimensional scaling) rather than a multiple of 1/3, as would be expected from Euclidean (3-Dimensional) scaling. *******www.nceas.ucsb.edu/~drewa/pubs/savage_v_2004_f18_257.pdf “Although living things occupy a three-dimensional space, their internal physiology and anatomy operate as if they were four-dimensional. Quarter-power scaling laws are perhaps as universal and as uniquely biological as the biochemical pathways of metabolism, the structure and function of the genetic code and the process of natural selection.,,, The conclusion here is inescapable, that the driving force for these invariant scaling laws cannot have been natural selection.” Jerry Fodor and Massimo Piatelli-Palmarini, What Darwin Got Wrong (London: Profile Books, 2010), p. 78-79 Though Jerry Fodor and Massimo Piatelli-Palmarini rightly find it inexplicable for ‘random’ Natural Selection to be the rational explanation for the invariant scaling of the physiology, and anatomy, of living things to four-dimensional parameters, they do not seem to fully realize the implications this ‘four dimensional scaling’ of living things presents. This 4-D scaling is something we should rightly expect from a Intelligent Design perspective. This is because Intelligent Design holds that ‘higher dimensional transcendent information’ is more foundational to life, and even to the universe itself, than either matter or energy are. This higher dimensional ‘expectation’ for life, from a Intelligent Design perspective, is directly opposed to the expectation of the Darwinian framework, which holds that information, and indeed even the essence of life itself, is merely an ‘emergent’ property of the 3-D material realm. Earth’s crammed with heaven, And every common bush afire with God; But only he who sees, takes off his shoes, The rest sit round it and pluck blackberries. – Elizabeth Barrett Browning Music and verse: YOU ARE GOD ALONE, Philips, Craig and Dean *******www.youtube****/watch?v=OICArFHAa9c Revelation 4:11 Thou art worthy, O Lord, to receive glory and honour and power: for thou hast created all things, and for thy pleasure they are and were created. Here is the entire video: Is Faith in God Reasonable? FULL DEBATE with William Lane Craig and Alex Rosenberg - video *******www.youtube****/watch?v=bhfkhq-CM84 Let There Be Light - Intelligent Design *******lettherebelight-77.blogspot****/2012/02/let-there-be-light.html
3 Feb 2013
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