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| url: http://localhost:1313/post/2025-05-23-collapsing-mermins-quantum-mysteries-for-anybody/ | |
| saved date: Fri May 23 2025 20:02:20 GMT-0700 (Pacific Daylight Time) | |
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| <title>Collapsing Mermin's 'Quantum mysteries for anybody'</title> | |
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| content="Quantum mechanics is weird. Why should we believe it? | |
| N. D. Mermin published two amazing articles, “Bringing home the atomic world: Quantum mysteries for anyone” (1981), and “Quantum mysteries revisited” (1990), which describe thought experiments (based on real experiments) that present a fundamental “paradox” of reality that has led scientists to create such an exotic theory. | |
| In the paper that follows I present the Einstein-Podolsky-Rosen conundrum, without mention of wave functions, superposition, wave-particle duality, the uncertainty principle, incompatible observables, electron spin, or any other quantum-mechanical notions. – Mermin"> | |
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| <main class=main> | |
| <article class=post-single> | |
| <div class=post-content> | |
| <p>Quantum mechanics is weird. Why should we believe it?</p> | |
| <p>N. D. Mermin published two amazing articles, “Bringing home the atomic world: Quantum mysteries for | |
| anyone” (1981), and “Quantum mysteries revisited” (1990), which describe thought experiments (based | |
| on real experiments) that present a fundamental “paradox” of reality that has led scientists to | |
| create such an exotic theory.</p> | |
| <blockquote> | |
| <p>In the paper that follows I present the Einstein-Podolsky-Rosen conundrum, without mention of | |
| wave functions, superposition, wave-particle duality, the uncertainty principle, incompatible | |
| observables, electron spin, or any other quantum-mechanical notions. <em>– Mermin</em></p> | |
| </blockquote> | |
| <p>While I still consider these two articles the best to share with quantum mechanics skeptics, they | |
| have separate strengths. The second paper’s experiment is more surprising, but the first paper’s | |
| arguments are more complete.</p> | |
| <p>Here I copy-paste sentences from the two articles into a single article that captures the strengths | |
| of both. The words here are 99% Mermin’s. I have merely re-arranged them and cut out the | |
| redundancies. I have also omitted the sections targeted at physicists.</p> | |
| <hr> | |
| <p>Abstract: A simple device is described, based on a version of Bell’s inequality, whose operation | |
| directly demonstrates some of the most peculiar behavior to be found in the atomic world. To | |
| understand the design of the device one has to know some physics, but the extraordinary implications | |
| of its behavior should be evident to anyone. Except for a preface, the paper is addressed to the | |
| general reader.</p> | |
| <h3 id=preface>PREFACE<a hidden class="anchor sf-hidden" aria-hidden=true href=#preface>#</a></h3> | |
| <p>The 1935 thought experiment of Einstein, Podolsky, and Rosen challenged the quantum-mechanical | |
| doctrine that simultaneous values of incompatible observables are not only impossible to know, but | |
| also meaningless to contemplate. The correlations revealed by that experiment underly much of | |
| Einstein’s subsequent insistence that the quantum theory, though it might well account correctly for | |
| all measurements, was only a step toward a more complete theory that would give meaning to the | |
| values of unmeasured properties.</p> | |
| <p>For almost three decades the objections to Einstein’s views on the reality of unmeasured properties | |
| were entirely philosophical. “One should no more rack one’s brain about the problem of whether | |
| something one cannot know anything about exists all the same, than about the ancient question of how | |
| many angels are able to sit on the point of a needle.” In 1964, however, J. S. Bell showed that such | |
| assumptions of existence can have observable consequences. These can be at odds with quantitative | |
| numerical predictions of the quantum theory, and thus, if the theory is correct, with observable | |
| physical behavior.</p> | |
| <p>Experiments since Bell’s paper indicate that nature behaves consistently with quantum mechanics, but | |
| not with the concept of reality Einstein demanded from a satisfactory theory. The metaphysical | |
| conundrum with which Einstein, Podolsky, and Rosen attacked the accepted interpretation of quantum | |
| mechanics can not be extracted directly from a few simple facts, without any reference at all to the | |
| conceptual apparatus of the quantum theory. The point is no longer that quantum mechanics is an | |
| extraordinarily (and for Einstein, unacceptably) peculiar theory, but that the world is an | |
