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Topic: Soul theorem

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	Shambhala Meditation and Healing Tools & Music - For Personal and Planetary Healing
		The Science of Soul Therapy is Metatronics, the natural laws of sacred geomancy, the simple universal forms found at the heart of nature and reflected in all world religions though the sacred forms of churches, temples, and stupas.
		It is the awakening Soul who must be aware of the Monad, and all the illusion of the masters of wisdom and the structures of hierarchy, religious or otherwise, will not be weighed against our Soul.
		Pythagoras studied the hypothesis of the Soul and its transmigration and self-realized the theorem of the 5 Platonic solids and the 7 notes or octaves.
	www.shambhalahealingtools.com /AboutUs.asp (2393 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		Soul, a spiritual substance, which animates the bodies of living creatures: it is the principle of life and activity within them.
		That the soul is an immaterial substance appears from hence, that its primary operations of willing and thinking have not only no connection with the known properties of body, but seem plainly inconsistent with some of its most essential qualities. For the mind discovers no relation between thinking and the motion and arrangements of parts.
		For a soul to be immortal, it must either be resident in an immortal host, or it must be able to survive the mortality of each member of a sequence of hosts. Since the soul is an informational construct…. ….Of course, it all depends on the temperature….
	www.digitalphilosophy.org /on_the_soul.htm (3089 words)

	Returning Soul to Astrology
		And thereby we suffer the untethered elevation of spirit and the degradation of matter as reflected in the deterioration of the environment, the despising of the body, shoddy materialism, the oppression of women, and substance abuse.
		I raise this issue of soul and astrology because of my position that astrology is an imaginal discipline that is more closely related to religion than it is to science; more related to poetry, fiction, and myth than to theorem, fact, and equation.
		Soul moves at its own pace and cannot be rushed or forced, only presented with opportunities for its making.
	www.innerself.com /Astrology/soul_astrology.htm (2242 words)

	The Soul and its destiny
		Attached to the body, the individual soul is a victim of the pairs of the opposites.
		The embodied soul is associated with the sense organs, the mind and vital breath (Prana).
		Stapp contends that Bell's Theorem is the most important result in the history of science, and that it demonstrates the effect of human consciousness at the level of Macrocosm.
	www.hinduism.co.za /thesoul.htm (1481 words)

	Concerning the Soul
		This soul, if the pregnancy continues and progresses, remains attached to her sphere, but does not enter the embryo until the time of quickening, when it usually takes possession of the body, and continues to inhabit it until the time of delivery.
		Or, the soul, which has been attracted to her, may, under new influences, be withdrawn from her sphere, and from the embryo which, having quickened, may consume away; or, the soul originally drawn to her orbit may be replaced later by another, and so forth.
		The soul, as I have said, is formed by polarisation of the elements of the astral body, and it is a gradual process; but when once formed it is art entity capable of passing from one body to another.
	www.thenazareneway.com /concerning_the_soul.htm (2875 words)

	Soul theorem - Wikipedia, the free encyclopedia
		In mathematics, the soul theorem is the following theorem of Riemannian geometry:
		Cheeger and Gromoll (1972) proved the theorem by generalizing a result in Gromoll and Meyer (1969).
		Grigory Perelman (1994) "Proof of the soul conjecture of Cheeger and Gromoll," J.
	en.wikipedia.org /wiki/Soul_theorem (216 words)

	Online Etymology Dictionary
		Hence Soul music, essentially gospel music with "girl" in place of "Jesus," etc., first attested 1961; William James used the term in 1900, in a spiritual/romantic sense, but in ref. to inner music.
		In this country satire never had more than a sickly and uncertain existence, for the soul of it is wit, wherein we are dolefully deficient, the humor that we mistake for it, like all humor, being tolerant and sympathetic.
		The reclamation of the word as a neutral or positive term in fl culture, often with a suggestion of "soul" or "style," is attested first in the Amer.
	www.etymonline.com /index.php?search=soul&searchmode=none (3063 words)

