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How can furniture arrangements in the bedroom vary between members of different classes?

I am someone who is invited into homes to evaluate study / work / play / maker environments by parents seeking suggestions to improve educational outcomes for their children. I have made home visits for over 25 years as part of my service, often guided on my tour by the children themselves with their parents. Thank you for asking me to answer this question, Juan.First, though, I have to take issue with the word 'class' because it seems to me that home furnishings are less a function of class than they are a function of a family's economics. Members of the intelligentsia who are unemployed, or upper class people who experience financial ruin, have the same problems with respect to space planning and time as people with relatively low incomes.The worst environment I have ever seen in West Los Angeles in terms of "furniture arrangements in a bedroom" was the inside of the family's cousin's garage, where a family of six slept in one uninsulated garage with no telephone, unfinished wood walls, a thin exterior coating of plaster, and a cement floor. They had an electric heater, an old sofa (two kids slept on it), a sagging queen bed where four slept (the youngest two and the two parents), clothing everywhere in no order, no running water, a bathroom outside of the garage in the home which they all shared with the family living in the home. They drank water out of a hose in the back yard. There was one window with a blanket over it. They had been living like that for years. Both parents were undocumented and both were unemployed. The mother was disabled. The father was bleary-eyed...Next, there are three children -- two boys and a girl, all attending elementary school -- sharing one bedroom. Both parents work full time and are high school graduates. The children's bedroom has a half wall of books strewn on the floor mostly, and in no appreciable order. There is no light in the bedroom sufficient for reading, and no space for a desk. These children have their own beds but the youngest is in a crib which is too small. There is no space to walk on the floor without tripping over something; there is no chair for reading, and there is no alone time except for times when they go into their parents' bedroom, sit on their parents bed, and watch TV when the rest of the family is in the living room or dining room. All homework is done with all kids seated at the dining room table. It is covered in plastic to protect it. Any kid not doing homework is watching TV in the ("open concept") living room. Their bedroom has three small beds in it, and there is not sufficient space for bed linens, clothing, and toys. There is one dresser and each child has her or his own drawer. All three children share a bathroom in the hallway with family and guests. There is lots of yelling, frustration and screaming -- and no place to go to avoid it.Then, there are families whose children each have their own bedroom. In it are a bed, dresser(s), a closet, and a private desk with task light, a desk chair, and a small bookshelf. There is no place to sit other than at the desk. There is no comfy upholstered chair for reading, no ottoman for putting up the feet while reading... the place is clean and neat. Clothing is put away. There is privacy and silence whenever needed or wanted. Usually there is wall to wall carpeting. It feels ... not very homey and (to me) too sterile. There isn't a