21. General Chemistry Online: FAQ: The Quantum Theory A searchable database of frequently asked questions from the The quantum theory section of General Chemistry Online. The quantum theory. http://antoine.frostburg.edu/chem/senese/101/quantum/faq.shtml

Home Common Compounds Exam Guide FAQ Features Glossary Companion Notes Just Ask Antoine! ... Gases The quantum theory Electrons in atoms The periodic table Chemical bonds Solids ... FAQ The quantum theory: Frequently asked questions Particle in a box How does electron confinement in an ion or molecule affect its color? Radiation and matter What makes a compound optically active? How is photoelectron energy related to excitation wavelength? The uncertainty principle If electrons can't be confined to the nucleus, why does K-electron capture occur? Why don't electrons get stuck in the nucleus? Sign up for a free monthly newsletter describing updates, new features, and changes on this site. Details General Chemistry Online! The quantum theory: Frequently asked questions Fred Senese senese@antoine.frostburg.edu Last Revised 02/28/04.URL: http://antoine.frostburg.edu/chem/senese/101/quantum/faq.shtml

22. 100 Jahre Quantentheorie A symposium and celebration held in Berlin, Germany in December 2000 celebrating the 100th anniversary of Max Planck's famous lecture on the theory of black body radiation. http://www.dpg-physik.de/kalender/qt100/

100 Jahre Quantentheorie Bitte updaten Sie Ihren Browser entsprechend. Unterseiten: lokale Navigation (linker Frame) Inhalt (rechter Frame)

23. Quantum Theory And Wave/Particle Duality quantum theory and Wave/Particle Duality. A So how does this Fourier pattern in the scattering momentum relate to quantum theory? The http://www.geocities.com/CapeCanaveral/Hangar/7423/wpd.html

Quantum Theory and Wave/Particle Duality A work in Progress; modified: 7-March-2001 Many interpretations of quantum physics incorporate the idea that particles (or some property associated with particles) propagate as waves. The object of this article is to examine the core assumptions behind this wave/particle idea with a view to developing a different model that is consistent with relativity, observation and the mathematical formalism. John K. N. Murphy , Kohimarama, Auckland, New Zealand. Home Page Site Index About MySelf Sign Guestbook ... View Guestbook Contents Comments and feedback welcome - E- Mail John Murphy 1.0 Introduction 1.1 Basic Issues 1.2 Generating a New Approach ... 5.0 The Ahranhov-Bohm Effect 1.0 Introduction Next Essentially, wave/particle duality employs the notion that an entity simultaneously possesses localized (particle) and distributed (wave) properties. The idea has been introduced into modern physics to account for observations in which particles of matter interact to produce effects that appear to be identical to the effects that occur when waves diffract and interfere. However, the concept of rests on an assumption. It is assumed that wave propagation mechanisms can provide the only possible explanation for scattering effects observed in experiments such as the Twin Slit experiment.

24. M-theory, The Theory Formerly Known As Strings But since we cannot build a consistent quantum theory from GR, several puzzles were raised concerning the microscopic physics of black holes. http://www.damtp.cam.ac.uk/user/gr/public/qg_ss.html

M-theory, the theory formerly known as Strings The Standard Model In the standard model of particle physics, particles are considered to be points moving through space, tracing out a line called the World Line. To take into account the different interactions observed in Nature one has to provide particles with more degrees of freedom than only their position and velocity, such as mass, electric charge, color (which is the "charge" associated with the strong interaction) or spin. String Theory In String Theory, the myriad of particle types is replaced by a single fundamental building block, a `string'. These strings can be closed, like loops, or open, like a hair. As the string moves through time it traces out a tube or a sheet, according to whether it is closed or open. Furthermore, the string is free to vibrate, and different vibrational modes of the string represent the different particle types, since different modes are seen as different masses or spins. One mode of vibration, or `note', makes the string appear as an electron, another as a photon. There is even a mode describing the graviton, the particle carrying the force of gravity, which is an important reason why String Theory has received so much attention. The point is that we can make sense of the interaction of two gravitons in String theory in a way we could not in QFT. There are no infinities! And gravity is not something we put in by hand. It has to be there in a theory of strings. So, the first great achievement of String Theory was to give a consistent theory of quantum gravity, which resembles GR at macroscopic distances. Moreover String Theory also possesses the necessary degrees of freedom to describe the other interactions! At this point a great hope was created that String Theory would be able to unify all the known forces and particles together into a single `Theory of Everything'.

