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1 # Copyright (C) 2016 Free Software Foundation, Inc.
2 # This file is distributed under the same license as the PACKAGE package.
3 #
4 # Petter Reinholdtsen <pere@hungry.com>, 2016.
5 msgid ""
6 msgstr ""
7 "Project-Id-Version: \n"
8 "POT-Creation-Date: 2016-07-25 21:53+0200\n"
9 "PO-Revision-Date: 2016-07-26 21:57+0200\n"
10 "Last-Translator: Petter Reinholdtsen <pere@hungry.com>\n"
11 "Language-Team: Norwegian Bokmål <i18n-no@lister.ping.uio.no>\n"
12 "Language: nb\n"
13 "MIME-Version: 1.0\n"
14 "Content-Type: text/plain; charset=UTF-8\n"
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16 "Plural-Forms: nplurals=2; plural=(n != 1);\n"
17 "X-Generator: Lokalize 1.5\n"
18
19 #. type: Plain text
20 msgid "From The Skeptical Inquirer, Fall 1989, Vol. 14, No. 1, Pp. 35-44"
21 msgstr "Fra The Skeptical Inquirer, høsten 1989, vol. 14, no. 1, s. 35-44"
22
23 #. type: Plain text
24 msgid "The Relativity of Wrong"
25 msgstr "Relativiteten til galt"
26
27 #. type: Plain text
28 msgid "By Isaac Asimov"
29 msgstr "Av Isaac Asimov. Oversatt til bokmål av Petter Reinholdtsen"
30
31 #. type: Plain text
32 msgid ""
33 "I RECEIVED a letter the other day. It was handwritten in crabbed penmanship "
34 "so that it was very difficult to read. Nevertheless, I tried to make it out "
35 "just in case it might prove to be important. In the first sentence, the "
36 "writer told me he was majoring in English literature, but felt he needed to "
37 "teach me science. (I sighed a bit, for I knew very few English Lit majors "
38 "who are equipped to teach me science, but I am very aware of the vast state "
39 "of my ignorance and I am prepared to learn as much as I can from anyone, so "
40 "I read on.)"
41 msgstr ""
42 "Jeg fikk et brev her om dagen. Det var håndskrevet med knotete håndskrift "
43 "som gjorde det vanskelig å lese. Jeg forsøkte uansett å forstå hva som sto "
44 "der i tilfelle det skulle vise seg å være noe viktig. I den første "
45 "setningen forklarte forfatteren at han hadde hovedfag i engelsk litteratur "
46 "men "
47 "følte at han trengte å lære meg naturvitenskap. (Jeg sukket litt, da jeg vet "
48 "veldig få med engelsk hovedfag som er utstyrt til å lære meg naturvitenskap. "
49 "Men jeg er godt kjent med det enorme omfanget av alt jeg ikke vet og klar til "
50 "å "
51 "lære så mye jeg kan fra hvem det skal være, så jeg fortsatte å lese.)"
52
53 #. type: Plain text
54 msgid ""
55 "It seemed that in one of my innumerable essays, I had expressed a certain "
56 "gladness at living in a century in which we finally got the basis of the "
57 "universe straight."
58 msgstr ""
59 "Det virket som om at jeg i et av mine utallige tekster hadde gitt uttrykk "
60 "for en viss glede over å leve i et århundre hvor vi endelig hadde fått "
61 "grunnlaget for universet riktig."
62
63 #. type: Plain text
64 msgid ""
65 "I didn't go into detail in the matter, but what I meant was that we now know "
66 "the basic rules governing the universe, together with the gravitational "
67 "interrelationships of its gross components, as shown in the theory of "
68 "relativity worked out between 1905 and 1916. We also know the basic rules "
69 "governing the subatomic particles and their interrelationships, since these "
70 "are very neatly described by the quantum theory worked out between 1900 and "
71 "1930. What's more, we have found that the galaxies and clusters of galaxies "
72 "are the basic units of the physical universe, as discovered between 1920 and "
73 "1930."
74 msgstr ""
75 "Jeg gikk ikke i detaljer, men det jeg mente var at vi nå vet de grunnleggende "
76 "reglene som styrer universet og hvordan gravitasjonen for mesteparten virker "
77 "sammen, slik relativitetsteorien utarbeidet mellom 1905 og 1916 viser. Vi "
78 "kjenner også til de grunnleggende reglene som styrer subatomære partikler og "
79 "deres forhold til hverandre, da disse er svært godt beskrevet av "
80 "kvanteteorien som ble utarbeidet mellom 1900 og 1930. I tillegg har vi "
81 "funnet ut at galakser og samlinger av galakser er de grunnleggende enhetene "
82 "som utgjør det fysiske universet, slik det ble oppdaget mellom 1920 og 1930."