child-oriented thing in sight. It feels as if the child is present in a withholding environment, as there is not much evidence of childhood anywhere...... or, compare the same kind of family environment with a child-oriented bedroom, which will include a sizable/stand-or-sit child-sized table and chairs or stools for multitasking / building with Legos / taking apart machines and contraptions. There will be a reading chair or pouf, a little bookshelf with books organized, regularly assessed, and arranged by genre, (fiction, nonfiction), favorite bedtime reading, new books to read... and a desk with a laptop on it. No TV in the bedroom. Windows with blackout shades and/or curtains and/or plantation shutters to protect the natural dark/light cycle for sleep (circadian rhythms). A small sofa. A rug for playing on the floor, maybe poufs for friends to sit on, or kid-sized chairs...Compare all of the above with the bedroom suite of the lucky few. There is a private bathroom with toilet, shower and/or tub, and sink ("en suite") attached to the bedroom for the use of the bedroom's inhabitant. In the bedroom is a reading area with well-stocked bookshelves; attractive places to store stationery and supplies; space for hobbies including fishtanks, pets and their paraphernalia; a table for 'making' things and ample storage for stuff used; a cozy chair for reading with its own lamp; a desk and chair; a laptop; and sometimes there is exercise equipment visible, a sofa, a TV, gaming equipment, music speakers, a spacious and well-organized closet. There is either wall to wall carpeting or hardwood floors or tile floors, with an area rug beside the bed.The luckiest few have a private suite to rival the best international guest hotels. There is:an en-suite bathroom with toilet, sink, shower, bathtub;a public room for entertaining friends with television, music, a pool table, two large sofas, a coffee table;a private room used as a library-study furnished with a desktop computer with a huge monitor, a television, a sofa, an easy chair and ottoman, great pot and task lighting (all on dimmers), ample windows for natural light, plants, flowers, fish tank, a view of the garden, curtains and black out shades, bookshelves from floor to ceiling with a rolling ladder to reach the top shelves, leather-bound diaries and journals kept by long-dead relatives line the top shelves...plants and arranged flowers in every room are refreshed daily by housekeeping staff;a small kitchen/snack area with a little refrigerator and bistro seating is just off the public room;its own separate entrance.in the bedroom, which is separated from all other rooms in the suite by doors that close and lock, is an oversized bed furnished with the world's softest and most expensive sheets and duvets, soundproofing, ample insulation, music and climate control. There are hardwood floors everywhere, and plush rugs vacuumed daily. There is a pop up TV at the foot of the bed in the bedroom. It disappears when not in use by use of a remote, causing the television to sink down into a cabinet which hides it.paintings and art on the walls of every room -- and sculptures placed just so -- are collectibles and well insured, purchased through art auctions at Sotheby's and such by the parents and donated by them as part of the child's education trust fund.

How can an uneducated guy get a job in a ship?