25. The Theory Of Distance-Time Defining space and time in the literal way we experience it via particles-I create a quantum theory of space and time. http://www.comcity.com/distance-time

The Theory Of Distance-Time A quantum theory of space and time that defines distance as equivalent to a period of time (D=cT) and claims to be more accurate than special relativity. by Keith Maxwell Hardy Table of Contents Abstract 1. Introduction 2. Preparation Of Perspective 3A. Distance-Time Theory Part I ... References (see more links below) Click here to down load distance-time theory file (D=cT.PDF) for acrobat reader Click here to email the author of distance-time theory. It took me 14 years to create and write this theory, and you thought you did not have a life. Brother, I have got you beat. I have made a few minor corrections, since I first published my paper to the internet. These corrections have not changed my theory. I slightly rewrote the example given in the fourth paragraph of subsection 4.1. The other few corrections were typographical. I made these updates in late November 1998 Because some people struggle to understand space as defined in distance-time theory, I added Appendix A in August 2002. This section further illustrates the difference between distance-time's and special relativity's views of space . The Theory of Distance-Time by Keith Maxwell Hardy Richmond California U.S.A., 94801

26. Quantum Theory. The Columbia Encyclopedia, Sixth Edition. 2001 2001. quantum theory. modern According to the quantum theory, energy is held to be emitted and absorbed in tiny, discrete amounts. An http://www.bartleby.com/65/qu/quantumt.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. quantum theory modern physical theory concerned with the emission and absorption of energy by matter and with the motion of material particles; the quantum theory and the theory of

27. PhysicsWeb - Quantum Theory: Weird And Wonderful quantum theory weird and wonderful Feature December 1999. Quantum mechanics is a great deal more than a theory; it is a whole new way of looking at the world. http://physicsweb.org/article/world/12/12/19

Advanced site search physics world January February March April May June July August September October November December Latest issue Subscribe to Physics World Media Information ... Editorial Staff quick search Search Physics World Previous Physics World December 1999 Next Quantum theory: weird and wonderful Feature: December 1999 Quantum mechanics is the most accurate theory we have to describe the world, but there is still much about it that we do not fully understand. Quantum mechanics is a great deal more than a theory; it is a whole new way of looking at the world. When it was developed in the 1920s, quantum mechanics was viewed primarily as a way of making sense of the host of observations at the level of single electrons, atoms or molecules that could not be explained in terms of Newtonian mechanics and Maxwellian electrodynamics. Needless to say, it has been spectacularly successful in this task. Around 75 years later, as we enter the new millennium, most physicists are confident that quantum mechanics is a fundamental and general description of the physical world. Indeed, serious attempts have been made to apply quantum ideas not merely to laboratory-scale inanimate matter but also, for example, to the workings of human consciousness and to the universe as a whole. Yet despite this confidence, the nagging questions that so vexed the founding fathers of quantum theory - and which many of them thought had finally been laid to rest after years of struggle - have refused to go away. Indeed, as we shall see, in many cases these questions have returned to haunt us in even more virulent forms. It is probably fair to say that, in the final years of this century, interest in the foundations of quantum mechanics is more widespread, and more intellectually respectable, than at any time since the invention of quantum theory.