83
84 #. type: Plain text
85 msgid "These are all twentieth-century discoveries, you see."
86 msgstr "Disse, ser du, er alle oppdagelser fra det tyvende århundre."
87
88 #. type: Plain text
89 msgid ""
90 "The young specialist in English Lit, having quoted me, went on to lecture me "
91 "severely on the fact that in every century people have thought they "
92 "understood the universe at last, and in every century they were proved to be "
93 "wrong. It follows that the one thing we can say about our modern \"knowledge"
94 "\" is that it is wrong. The young man then quoted with approval what "
95 "Socrates had said on learning that the Delphic oracle had proclaimed him the "
96 "wisest man in Greece. \"If I am the wisest man,\" said Socrates, \"it is "
97 "because I alone know that I know nothing.\" the implication was that I was "
98 "very foolish because I was under the impression I knew a great deal."
99 msgstr ""
100
101 #. type: Plain text
102 msgid ""
103 "My answer to him was, \"John, when people thought the earth was flat, they "
104 "were wrong. When people thought the earth was spherical, they were wrong. "
105 "But if you think that thinking the earth is spherical is just as wrong as "
106 "thinking the earth is flat, then your view is wronger than both of them put "
107 "together.\""
108 msgstr ""
109 "Jeg svarte ham slik: «Da folk tenkte at jorden var flat, John, så tok de "
110 "feil. Når folk tenkte at orden var sfærisk, så tok de feil. Men hvis du "
111 "tror at det å tenke at jorden er sfærisk er like galt som å tenke at jorda er "
112 "flat, så er ditt syn mer feil enn begge to slått sammen.»"
113
114 #. type: Plain text
115 msgid ""
116 "The basic trouble, you see, is that people think that \"right\" and \"wrong"
117 "\" are absolute; that everything that isn't perfectly and completely right "
118 "is totally and equally wrong."
119 msgstr ""
120 "Du forstår, det grunnleggende problemet er at folk tenker at «riktig» og "
121 "«galt» er absolutter. Alt alt som ikke er perfekt og fullstendig riktig er "
122 "fullstendig og likeverdig galt."
123
124 #. type: Plain text
125 msgid ""
126 "However, I don't think that's so. It seems to me that right and wrong are "
127 "fuzzy concepts, and I will devote this essay to an explanation of why I "
128 "think so."
129 msgstr ""
130 "Jeg tror derimot ikke at det er slik. For meg virker det som om riktig og "
131 "feil er uklare konsepter, og jeg vil bruke denne teksten til å forklare "
132 "hvorfor jeg mener dette."
133
134 #. type: Plain text
135 msgid ""
136 "When my friend the English literature expert tells me that in every century "
137 "scientists think they have worked out the universe and are always wrong, "
138 "what I want to know is how wrong are they? Are they always wrong to the same "
139 "degree? Let's take an example."
140 msgstr ""
141
142 #. type: Plain text
143 msgid ""
144 "In the early days of civilization, the general feeling was that the earth "
145 "was flat. This was not because people were stupid, or because they were "
146 "intent on believing silly things. They felt it was flat on the basis of "
147 "sound evidence. It was not just a matter of \"That's how it looks,\" because "
148 "the earth does not look flat. It looks chaotically bumpy, with hills, "
149 "valleys, ravines, cliffs, and so on."
150 msgstr ""
151
152 #. type: Plain text
153 msgid ""
154 "Of course there are plains where, over limited areas, the earth's surface "
155 "does look fairly flat. One of those plains is in the Tigris-Euphrates area, "
156 "where the first historical civilization (one with writing) developed, that "
157 "of the Sumerians."
158 msgstr ""
159
160 #. type: Plain text
161 msgid ""
162 "Perhaps it was the appearance of the plain that persuaded the clever "
163 "Sumerians to accept the generalization that the earth was flat; that if you "
164 "somehow evened out all the elevations and depressions, you would be left "
165 "with flatness. Contributing to the notion may have been the fact that "
166 "stretches of water (ponds and lakes) looked pretty flat on quiet days."
167 msgstr ""
168
169 #. type: Plain text
170 msgid ""
171 "Another way of looking at it is to ask what is the \"curvature\" of the "
172 "earth's surface Over a considerable length, how much does the surface "
173 "deviate (on the average) from perfect flatness. The flat-earth theory would "
174 "make it seem that the surface doesn't deviate from flatness at all, that its "
175 "curvature is 0 to the mile."
176 msgstr ""
177 "En annen måte å se på det er å spørre seg hva «krumningen» for jordens "
178 "overflate er. Over en betydelig avstand, hvor mye avviker overflaten (i "
179 "gjennomsnitt) fra perfekt flathet. Jorden er flat-teorien ville få det til å "
180 "se ut som om overflaten ikke avviker fra flathet i det hele tatt, dvs. at "
181 "dens «krumning» er 0 per mil."