	The Nature of Body Spirit & Soul, Telepathy
		The soul progresses through levels of awareness culminating in the humans, which sits at the apex of the incarnation of the physical manifestation of the soul.
		Your individual soul while in this incarnation is a holographic representation of the master soul still residing in the higher energy levels we humans refer to as heaven.
		Before the soul chooses a body for it to incarnate in, careful consideration is given to the attributes of the physical body.
	www.mountainvalleycenter.com /wellnessdoc1.htm (3900 words)

	Monas Hieroglyphica ('The Hieroglyphic Monad') of John Dee
		THEOREM IV Although the semicircle of the Moon is placed above the circle of the Sun and would appear to be superior, nevertheless we know that the Sun is ruler and King.
		THEOREM XI The mystical sign of the Ram, composed of two semicircles connected by one common point, is very justly attributed to the place of the equinoctial nycthemeron, because the period of twenty-four hours divided by means of the equinox denotes most secret proportions.
		THEOREM XX We have shown sufficiently that for very good reasons the Elements are represented in our Hieroglyph by the straight lines, therefore we give a very exact speculation concerning the point which we place in the centre of our Cross.
	www.esotericarchives.com /dee/monad.htm (6595 words)

	Grad course descriptions
		Fundamentals of smooth manifolds, Sard's theorem, Whitney's embedding theorem, transversality theorem, piecewise linear and topological manifolds, knot theory.
		Theory of fibre bundles and classifying spaces, fibrations, spectral sequences, obstruction theory, Postnikov towers, transversality, cobordism, index theorems, embedding and immersion theories, homotopy spheres and possibly an introduction to surgery theory and the general classification of manifolds.
		Analytic spaces, Stein spaces, approximation theorems, embedding theorems, coherent analytic sheaves, Theorems A and B of Cartan, applications to the Cousin problems, and the theory of Banach algebras, pseudoconvexity and the Levi problems.
	www.math.upenn.edu /grad/courses.html (2365 words)

	Soul and its Destiny
		The first (which is called Jivatman; embodied soul) is endued with the four attributes already mentioned, and has a longing for the four objects or purposes (viz., Religion, Wealth, Pleasure and Emancipation).
		This soul is called Manifest, and it is born of the Unmanifest (Supreme Soul).
		Both kinds of Soul, it is said in the Vedas, become attached to objects of the senses.
	www.hinduism.co.za /soul&its.htm (1543 words)

	Nonstandard Mathematics and a Doctrine of God (Site not responding. Last check: 2007-10-18)
		The soul or mind contains something eternal, namely science, which in turn contains the unchanging mathematical structure that a line drawn through the midpoint of a circle is greater than any line not drawn through the midpoint, and hence is eternal itself.
		The soul A includes (contains) science B which contains an eternal truth of mathematics C. A cannot be totally destroyed or eliminated without eliminating both the subsets B and C. Thus, the guaranteed or eternal existence of C entails the conclusion that the soul can never be ultimately or completely destroyed.
		This theorem is an effective proof by metamathematical considerations that arithmetic is essentially incomplete: that not only are there true theorems in arithmetic that cannot be proved from the axioms of arithmetic but also that no matter how many axioms are added there always remain true theorems that cannot be proved.
	www.religion-online.org /showarticle.asp?title=2408 (5418 words)

	Pythagoras - Crystalinks
		The Pythagorean theorem that bears his name was known earlier in Mesopotamia, Egypt and India.
		Whether Pythagoras himself proved this theorem is not known, as it was common in the ancient world to credit to a famous teacher the discoveries of his students.
		The Pythagoreans are known for their theory of the transmigration of souls, and also for their theory that numbers constitute the true nature of things.
	www.crystalinks.com /pythagoras.html (980 words)

	2006-2007 Course Register
		Continuation of Math 508. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus.
		Differentiable functions, inverse and implicit function theorems. Theory of manifolds: differentiable manifolds, charts, tangent bundles, transversality, Sard's theorem, vector and tensor fields and differential forms: Frobenius' theorem, integration on manifolds, Stokes' theorem in n dimensions, de Rham cohomology. Introduction to Lie groups and Lie group actions.
		Continuation of Math 696. Topics may include the family index theorem, equivariant cohomology and loop spaces, the homological algebra of BRST invariance and the Wess-Zumino consistency condition, the descent equations, and worldsheet anomalies in string theory.
	www.upenn.edu /registrar/register/math.html (4476 words)