Many of the answers to this question would have been OK in the old daysNowadays I write Safety Management Systems for commercial vessels and all crew must read and understand them.I also write a separate vessel manual with drawings and photos showing where all the valves, cocks, emergency shutdown flaps and fire extinguishers etc are. We dont want them opening a seacock and flooding the vesselThey also must learn the difference between a tow line and a mooring spring. This can be learned on the job but they are dangerous if they get confused. The manual with all the terms in it is best.It follows they should have some basic education or they can get hurt or worse still get others hurt.The days of the Jolly Jack Tar are over - at least in first world countries.Nevertheless there are many parts of the world where safety is not a priority.Here is the cover sheet of a manual which is written in the form of a courseMANUAL CONTENTSINTRODUCTORY SESSION and ICEBREAKERMODULE ONE. Classroom. DECK CREW, HOST’S AND ENGINEERING.SESSION 1 HISTORYSESSION 2 DECK CREW OPERATION AND MAINTENANCESESSION 3 GALLEY AND TOILETSSESSION 4 HOST’S TASKSSESSION 5 COPING WITH EMERGENCIESMODULE TWO. Classroom. ENGINEERING.SESSION 6 MAIN ENGINE AND POWER TRAINSESSION 7 BOILER, AUXILIARIES AND PIPING SYSTEMSSESSION 8 BATTERIES AND 12 VDC LIGHTING SYSTEMSESSION 9 110 VDC SYSTEMSESSION 10 AC POWER DISTRIBUTIONSESSION 11 NAVIGATION EQUIPMENT AND RADIOSESSION 12 EMERGENCY EQUIPMENTSESSION 13 ANCILLARY EQUIPMENTMODULE THREE. On Board. DECK CREW AND ENGINEERING.SESSION 14 GUIDED TOUR OF THE VESSELSESSION 15 RIGGING AND LINE HANDLINGSESSION 16 PIPING AND TANKSMODULE FOUR. On Board. ENGINEERINGSESSION 17 MAIN ENGINE AND POWER TRAINSESSION 18 SHORE AND SHIP POWER SYSTEMSSESSION 19 ANCILLARY EQUIPMENTNow here are the cover pages for an Safety Management System. Note the involvement of management which is criticalTABLE OF CONTENTS1. GENERAL1.1 INTRODUCTION1.2 VESSEL DETAILS AND SPECIFICATION1.3 SAFETY GEAR ON BOARD1.4 COMPANY DETAILS2. SAFETY & ENVIRONMENT POLICY2.1 COMPANY SAFETY & ENVIRONMENT POLICY2.2 ENVIRONMENT2.3 DRUG & ALCOHOL2.4 VESSEL SAFETY MANAGEMENT SYSTEM (SMS)3 COMPANY RESPONSIBILITIES AND AUTHORITY3.1 MANAGING DIRECTOR3.2 OTHER STAFF, CREW AND PERSONNEL4 DESIGNATED PERSON (DP)5 MASTERS RESPONSIBILITY AND AUTHORITY6. RESOURCES AND PERSONNEL6.1 TRAINING6.1.1 TRAINING OFFICER6.1.2 IDENTIFICATION OF TRAINING NEEDS6.2 TRAINING RECORDS6.3 RECORD RETENTION - SEE PARA 11.77. OPERATIONAL PROCEDURES7.1 WARNING7.2 CREW BRIEFING7.3 NON-CREW SAFETY BRIEFING7.4 PRE DEPARTURE CHECKLISTS7.5 ENGINE START-UP7.6 ENGINE SHUTDOWN7.7 ELECTRICAL SYSTEM7.8 DISPOSAL OF GARBAGE7.9 DISPOSAL OF WASTE OIL7.10 PUMPING BILGES AND DECK HOSE7.11 MAINTENANCE CHECKS7.12 REFUELLING7.13 BUNKERING7.14 ANCHORING7.15 TOWING7.16 HYDRAULIC CRANE7.17 VESSEL PLANS7.18 VESSEL LOG7.19 RECORD OF OPERATIONAL DRILLS AND TRAINING8. EMERGENCY PROCEDURES8.1 FLOODING8.2 COLLISION8.3 ENGINE ROOM FIRE8.4 FIRE OTHER THAN ENGINE ROOM8.5 CRITICAL BREAKDOWN8.6 PERSON(S) OVERBOARD8.7 GROUNDING8.8 EXPLOSION8.9 BOMB THREAT8.10 EMERGENCY STEERING8.11 UNLAWFUL ACT8.12 PERSON(S) INJURED8.13 PREPARE TO ABANDON SHIP8.14 ABANDON SHIP8.15 TERRORISM8.16 ENVIRONMENTAL9 REPORTING ACCIDENTS AND INCIDENTS10. MAINTENANCE OF THE VESSEL AND EQUIPMENT10.1 MAINTENANCE OF SAFETY ITEMS10.2 TYPICAL MAINTENANCE ITEMS10.3 MAINTENANCE LOG10.4 WORK REQUEST11. DOCUMENTATION11.1 DOCUMENTATION AND RECORDS11.2 AUTHORISATION11.3 SMS RECORDS - ELECTRONIC VERSION11.4 SMS RECORDS – PRINTED DOCUMENTS11.5 SMS DOCUMENT CONTROL AND IDENTIFICATION11.6 MODIFICATIONS / CHANGES11.7 RECORD RETENTION12 REVIEW AND EVALUATION

Does quantum mechanics show that the universe is pixelated?