28. PhysicsWeb - Quantum Theory: No Problem quantum theory no problem Review May 2004. The Fabric of the Cosmos Space, Time and the Texture of Reality Brian Greene 2004 Allen http://physicsweb.org/article/review/17/5/1

Advanced site search physics world January February March April May June July August September October November December Latest issue Subscribe to Physics World Media Information ... Editorial Staff quick search Search Physics World Previous Physics World May 2004 Next Quantum theory: no problem Review: May 2004 The Fabric of the Cosmos: Space, Time and the Texture of Reality Brian Greene The Copenhagen interpretation of quantum mechanics, as laid down by Niels Bohr in the 1930s, has survived intact despite the thousands of experimental tests that have since been performed. Granted, it flies in the face of common sense, stating as it does that you cannot predict with certainty the outcome of any experiment, you can only assign a probability. You cannot simultaneously know the position of a particle and also its velocity. By determining the state of one photon here on Earth, you fix the state of its entangled partner on Alpha Centauri - an action-at-a-distance effect that Einstein called "spooky". Mysterious world Yet if Bohr were alive today, he would note with satisfaction that all the developments of 20th-century physics - from the Standard Model of particle physics, superconductivity, quantum computing and teleportation to the inflationary model of Big Bang cosmology - have come about without the need to change his interpretation by one iota.

29. 81: Quantum Theory Introduction. quantum theory study of solutions of the Schrödinger (differential) equation! History. See the article on quantum theory at St Andrews. http://www.math.niu.edu/~rusin/known-math/index/81-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 81: Quantum Theory Introduction History See the article on Quantum theory at St Andrews. Applications and related fields Subfields Axiomatics, foundations, philosophy General mathematical topics and methods in quantum theory Groups and algebras in quantum theory General quantum mechanics and problems of quantization Quantum field theory; related classical field theories Scattering theory, see also 47A40 Applications to specific physical systems This is among the largest areas in the Math Reviews database; 81T (Quantum field theory) is among the largest of the 3-digit areas, and 81T13, 81T30, and 81T40 are (each!) among the largest of the 5-digit areas. During 1980-1990 this field was subdivided a little differently, although many of the parts of the earlier and present system correspond (as is corroborated by the diagram): the old 81B is roughly the present 81P, 81C=81Q, 81D=81S, 81E=81T, 81F=81U, and 81G is roughly 81V; the section 81R is distinctly new, and the old sections 81H through 81N (primarily applications of quantum theory to other parts of physics) were dropped. (Prior to 1980, the classification simply mirrored the entire MSC, categorizing papers according the mathematical tools involved.)

30. QUANTUM THEORY OF CONSCIOUSNESS© quantum theory OF CONSCIOUSNESS©. EVAN HARRIS WALKER. Walker, Evan Harris, The quantum theory of Psi, Psychoenergetic Systems 3, 259299, 1979. http://www.erols.com/wcri/CONSCIOUSNESS.html

From the Noetic Journal EVAN HARRIS WALKER Walker Cancer Research Institute, Inc. 219 West Bel Air Avenue, Aberdeen Maryland 21001 ABSTRACT This paper is a survey of the theory of consciousness that is based on quantum mechanical electron tunneling effects that occur at synaptic clefts. This paper gives the rationale for the introduction of quantum mechanics into the consciousness problem, and shows how this leads to quantitative results in agreement with experiment. INTRODUCTION The problem of the nature of consciousness, the so-called "hard problem" requires for its solution contributions from many disciplines. These involve topics in philosophy, physics, neurophysiology, and psychology, among others. As a result, the quantum theory of consciousness [Walker, 1970] has had to cover a wide range of subjects that have appeared in widely separated publications. These sources of basic material that develop the overall topic have not been adequately brought together so as to show how the several themes fit together. The purpose here is to outline this theory, and show how these themes fit together. THE PHILOSOPHICAL PROBLEM The problem of the nature of consciousness has been the central theme of philosophy for some four centuries. Despite these centuries of effort, little progress has been made. Philosophy has singled out alternatives: "monistic" theories and "dualistic" possibilities, but philosophy has provided no resolution of the basic question about the nature of consciousness. For us today, concerned with the scientific problem of explaining the nature of consciousness, these philosophical options of monism and dualism translate into the possibility that consciousness is either simply an aspect of brain functioning, or that in addition to the brain as such, there is something that is extra-physical, something that is mind-like, over and above the strictly physical nature of the brain.