	Catholic Community Forum Discussion Groups - Can the Happiness of Souls in Heaven be Increased?
		In 1994, the theorem was proven by the Princeton mathematician Andrew Wiles, using mathematical tools that didn't exist in Fermat's time (that's how we know Fermat didn't really discover a proof -- he couldn't have, given the state of mathematics in the seventeenth century).
		And it's nice to think (and pretty much religiously mandatory, of course) that our souls are all individual and unique, and that Fermat, having the soul of a great mathematician, would be made happier by Wiles' proof of his theorem.
		Yes, but my question was whether the soul of the mathematician could be made happier because he knew that other mathematicians, here on earth, had proved his theorem.
	www.catholic-forum.com /forums/printthread.php?t=1458 (1421 words)

	Godel vs. Artificial Intelligence
		A theorem is any string which can be can be derived from the axiom(s) by applying zero or more of the rules of inference in succession to the axiom(s).
		This string (called G[9]) is interpreted as "this string is not a theorem of formal system X," where X represents the formal system in question.
		Thus, the negation of a HLS theorem is called "false." It is generally held, although Gödel's Second Theorem[20] says it cannot be proved, that HLS is consistent.
	www.sdsc.edu /~jeff/Godel_vs_AI.html (2435 words)

	Crafts : Walls : Theorem Wall Hanging : Home & Garden Television
		Center theorem stencil layer #1 on the paper and secure with lightweight masking tape.
		Follow theorem stencil painting instructions for "Heart and Soul" using chalk pastels (figures A, B and C).
		Upon completion of the theorem design, seal with protective sealer and let dry per manufacturer instructions.
	www.hgtv.com /hgtv/cr_stamping_walls/article/0,1789,HGTV_3345_1385226,00.html (321 words)

	Spirit-union Allows for Soul-rest
		When spirit and soul and body are distinguished, this has often been called the trichotomous or tripartite understanding of man's constitution.
		The final phrase, "rest for your souls," appears to be an allusion to the prophecy of Jeremiah (6:16).
		The human will within the soul, the psychological function of man, is where we choose and decide how we will act within the context of our willingness to be receptive and contingently derivative from a source beyond ourselves.
	www.christinyou.net /pages/spiritunionsoulrest.html (14249 words)

	Fermat's Last Theorem: Archimedes
		The purpose of this blog is to present the story behind Fermat's Last Theorem and Wiles' proof in a way accessible to the mathematical amateur.
		He invented the compound pulley, the law of the lever, he found a method for estimating the weight of an object immersed in a liquid, he came up with the concept of center of gravity.
		His favorite theorem was that the volume of a sphere is two-thirds the volume of a circumscribed cylinder.
	fermatslasttheorem.blogspot.com /2006/04/archimedes.html (698 words)

	The Pythagoreans
		The core of the religious doctrine was that the soul -- the pure and noble part of us -- is mired in the body, from which it longs to escape.
		However, Plutarch claims that the sacrifice was given after the discovery of a much more difficult theorem: the proof that it is possible to construct (i.e., with straight-edge and compass) a triangle equal in area to one given triangle and similar to another given triangle.
		The soul, indeed, was conceived of as a sort of atunement.
	brindedcow.umd.edu /105/pythagoras.html (2570 words)

	[No title]
		In the middle of 80, trying to generalize the AH vanishing theorem, Landweber, Stong, Ochanine introduced "elliptic genus", and they defined a new cohomology theory so call "ellitpic cohomology" by using their "elliptic genus".
		Witten rigidity theorem says that their elliptic genus is rigid with respect to $S^1$ action (i.e.
		Abstract: According to the soul theorem of Cheeger and Gromoll, any complete open manifold of nonnegative sectional curvature is diffeomorphic to the normal bundle of its compact totally geodesic submanifold which is called the soul.
	www.math.ucsb.edu /~wei/dgs00.html (1161 words)