This image represents Bekenstein’s approach to what became Holographic Theory. It started off as Black Hole physics, then turned into thermodynamics. Bekenstein then turned it into information.It was based on an equation by Bekenstien, after a few generations evolved to:In this equation, N refers to bits of information. However, as of yet that remains undefined, but I will derive what a ‘bit’ of information is a little further on.Lp is the Planck length (10^-35 meters), tp will be the Planck unit of time (10^-44 seconds). These are the smallest slice of space and of time possible in normal space-time. They are the Zero Point for space and time, in a quazi logical way.For those who suspect space-time is infinitely divisible, not quantized, see my former discussion at Bill Bray's answer to Why is it impossible for anything to be smaller than the Planck length?Where N refers to the number of ‘bits’ of information and AΩ is our world-sheet, as we fill that empty void with information (N) we inadvertently create the world-sheet AΩ. In order to derive the value of what 1 ‘bit’ of information is, we can simply do this:Setting ‘c’ as a natural number and equal to 1: Lp = tpthenGiven Einstein’s filed equationsreduces the geometry of space-time toNoting that G on the left referring to the geometry of G(uv), as well as G being on the right hand side of the equation, leads to a self-similar (fractal)we end up withThe geometry of space-time is an emergent phenomenon of Information, as a fractal.Also, the term T(uv) is supposed to represent the tensor that describes the forceful bending of space-time. However, since its internal components (uv) are on both sides of the equation (u and v represent rows and columns of values) these values are also fractals. Thus, the term (the tensor) is a highly localized phenomenon. This is what Wheeler was searching for but never found. The tensor is a fractal that starts nearly flat, then becomes increasingly fracked. THIS DOES NOT HAPPEN BECAUSE OF MASS - IT HAPPENS BECAUSE OF THE DENOMINATOR, N. AKA, the presence of information.The error for the past century was to assume that because mass and gravitation seem to always be in the same place, that there is a needy relationship. However, the recent discovery that Gravity Waves exist by the LIGO interferometer proves Wheeler’s description: Gravitation without mass, as he was referring to Gravity Waves. The Gravity Wave has information present, but no information that describes mass.If there were information in the gravity wave that described mass, then the gravity wave would possess mass, it does not. LIGO is an interferometer, just like the Michelson moerley, that functions by detecting its own change of state under a Schwarzschild transformation in General Relativity, which incontrovertible dismisses all prior art regarding frame of reference in General Relativity. All mythos regarding falling into a black hole, spinning black holes, black holes with magnetic fields, Hawking radiation, are collectively dismissed, and no evidence has ever supported such null hypotheses.The urban myth, mass brings about gravity and gravity tells mass where to go is incorrect. Gravitation is a fractal that results from the presence of information that may or may not describe mass. A Gravity Wave represents the fractal above, but the information in the wave does not describe the presence of mass.The termCan only be interpreted as:However, a triangle is impossible because of the hypotenuse and height not being integers of LpWe run into the same problem with a cube (your pixel) because it is wrought with non-integers of LpA circle has pi (not even a rational number)Since every possible shape is wrought with values that are not integers of Lp, no shape is possible on a Planck Scale.On a Planck scale, space-time is shapeless. In 1957 Wheeler derived the equations for Lp and tp, in the study of the propagation of Gravity Waves, and found what he referred to as the ‘Quantum Foam.’ It is a turbulent, dynamic shapeless domain where virtual particles pop in and out f existence at a very high rate.In 2004 Wilczek (a friend of Wheeler’s) earned the Nobel in Physics for measuring the effect of the Quantum Foam on the Strong and Weak forces.As for ‘pixelation,’ we can only regard the cosmos as a 2-dimensional rendering of a 4-dimensional facade. And in this 2-dimensional, holographic construct, time is not a valid dimension.That statement is fully compatible with the AdS description.This is Holographic Theory. From Holographic Theory we are finding emergent space-time, mass-energy, and the forces of nature. For instance, above we saw the short version of how space-time actually emerges from Information along with its geometry (gravitation). Note that we are on our way to a Quantum Description of Gravitation without any Higg’s Bosons. In fact, if the Higg’s really does exist (I’m not a ‘believer’) it is emergent from the description above.Mass-energy arises from quantum entanglement and superposition within this geometry we have made out of our world-sheet AΩ. Let me find that - wait; here it is:If we take into account Wheeler’s Space-time Foam on a quantum scale, [John Archibald Wheeler with Kenneth Ford. Geons, Black Holes, and Quantum Foam.1995 ISBN 0-393-04642-7.] we might conclude that as a part of this foamy characteristic of space-time on a quantum scale is the motion of a macroscopic object progressing forward in this go-stop-go fashion described above at v=c and v=0. In today’s vernacular we might say that the object were moving as though pixelated, and as we back out from the quantum to the macroscopic we no longer see the pixelated but a ‘normal’ progression of a macroscopic object. However, there can be no ‘pixelation’ on a quantum scale, as I will describe later on, because of the foamy characteristic of space-time on a quantum scale. In fact, there can be no shape, again, this will be described.Wheeler first describes the Quantum Foam as early as 1955 [Wheeler, J. A. (January 1955). "Geons". Physical Review. 97 (2): 511. Bibcode:1955PhRv...97..511W. doi:10.1103/PhysRev.97.511]The Quantum Foam in short, is an extension of the existence of Virtual Particles that come into existence via the Uncertainty Principle. The very brief and over simplified description of this Quantum Foam is that in any volume of empty space, virtual particle-antiparticle pairs are being created and annihilated constantly. The other characteristic is that space-time on a Planck scale can conform to no shape, because every plausible shape has characteristics that are not integer values of the Planck interval. We discussed this characteristic at length in The Holographic Principle of Quantum Mechanics. These particle-antiparticle pairs arise from the Quantum Electro Dynamic Vacuum Energy, that is, they 'borrow' energy from Heisenberg's Uncertainty principle. The virtual particle-antiparticle pairs exist for extremely brief periods of time, and recombine to annihilate themselves back into nothingness again. This occurs at a very high rate of speed and is constant, on the order of 10-44 seconds. We say that space, therefore, has foam like character that is referred to as the Quantum Foam. The Quantum foam plays a direct role in the Quantum Electrodynamic Vacuum Energy, on the order of 10120 joules of energy per cubic centimeter of absolute nothingness (described in the glossary).However, borrow is a metaphor. They merely exist for a short time.The effect they have on a Planck scale (of size, 10-35 meters) is to curve Space-Time in such a way as to give space-time a 'foamy' characteristic. A few -1.Thorne, Kip S. (1994). Black Holes and Time Warps.2.W. W. Norton. pp. 494–496. ISBN 0-393-31276-3.3.Ian H., Redmount; Wai-Mo Suen (1994). "Quantum Dynamics of Lorentzian Space-time Foam". Physical Review D 49: 5199. Doi: 10.1103/PhysRevD.49.5199. arXiv:gr-qc/93090174.Moyer, Michael (17 January 2012). "Is Space Digital?:". Scientific American. Retrieved 3 February 2013.5.Baez, John (2006-10-08). "What's the Energy Density of the Vacuum?". Retrieved 2007-12-18.6.John Archibald Wheeler with Kenneth Ford. Geons, Black Holes, and Quantum Foam. 1995 ISBN 0-393-04642-7This describes the ‘quantum foam,’ a characteristic of space-time that describes the dynamic structure on the Planck scale. There is a short review of this by wilczek, who actually measured the quantum foam’s effect on the strong and weak forces (for which he earned a Nobel, at 48 minutes into: https://youtu.be/914jzZ4LXcUIn this 4Lp^2, we either have information in it, or there is no information in it. That is, it is a shapeless bit of space-time (but we use the trigonal pyramid for visual purposes) is either empty or filled.If there is information in it, it by definition