31. Quantum Theory quantum theory. Why do we need quantum theory? Classical (Newtonian) mechanics instruments. Evidence for quantum theory. Classical mechanics http://www.srikant.org/core/node12.html

Next: Atoms and the Periodic Up: Laws of Physics : Previous: *Statistical Mechanics Contents Subsections Why do we need Quantum Theory? Evidence for Quantum Theory Planck's Quantum Hypothesis Bohr atom;Electron Wave ... *Quantum Theory and Philosophy Quantum Theory Why do we need Quantum Theory? Classical (Newtonian) mechanics works perfectly in explaining the world around us, and is accurate enough for even charting the trajectory of probes sent to Jupiter and beyond. So why are we not content with classical physics? Where does the need for quantum theory arise? Quantum theory unveils a new level of reality, the world of intrinsic uncertainty, a world of possibilities, which is totally absent in classical physics. And this bizarre world of quantum physics not only offers us the most compelling explanation of physical phenomena presently known, but is also one of the most prolific source of modern technologies, providing society with a cornucopia of devices and instruments. Evidence for Quantum Theory Planck's Quantum Hypothesis A black body which is maintained at a constant temperature T steadily loses energy from its surface in the form of electromagnetic radiation. Since the atoms composing the black body are in contact with a heat bath at temperature

32. Contents Ensembles; Kinetic Theory of Gases Pressure; Temperature. quantum theory Why do we need quantum theory? Evidence for quantum theory; http://www.srikant.org/core/node1.html

Next: Science and the Scientific Up: Laws of Physics : Previous: Laws of Physics : Contents Contents Science and the Scientific Method Method The Scientific Method ... About this document ... Marakani Srikant 2000-09-11

33. Quantum Mechanics - Wikipedia, The Free Encyclopedia Quantum mechanics Wikipedia, the free encyclopedia The quantum theory provides a quantitative explanation for three types of phenomena that classical mechanics and classical electrodynamics cannot account for http://en.wikipedia.org/wiki/Quantum_theory

Quantum mechanics From Wikipedia, the free encyclopedia. (Redirected from Quantum theory Quantum mechanics is a physical theory that describes the behavior of physical systems at short distances Quantum mechanics provides a mathematical framework derived from a small set of basic principles capable of producing experimental predictions for three types of phenomena that classical mechanics and classical electrodynamics cannot account for: quantization wave-particle duality , and quantum entanglement . The related terms quantum physics and quantum theory are sometimes used as synonyms of quantum mechanics, but also to denote a superset of theories, including pre-quantum mechanics old quantum theory (see #History ), or, when the term quantum mechanics is used in a more restricted sense, to include theories like quantum field theory Quantum mechanics is the underlying theory of many fields of physics and chemistry , including condensed matter physics quantum chemistry , and particle physics Table of contents 1 Quantization 2 Wave-particle duality 3 Quantum entanglement 4 Description of the theory ... edit Quantization Main article: Quantization (physics) Quantization is the taking of discrete rather than continuous values for some physical quantities (e.g. the total

34. Quantum Theory :: Quantum Theory Information, Products, Services, Resources ... Absolute Authority on quantum theory An excellent collection of quantum theory information, quantum theory products, quantum theory services, and quantum http://www.absoluteauthority.com/quantum_theory/

Absolute Authority is designed to help its users find the companies, products, services, and information they need to make the right decisions. Search for our favorite picks! Web Search Web Directory Advertise Contact us Welcome to Absolute Authority on quantum theory This is your central hub for exploring the world of quantum theory . We've spent hundreds of hours searching and organizing the most complete collection of content, community, and tools available on the subject of quantum theory Browse these topics for a list of our favorite picks! Online Gambling Sports Betting Online Casinos Betting ... Flowers Sponsored Links Contact Lenses Save 70% on Contact Lenses. Lens.com Contacts A-Z A complete list of all top contact lens brands !!! Lens.com/ProductList Contacts by Type A complete list of all top contact lens types !!! Lens.com/TypeList Contacts by Manufacturer A complete list of all top contact lens manufacturers !!! Lens.com/ManufacturerList Contact Lens Buy your contact lenses online today and save up to JustLenses.com