| extraordinarily peculiar place.</p> | |
| <p>In the paper that follows I present a Greenberger-Horne-Zeilinger variation of the | |
| Einstein-Podolsky-Rosen conundrum, without mention of wave functions, superposition, wave-particle | |
| duality, the uncertainty principle, incompatible observables, electron spin, or any other | |
| quantum-mechanical notions. The argument is addressed to readeres who know nothing of the quantum | |
| theory or, for that matter, of classical physics either. My aim is to bring such readers directly up | |
| against one of the most strikingly odd ways the world can behave. Those who follow the argument | |
| should be as able as practicing physicists to ponder the metaphysical implications of the | |
| Einstein-Podolsky-Rosen conundrum.</p> | |
| <p>I begin by describing a certain device. The device contains some black boxes, but the relevant | |
| features of its behavior are fully described, just as one can fully describe what comes out of a | |
| radio when the knobs turn, without delving into electromagnetic theory.</p> | |
| <p>In the second half of the paper I point out the conundrum posed by the existence of such a device. No | |
| resolution of the conundrum is offered. Many physicists simply deny that it is a conundrum, a | |
| position readers can accept or reject for themselves.</p> | |
| <h3 id=i-the-device-and-what-it-does>I. THE DEVICE AND WHAT IT DOES<a hidden class="anchor sf-hidden" | |
| aria-hidden=true href=#i-the-device-and-what-it-does>#</a></h3> | |
| <p>I shall describe a device that achieves a rather remarkable effect by exploiting the known behavior | |
| of matter on the atomic level. Although this device has not been built, there is no reason in | |
| principle why it could not be, and probably no insurmountable practical difficulties. The device has | |
| four unconnected parts. By “unconnected” I mean that there are neither mechanical connections (e.g., | |
| pipes, rods, strings, or wires) nor electromagnetic connections (e.g., radio, radar, or light | |
| signals) nor any other known relevant connections. Irrelevant connections may be hard to avoid. For | |
| example, all four parts might sit on the same table top.</p> | |
| <p><img loading=lazy | |
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" | |
| alt="Three detectors with a box in the center emanating particles"> | |
| </p> | |
| <p>Three of the parts (A, B, and C) are detectors. Each detector has a switch that can be set in one of | |
| two positions (labeled 1 and 2) and a red and a green light bulb. When a detector is set off it | |
| flashes either its red light or its green. It does not matter how the switch is set, though whether | |
| it flashes red or green may well depend on the setting. The only purpose of the lights is to | |
| communicate information to the observer; marks on a ribbon of tape would serve as well. I mention | |
| this only to emphasize that the unnconectedness of the parts of the device prohibits any mechanism | |
| in either detector, that can modify its behavior according to the color that may have flashed on the | |
| other.</p> | |
| <p>The fourth piece of the device is a box placed between the detectors. Whenever a button on the box is | |
| pushed, shortly thereafter three particles emerge, moving off in different directions toward the | |
| three detectors.</p> | |
| <p>Each detector flashes either red or green whenever a particle reaches it. Things are aimed and | |
| adjusted so that within a second or two of every push of the button, each detector flashes one or | |
| the other of its two colored lights.</p> | |
| <p>Because there are no connections between parts of the device, the link between pressing the button on | |
| the box and the subsequent flashing of the detectors can only be provided by the passage of the | |
| particles from the box to the detectors. Additional instruments or shields could be used to confirm | |
| the lack of any other communication between the box and the detectors, or between the detectors | |
| themselves.</p> | |
| <p>The device is operated repeatedly in the following way: the switch on any detector is set to one of | |
| its two possible positions; this gives eight possible settings for the three detectors: 111, 112, | |
| 121, 122, 211, 212, 221, and 222. The button on the box is pushed and, somewhat later, each detector | |
| flashes one of its lights. The flashing of the detectors need not be simultaneous. By changing the | |
| distance between the box and the detectors we can arrange that the devices flash in any order. It | |
| also does not matter whether the switches are set to their positions before or after the particles | |
| leave the box, as long as each is set before a particle actually reaches the detector. One could | |