	The Way We Eat: The Ancients (Site not responding. Last check: 2007-10-18)
		This era in history, around 500 BCE, has been referred to as the beginning of the Age of Reason and it is undoubtedly significant that two of its greatest thinkers took exception to the standard dietary habits of their time.
		This theorem was, in fact, previously known in Babylonia where Pythagoras was believed to have traveled in his youth, but Pythagoras is given credit for being the first to prove the theorem.
		They believed in the immortality of the soul and its separateness from the body and that the soul is reincarnated many times over, until it completes a prescribed cycle.
	mysite.verizon.net /richlord/food4peace/theancients.html (2636 words)

	Extension of All Souls Theorem
		There are others ways than freezing, but for our theorem, all we are interested in is going to some far enough future where science is able to stop all the molecules in the body at once.
		But regardless, all we are saying in the theorem is that at some time in the future, somehow it will be possible to stop all the molecules in the body at the same time, and also at a later date, start all the molecules back up.
		The result of theorem G is still the fact that the state of death is in a very profound sense identical to the state of being cryogenicized with the certainty that you will be brought back to life.
	www.theuniverseandbeing.com /all_souls_theorem_extended.htm (8642 words)

	www.myspace.com/theoremnyc
		The guys of Theorem - vocalist Darren Galvani, guitarist Richie Toto, bassist Nino Valenti and drummer Chris Loggia - have been hitting the NY area with shows that engage every member and calls for people to drop their drinks and bang alongside with the best of them.
		Lacking the connection to meld all of their varying influences and interests, the guys of Theorem went on a search for a new lead singer, eventually landing vocalist Darren Galvani in 1999.
		Theorem has set out to prove that rock is more than just screaming into a microphone and deafening your audience.
	www.myspace.com /theoremnyc (708 words)

	Game Theorem
		These sad souls are frustrated with the role-players who, they feel, slow the game with wordy explanations of simple game mechanics.
		This is the heart and soul of the role-playing.
		This is the reason for the game, not the how high you can rack up statistics.
	gametheorem.blogspot.com (1644 words)

	Goedel's Theorem and Information
		A great many different proofs of Gödel's theorem are now known, and the result is now considered easy to prove and almost obvious: It is equivalent to the unsolvability of the halting problem, or alternatively to the assertion that there is an r.e.
		Gödel's original proof of the incompleteness theorem is based on the paradox of the liar: ``This statement is false.'' He obtains a theorem instead of a paradox by changing this to: ``This statement is unprovable.'' If this assertion is unprovable, then it is true, and the formalization of number theory in question is incomplete.
		These traditional proofs of Gödel's incompleteness theorem show that formal axiomatic systems are incomplete, but they do not suggest ways to measure the power of formal axiomatic systems, to rank their degree of completeness or incompleteness.
	www.cs.umaine.edu /~chaitin/georgia.html (5536 words)

	[No title]
		The soul theorem implies that * every complete, non-compact manifold with non-negative sectional curvature is diffeomorphic to *a vector bundle over a compact manifold with non-negative curvature.
		Theorems A and B are now easy consequences of E and F in conjunction with the* * Gray- O'Neill curvature formula for submersions.
		This is also why Theorem E and F, together with the O'Neill submersion formula,* * implies Theorem B. To employ the methods of Section 1 we begin by describing the well known coho* mogeneity one action by SO(3) on S4 in a language that will be needed for our constructio *n of principal bundles.
	www.math.purdue.edu /research/atopology/Grove-Ziller/groveziller.txt (12839 words)

	Protagoras-Plato-1
		A right angle can be defined here as the angle formed when two straight lines cross each other in such a way that all 4 angles produced are equal.
		The theorem also works the other way around: if the lengths of the three sides (a,b,c) of a triangle satisfy the above relation, then the angle between sides a and b must be of 90 degrees.
		The first record of the use of a monochord to demonstrate this phenomenon was by Euclid (c.
	www.msu.edu /~puhek/miem/Protagoras-Plato-1.html (507 words)

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