35. Quantum Physics Quantum Theory Quantum Mechanics: WSM Explains Discrete Effects Quantum Physics, quantum theory, Quantum Mechanics Wave Structure of Matter (WSM) and Spherical Standing Wave Interactions Explains Discrete Energy States of http://www.spaceandmotion.com/Physics-Quantum-Theory-Mechanics.htm

Quantum Physics - Quantum Theory - Quantum Mechanics Wave Structure of Matter (WSM) and Spherical Standing Wave Interactions Explains Discrete Energy States of Quantum Physics, solves the Particle-Wave Duality and Quantum Entanglement of Quantum Theory / Quantum Mechanics Physics: Quantum-Theory-Mechanics Wave Structure of Matter (WSM) Explains Discrete Effects of Quantum Physics / Theory / Mechanics On the one hand the quantum theory of light cannot be considered satisfactory since it defines the energy of a light particle (photon) by the equation E=hf containing the frequency f. Now a purely particle theory contains nothing that enables us to define a frequency; for this reason alone, therefore, we are compelled, in the case of light, to introduce the idea of a particle and that of frequency simultaneously. On the other hand, determination of the stable motion of electrons in the atom introduces integers, and up to this point the only phenomena involving integers in physics were those of interference and of normal modes of vibration . This fact suggested to me the idea that electrons too could not be considered simply as particles, but that frequency (

36. Quantum Resonance Theory: HOME A grand unified theory of consciousness, based on mysticism (primarily Kabbalah) and quantum theory. http://www.xmission.com/~mkeener

Welcome! The abstract below provides a brief introduction to quantum resonance theory. There is more information about the theory on the ESSAYS page. There is also a page about the AUTHOR and a page of interesting LINKS , as well as a discussion board assigned to the topic: DISCUSS QUANTUM RESONANCE THEORY document.write("(" + ct_25_9Kc3 + ") messages"); ABSTRACT 1.2 POSTED 01 APRIL 2004 The quantum resonance is a paradigm of essential aspects inherent in experience (or existence). It is a theory of life; in some sense, it is also a theory of everything. Quantum resonance theory provides some explanation for questions that remain mysterious within more conventional paradigms, such as the origin of life, consciousness, the observable laws of probability, and the nature of subjective experience. The term 'quantum resonance' refers to a collective or unified (quantum) field of consciousness (resonance) that manifests in any perspective, context or identity. Quantum resonances also referred to as self-moments organize themselves as a holarchy comprised of holons. A holon is both a part within a larger whole and a whole comprised of smaller parts. However, quantum resonance theory applies this concept in a novel way: "On the one hand, the self-moment exists as a unique individual within a larger collective; on the other hand, the self-moment also exists as the larger collective within which the individual in question exists." (Quantum resonance theory, Heisenberg's uncertainty principle, central tendency and the golden mean, 2000, p. 1).

37. An Exchange Of Letters In PHYSICS TODAY On Quantum Theory Without Observers An Exchange of Letters in PHYSICS TODAY on quantum theory Without Observers. February 1999. References D. Bohm, quantum theory, PrenticeHall, New York (1951). http://www.math.rutgers.edu/~oldstein/papers/qtwoe/qtwoe.html