| even arrange for the switch on B not to be set until after A had flashed (but, of course, before B | |
| flashed).</p> | |
| <p>After all detectors have flashed their lights, the setting of the switches and the colors that | |
| flashed are recorded using the following notation: 122 GRG indicates that just one of the detectors | |
| is set to 1 (and the others to 2) and just one of the detectors flashed red (and the others flashed | |
| green); 111 RRG indicates that all detectors are set to 1 and just one of the detectors flashed | |
| green (and the others flashed red); and so on. Here is a typical fragment from a record of many | |
| runs.</p> | |
| <table> | |
| <thead> | |
| <tr> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| <th style=text-align:center></th> | |
| </tr> | |
| </thead> | |
| <tbody> | |
| <tr> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>212 RRR</td> | |
| <td style=text-align:center>122 RRR</td> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>212 RGG</td> | |
| <td style=text-align:center>212 RGG</td> | |
| <td style=text-align:center>212 GRG</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center><em>111 GRR</em></td> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>221 RGG</td> | |
| <td style=text-align:center>212 RGG</td> | |
| <td style=text-align:center>212 GRG</td> | |
| <td style=text-align:center>122 RGG</td> | |
| <td style=text-align:center>221 RGG</td> | |
| <td style=text-align:center>221 GGR</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center>122 GGR</td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>212 GGR</td> | |
| <td style=text-align:center>221 RGG</td> | |
| <td style=text-align:center>212 GRG</td> | |
| <td style=text-align:center>221 RGG</td> | |
| <td style=text-align:center>212 GRG</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center><em>111 RRG</em></td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| <td style=text-align:center><em>111 RRG</em></td> | |
| <td style=text-align:center>212 GGR</td> | |
| <td style=text-align:center><em>111 RRG</em></td> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>122 GRG</td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center>212 GGR</td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>221 GRG</td> | |
| <td style=text-align:center>221 GRG</td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| <td style=text-align:center>122 RRR</td> | |
| <td style=text-align:center>122 RRR</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center>122 RRR</td> | |
| <td style=text-align:center>221 RGG</td> | |
| <td style=text-align:center>122 GGR</td> | |
| <td style=text-align:center><em>111 GGG</em></td> | |
| <td style=text-align:center>122 GRG</td> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>221 RRR</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center><em>111 RGR</em></td> | |
| <td style=text-align:center>221 GRG</td> | |
| <td style=text-align:center>212 RGG</td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>212 GRG</td> | |
| <td style=text-align:center>212 GGR</td> | |
| <td style=text-align:center>221 RRR</td> | |
| <td style=text-align:center>122 GGR</td> | |
| </tr> | |
| <tr> | |
| <td style=text-align:center><em>111 RGR</em></td> | |
| <td style=text-align:center>212 RRR</td> | |
| <td style=text-align:center>122 GGR</td> | |
| <td style=text-align:center>221 GRG</td> | |
| <td style=text-align:center><em>111 GRR</em></td> | |
| <td style=text-align:center><em>111 GRR</em></td> | |
| <td style=text-align:center>221 GGR</td> | |
| <td style=text-align:center>122 GRG</td> | |
| </tr> | |
| </tbody> | |
| </table> | |
| <p>We record only the cases where an odd number of devices (1 or 3) have been set to 1. The results of | |
| any other setting are of no consequence to our demonstration.</p> | |
| <p>The accumulated data have a random character, but there is a property of the data which always holds | |
| true: If just one detector is set to 1 (and the others to 2), then an odd number of red lights | |
| always flash - i.e., either all three detectors flash red, or there is one red flash and two green | |
| ones. (All four outcomes - RRR, RGG, GRG, or GGR - are equally likely, but this detail is of no | |
| importance.) If all three detectors are set to 1, then an odd number of red lights is never observed | |
| to flash - either two of the three flash red or all three flash green.</p> | |
| <p>This is all one needs to know about the device and how it operates.</p> | |
| <h3 id=ii-the-conundrum-of-the-device>II. THE CONUNDRUM OF THE DEVICE<a hidden class="anchor sf-hidden" | |
| aria-hidden=true href=#ii-the-conundrum-of-the-device>#</a></h3> | |
| <p>The data produced by the device may seem harmless enough, but some scrutiny reveals them to be as | |
| surprising as a conjurer’s trick. My emphasis that no pieces of the device could communicate with | |