is entangled with some other bit of information somewhere in the universe; because they (we’ll call the two N and N’) were created as a particle/antiparticle pair vie the HUP. However, they do not have to be a particle/antiparticle pair. As we saw with the Gravity Wave, the information (N) does not have to describe mass. It will describe energy, but although we can stick the energy in an equation (E=mc^2, the Compton Wavelength, DeBroglie Wavelength, and so on) that doesn’t mean it actually has mass. In fact, it does suggest momentum either. As an example, a Gravity Wave can and does (see Lin-Shu Density Wave) keep a spiral galaxy and all of the massive stars in place, it possesses neither mass nor momentum.As the distance between these two bits N and N’ increases, the probability that they are quantum entangled decreases, because the wave function in the HUP limits the amount of time such a thing can exist, and thus the distance. If N is entangled with N’, then each has an element a or its symmetric partner a’.We’ll call the information in N has two possibilities (such as spin) a and a’. We’ll use a real particle for a moment and say they are an electron positron pair. Spin +1/2 is a, spin -1/2 is a’. So, each N can have a or a’. Also, N’ can have a or a’. So I’ll use an over simplified braket notation and refer to the systems as<a|N|a’> and <a|N’|a’>If N has a, then N’ has a’, If N has a’, then N’ has a. It’s either/or.If there is no N’ then there is no space-time in this scenario. If there is an N’, then time limits us to the probability that it contains either a or a’. From this time constraint, the number of possible superpositions is defined, and so the size of our world sheet, AΩ.That is, as the number of superpositions increases, we have entropy, as the number of superpositions decreases, we have Ordiny. Gravitation is unidirectional Ordiny. So is a magnetic dipole. The Strong Force has two components, the Internal Strong Force that binds hypothetical ‘quarks’ together; Ordiny, and the Intermediate Strong Force (mediated by mesons) the binds protons and neutrons together, more Ordiny.The Weak force can be viewed as a form of entropy, as a W boson escapes the nucleus, decaying into an electron and electron-antineutrino.This interplay between entropy and riding is the direct observation of force, and displaced the mythos of delta S as some ‘arrow of time' which is a non sequitur. A 19th century gas law does not describe the visible cosmos. The notion that entropy is ‘the loss of information regarding the Microsystems of a system' is obviously a pure technological limitation, not a priority of nature. It is less of a limitation every year, in fact. Every limit, every unexplained thing becomes the magic black box for physics, sad.The number of available superposition describes the entropy vs ordiny that yields force. this I laid out in a series of papers on Researchgate.For the most part, the forces of nature represent Ordiny. Entropy occurs under extreme conditions only, such as the Big Bang and Black Holes. Irreversible entropy that is.To simplify again, the surface of our world-sheet AΩ is defined by the number of Lp^2 available on this 2-dimensional surface. As the number increases, the number of possible superpositions increases and entropy emerges. If the number decreases, the number of possible superpositions decreases, and Ordiny emerges.This is how space-time is then an emergent form from information entropy vs. Ordiny. You may also note that ‘c’ is not a velocity, it defines the relationship between the world-sheet AΩ with respect to Lp and tp (space and time). It is not a ‘speed limit’ it is the definition of space-time. The ‘speed limit’ is actually the result of c=1Lp/1tp.At such time you are at c, you are superposition across the AdS horizon. There is no velocity other than c, only c exists, all else is a facade velocity. That was derived by Einstein Maric in the original 1905 paper, but no one has read it, that is true. There are only 50 citations to it, none in a century. There are millions of citations to papers about it, none of those papers have read the original, which bears no resemblance to modern convention whatsoever. So I wrote a paper breaking all convention and showing images of the original, and it has a jaw dropping response in physics. QFT physicists think I am Satan, because I do not