Next: About this document An Exchange of Letters in PHYSICS TODAY on Quantum Theory Without Observers February 1999 B happens at time and C at time , then A must have happened at time Inconsistencies can arise if statements relating the probabilities of occurrence of histories are made while referring to different families in the course of a given argument. That is true even if the histories involve only a single time. Goldstein mentions our efforts to understand what is so special about the ``usual'' realm defined by hydrodynamic variables averaged over small volumes and evaluated at short, albeit discrete, intervals of time. However, he seems to think that we start with the union of many different families (with the possibility of inconsistencies in statements connecting the probabilities of occurrence of various histories) and are trying to find conditions that will shrink this set to a single realm and its associated family, thus eliminating inconsistencies. That is not the case. Rather, we are comparing the properties of different realms or families, while restricting our statements in each case to a single family, thus encountering no inconsistencies along the way. It is worth mentioning that the figure caption on the last page of the article is misleading. The photograph shows Richard Feynman and one of us (Gell-Mann), and the caption describes Gell-Mann as ``one of the most sensible critics of orthodox quantum theory'' and Feynman as ``one of its most sensible defenders.'' In fact, both physicists held very similar views of quantum mechanics. Some months before Feynman's death in 1988, Gell-Mann described to a class at Caltech the status of our work on decoherent histories at that time. Feynman was in attendance, and at the end of the class, he stood up, and some of the students expected an exciting argument. But his comment was, ``I agree with everything you said.''

38. Quantum Theory encyclopediaEncyclopedia quantum theory. quantum theory, modern physical theory concerned with the emission and absorption of energy http://www.factmonster.com/ce6/sci/A0840721.html

Encyclopedia quantum theory quantum theory, modern physical theory concerned with the emission and absorption of energy by matter and with the motion of material particles; the quantum theory and the theory of relativity together form the theoretical basis of modern physics. Just as the theory of relativity assumes importance in the special situation where very large speeds are involved, so the quantum theory is necessary for the special situation where very small quantities are involved, i.e., on the scale of molecules atoms , and elementary particles . Aspects of the quantum theory have provoked vigorous philosophical debates concerning, for example, the uncertainty principle and the statistical nature of all the predictions of the theory. Sections in this article: Introduction Relationship of Energy and Matter Dual Nature of Waves and Particles Evolution of Quantum Theory Bibliography The Columbia Electronic Encyclopedia, quantum mechanics Quantz, Johann Joachim Print this page Cite this page AD AD AD ADS Link to Fact Monster Add Fact Monster search to your site ... Privacy Brought to you by:

39. [hep-th/0303185] How Far Are We From The Quantum Theory Of Gravity? 94kb) How far are we from the quantum theory of gravity? Authors Lee Smolin Comments 84pages, one figure. Comments welcome. This http://arxiv.org/abs/hep-th/0303185

High Energy Physics - Theory, abstract hep-th/0303185 From: Lee Smolin [ view email ] Date ( ): Thu, 20 Mar 2003 18:32:29 GMT (88kb) Date (revised v2): Fri, 11 Apr 2003 02:53:05 GMT (94kb) How far are we from the quantum theory of gravity? Authors: Lee Smolin Comments: 84pages, one figure. Comments welcome. This is a review and it will be updated from time to time Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv hep-th find abs

40. Theories With Problems By Keith Mayes Examination of theories in physics from the Big Bang to quantum theory, time travel, superluminal speed and Time itself. http://www.thekeyboard.org.uk

THEORIES WITH PROBLEMS by Keith Mayes Paperback now on sale The Big Bang, Quantum Mechanics, Relativity, Time, Light Speed, Gravity, Electromagnetism, all have their theories that attempt to explain why these things are the way they are. These theories form part of our understanding of the fundamental laws of the universe, but are of course unable to provide all the answers we seek. All theories have problems in that they cannot be proven to be absolutely correct, they do not necessarily accurately describe the way things really are. They are constructed as a working model that is a useful aid to our understanding, of observed phenomenon and as a method of predicting future outcomes. When a theory is found to be wrong, it is either discarded, or as is more generally the case, modified, until it again appears to match the observations. A theory, no matter how well it appears to accurately describe any phenomenon, is provisional, it can never be proven to be completly correct, but it may be proven wrong. It will therefore always be impossible to claim a final theoretical solution to anything. "As being is to becoming, so is truth to belief. If then, Socrates, amid the many opinions about the gods and the generation of the universe, we are not able to give notions which are altogether and in every respect exact and consistent with one another, do not be surprised. Enough if we deduce probabilities as likely as any others; for we must remember that I who am the speaker and you who are the judges are only mortal men". (Plato)

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