| any others except through the particles, was precisely to forestall the search for hidden wires, | |
| mirrors, or cards up the sleeve that one feels impelled to embark upon, once the implications of the | |
| data are grasped.</p> | |
| <p>Why do the detectors flash the way they do when the switches are set? Since the detectors are | |
| unconnected there is no way for one to “know” how the switches on the others are set; nothing in the | |
| construction of any detector is designed to allow its functioning to be affected in any way by the | |
| setting of switches on the others (or by the colors of light flashed by the others).</p> | |
| <p>There is a very simple way to explain the results. We need only suppose that some property of each | |
| particle (such as its speed, size, or shape) determines the color its detector will flash for both | |
| of the switch positions. What that property is does not matter; it is enough that the various states | |
| or conditions of each particle can be divided into four types: <span class=katex><span | |
| class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_R^R</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span>, | |
| <span class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_G^R</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span>, | |
| <span class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_R^G</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span>, | |
| <span class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_G^G</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span>. | |
| A particle whose state is of type <span class=katex><span class=katex-mathml><math | |
| xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_G^R</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span>, | |
| for example, will always cause its detector to flash red for setting 1 of the switch and green for | |
| setting 2; a particle in a state of type <span class=katex><span class=katex-mathml><math | |
| xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>_G^G</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span> | |
| will cause its detector to flash green for any setting of the switch; and so on. The four types | |
| encompass all possible cases. The detector extracts from each type of state a definite set of | |
| instructions for what color to flash for both of the possible settings of its switches; thus each | |
| particle can be viewed as carrying such a set of instructions to its detector through the value of | |
| the relevant property.</p> | |
| <p>The totality of flashing instructions carried by the three particles in a given run can be summarized | |
| by listing the instructions carried by all three of them. This hypothesis, that the particles in a | |
| run carry instruction sets, is the obvious way to account for what happens. It cannot be proved that | |
| there is no other way, but I challenge the reader to suggest any.</p> | |
| <p>And therein lies a conundrum, because this hypothesis, the only apparent way to account for the | |
| behavior, is quite incompatible with the data.</p> | |
| <p>Let us set aside, for the moment, the 111 case (it will return to haunt us) and consider the cases | |
| 122, 212, and 221 in which just one detector is set to 1. A run in which the instructions carried by | |
| the particles were <span class=katex><span class=katex-mathml><math | |
| xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^R} {_R^G} {_R^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> | |
| would result in RRR if the switch settings were 122, GGR for 212, and GRG for 221. <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^R} {_R^G} {_R^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> | |
| is a legal set of instructions for these cases, since each of the three possible switch settings | |
| results in an odd number of red flashes. [An example of an illegal set of instructions is <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^R} {_R^R} {_R^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span>, | |
| for this gives an even number of red flashes (GRR) for the switch setting 212.]</p> | |
| <p>It is not hard to enumerate all the legal instruction sets. Out of the 64 possible instruction sets | |
| here are the eight legal ones:</p> | |
| <p><span class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_R^R} {_R^R} {_R^R}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_R^R} {_G^G} {_G^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^G} {_R^R} {_G^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^G} {_G^G} {_R^R}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> | |
| </p> | |
| <p><span class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
| <mi>G</mi> | |
| </msubsup> | |
| </mrow> | |