violate axiom and theorem, introduce un observable dimensionality of the gods to explain clearly observable things, with math that isn't upside down.by convention, the constancy of c is purely rhetorical. However, it is the associative property of addition in the 1905 document. As the acid test, find the derivation of the constancy of c, that is in an observable dimension set and real.1.Arntzenius, Frank. (2000) “Are there Really Instantaneous Velocities?”, The Monist 83, pp. 187-208.2.Barnes, J. (1982). The Presocratic Philosophers, Routledge & Kegan Paul:3.Barrow, John D. (2005). The Infinite Book: A Short Guide to the Boundless, Timeless and Endless, Pantheon Books, New York.4.Benacerraf, Paul (1962). “Tasks, Super-Tasks, and the Modern Eleatics,” The Journal of Philosophy, 59, pp. 765-784.5.Bergson, Henri (1946). Creative Mind, translated by M. L. Andison. Philosophical Library: New York.6.Black, Max (1950-1951). “Achilles and the Tortoise,” Analysis 11, pp. 91-101.7.Cajori, Florian (1920). “The Purpose of Zeno’s Arguments on Motion,” Isis, vol. 3, no. 1, pp. 7-20.8.Cantor, Georg (1887). "Über die verschiedenen Ansichten in Bezug auf die actualunendlichen Zahlen." Bihang till Kongl. Svenska Vetenskaps-Akademien Handlingar , Bd. 11 (1886-7), article 19. P. A. Norstedt & Sôner: Stockholm.9.Chihara, Charles S. (1965). “On the Possibility of Completing an Infinite Process,” Philosophical Review 74, no. 1, p. 74-87.10.Copleston, Frederick, S.J. (1962). “The Dialectic of Zeno,” chapter 7 of A History of Philosophy, Volume I, Greece and Rome, Part I, Image Books: Garden City.11.Dainton, Barry. (2010). Time and Space, Second Edition, McGill-Queens University Press: Ithaca.12.Dauben, J. (1990). Georg Cantor, Princeton University Press: Princeton.13.De Boer, Jesse (1953). “A Critique of Continuity, Infinity, and Allied Concepts in the Natural Philosophy of Bergson and Russell,” in Return to Reason: Essays in Realistic Philosophy, John Wild, ed., Henry Regnery Company: Chicago, pp. 92-124.14.Diels, Hermann and W. Kranz (1951). Die Fragmente der Vorsokratiker, sixth ed., Weidmannsche Buchhandlung: Berlin.15.Dummett, Michael (2000). “Is Time a Continuum of Instants?,” Philosophy, 2000, Cambridge University Press: Cambridge, pp. 497-515.16.Earman J. and J. D. Norton (1996). “Infinite Pains: The Trouble with Supertasks,” in Paul Benacerraf: the Philosopher and His Critics, A. Morton and S. Stich (eds.), Blackwell: Cambridge, MA, pp. 231-261.17.Feferman, Solomon (1998). In the Light of Logic, Oxford University Press, New York.18.Freeman, Kathleen (1948). Ancilla to the Pre-Socratic Philosophers, Harvard University Press: Cambridge, MA. Reprinted in paperback in 1983.19.Grünbaum, Adolf (1967). Modern Science and Zeno’s Paradoxes, Wesleyan University Press: Middletown, Connecticut.20.Grünbaum, Adolf (1970). “Modern Science and Zeno’s Paradoxes of Motion,” in (Salmon, 1970), pp. 200-250.21.Hamilton, Edith and Huntington Cairns (1961). The Collected Dialogues of Plato Including the Letters, Princeton University Press: Princeton.22.Harrison, Craig (1996). “The Three Arrows of Zeno: Cantorian and Non-Cantorian Concepts of the Continuum and of Motion,” Synthese, Volume 107, Number 2, pp. 271-292.23.Heath, T. L. (1921). A History of Greek Mathematics, Vol. I, Clarendon Press: Oxford. Reprinted 1981.24.Hintikka, Jaakko, David Gruender and Evandro Agazzi. Theory Change, Ancient Axiomatics, and Galileo’s Methodology, D. Reidel Publishing Company, Dordrecht.25.Kirk, G. S., J. E. Raven, and M. Schofield, eds. (1983). The Presocratic Philosophers: A Critical History with a Selection of Texts, Second Edition, Cambridge University Press: Cambridge.26.Maddy, Penelope (1992) “Indispensability and Practice,” Journal of Philosophy 59, pp. 275-289.27.Matson, Wallace I (2001). “Zeno Moves!” pp. 87-108 in Essays in Ancient Greek Philosophy VI: Before Plato, ed. by Anthony Preus, State University of New York Press: Albany.28.McCarty, D.C. (2005). “Intuitionism in Mathematics,” in The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, Oxford University Press, Oxford, pp. 356-86.29.McLaughlin, William I. (1994). “Resolving Zeno’s Paradoxes,” Scientific American, vol. 271, no. 5, Nov., pp. 84-90.30.Owen, G.E.L. (1958). “Zeno and the Mathematicians,” Proceedings of the Aristotelian Society, New Series, vol. 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