| <annotation encoding=application/x-tex>{_G^R} {_R^G} {_R^G}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
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| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
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| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
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| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
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| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
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| <annotation encoding=application/x-tex>{_G^R} {_G^R} {_G^R}</annotation> | |
| </semantics> | |
| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
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| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
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| <mi>R</mi> | |
| <mi>G</mi> | |
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| <msubsup> | |
| <mrow></mrow> | |
| <mi>G</mi> | |
| <mi>R</mi> | |
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| <annotation encoding=application/x-tex>{_R^G} {_R^G} {_G^R}</annotation> | |
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| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
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| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> <span | |
| class=katex><span class=katex-mathml><math xmlns=http://www.w3.org/1998/Math/MathML> | |
| <semantics> | |
| <mrow> | |
| <msubsup> | |
| <mrow></mrow> | |
| <mi>R</mi> | |
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| <msubsup> | |
| <mrow></mrow> | |
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| <mi>R</mi> | |
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| <mi>G</mi> | |
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| <annotation encoding=application/x-tex>{_R^G} {_G^R} {_R^G}</annotation> | |
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| </math></span><span class=katex-html aria-hidden=true><span class=base><span class=strut | |
| style=height:1.1167em;vertical-align:-0.2753em></span><span class=mord><span | |
| class=mord><span></span><span class=msupsub><span class="vlist-t vlist-t2"><span | |
| class=vlist-r><span class=vlist style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span><span | |
| class=mord><span class=mord><span></span><span class=msupsub><span | |
| class="vlist-t vlist-t2"><span class=vlist-r><span class=vlist | |
| style=height:0.8413em><span | |
| style=top:-2.4247em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight" | |
| style=margin-right:0.00773em>R</span></span></span><span | |
| style=top:-3.063em;margin-right:0.05em><span class=pstrut | |
| style=height:2.7em></span><span | |
| class="sizing reset-size6 size3 mtight"><span | |
| class="mord mathnormal mtight">G</span></span></span></span><span | |
| class=vlist-s></span></span><span class=vlist-r><span | |
| class=vlist | |
| style=height:0.2753em><span></span></span></span></span></span></span></span></span></span></span> | |
| </p> | |
| <p>Now, finally, we consider the fourth type of run, in which all three detectors are set to 1, and an | |
| odd number of red flashes is never observed. The above instruction sets must determine the outcomes | |
| of these runs as well. For who is to prevent somebody from flipping the two switches set to 2 over | |
| to 1, just before the particles arrive? But an inspection of the upper rows reveals that <em>every | |
| one of the eight allowed instruction sets results in an odd number of red flashes when all three | |
| switches are set to 1.</em> If the instruction sets existed, then 111 runs would <em>always</em> | |
| have to produce an odd number of red flashes. But they <em>never</em> do, as I remarked, quite | |
| possibly without you strenuously objecting.</p> | |
| <p>Thus a <em>single</em> 111 run suffices all by itself to give data inconsistent with the otherwise | |
| compelling inference of the other switch settings 122, 212, and 221. This is the conundrum posed by | |
| the device: there is no obvious explanation for why the colors flash the way that they do.</p> | |
| <p>I shall not describe how contemporary physical theory accounts for the behavior of the device except | |
| to note that although, in its own way, the explanation is very simple, it is far from obvious and, | |
| some might argue, hardly an explanation at all. Instead, I only emphasize again that we live in a | |
| world in which such a device can be built; nature is stranger and more wonderful than we had once | |
| thought or could possible have imagined. Ponder the device a little more, if that seems too extreme | |
| a conclusion.</p> | |
| </div> | |
| </article> | |
| </main> |
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