182
183 #. type: Plain text
184 msgid ""
185 "Nowadays, of course, we are taught that the flat-earth theory is wrong; that "
186 "it is all wrong, terribly wrong, absolutely. But it isn't. The curvature of "
187 "the earth is nearly 0 per mile, so that although the flat-earth theory is "
188 "wrong, it happens to be nearly right. That's why the theory lasted so long."
189 msgstr ""
190
191 #. type: Plain text
192 msgid ""
193 "There were reasons, to be sure, to find the flat-earth theory unsatisfactory "
194 "and, about 350 B.C., the Greek philosopher Aristotle summarized them. First, "
195 "certain stars disappeared beyond the Southern Hemisphere as one traveled "
196 "north, and beyond the Northern Hemisphere as one traveled south. Second, the "
197 "earth's shadow on the moon during a lunar eclipse was always the arc of a "
198 "circle. Third, here on the earth itself, ships disappeared beyond the "
199 "horizon hull-first in whatever direction they were traveling."
200 msgstr ""
201
202 #. type: Plain text
203 msgid ""
204 "All three observations could not be reasonably explained if the earth's "
205 "surface were flat, but could be explained by assuming the earth to be a "
206 "sphere."
207 msgstr ""
208
209 #. type: Plain text
210 msgid ""
211 "What's more, Aristotle believed that all solid matter tended to move toward "
212 "a common center, and if solid matter did this, it would end up as a sphere. "
213 "A given volume of matter is, on the average, closer to a common center if it "
214 "is a sphere than if it is any other shape whatever."
215 msgstr ""
216
217 #. type: Plain text
218 msgid ""
219 "About a century after Aristotle, the Greek philosopher Eratosthenes noted "
220 "that the sun cast a shadow of different lengths at different latitudes (all "
221 "the shadows would be the same length if the earth's surface were flat). From "
222 "the difference in shadow length, he calculated the size of the earthly "
223 "sphere and it turned out to be 25,000 miles in circumference."
224 msgstr ""
225
226 #. type: Plain text
227 msgid ""
228 "The curvature of such a sphere is about 0.000126 per mile, a quantity very "
229 "close to 0 per mile, as you can see, and one not easily measured by the "
230 "techniques at the disposal of the ancients. The tiny difference between 0 "
231 "and 0.000126 accounts for the fact that it took so long to pass from the "
232 "flat earth to the spherical earth."
233 msgstr ""
234
235 #. type: Plain text
236 msgid ""
237 "Mind you, even a tiny difference, such as that between 0 and 0.000126, can "
238 "be extremely important. That difference mounts up. The earth cannot be "
239 "mapped over large areas with any accuracy at all if the difference isn't "
240 "taken into account and if the earth isn't considered a sphere rather than a "
241 "flat surface. Long ocean voyages can't be undertaken with any reasonable way "
242 "of locating one's own position in the ocean unless the earth is considered "
243 "spherical rather than flat."
244 msgstr ""
245
246 #. type: Plain text
247 msgid ""
248 "Furthermore, the flat earth presupposes the possibility of an infinite "
249 "earth, or of the existence of an \"end\" to the surface. The spherical "
250 "earth, however, postulates an earth that is both endless and yet finite, and "
251 "it is the latter postulate that is consistent with all later findings."
252 msgstr ""
253
254 #. type: Plain text
255 msgid ""
256 "So, although the flat-earth theory is only slightly wrong and is a credit to "
257 "its inventors, all things considered, it is wrong enough to be discarded in "
258 "favor of the spherical-earth theory."
259 msgstr ""
260
261 #. type: Plain text
262 msgid "And yet is the earth a sphere?"
263 msgstr "Men er virkelig jorden en sfære?"
264
265 #. type: Plain text
266 msgid ""
267 "No, it is not a sphere; not in the strict mathematical sense. A sphere has "
268 "certain mathematical properties - for instance, all diameters (that is, all "
269 "straight lines that pass from one point on its surface, through the center, "
270 "to another point on its surface) have the same length."
271 msgstr ""
272 "Nei, den er ikke en sfære, ikke i matematisk forstand. En sfære har visse "
273 "matematiske egenskaper - for eksempel har alle diametre (dvs. alle rette "
274 "linjer som går fra et punkt på overflaten, gjennom sentrum, til et annet "
275 "punkt på overflaten) samme lengde."
276
277 #. type: Plain text
278 msgid ""
279 "That, however, is not true of the earth. Various diameters of the earth "
280 "differ in length."
281 msgstr ""
282 "Dette er derimot ikke riktig for jorden. Forskjellige diametre gjennom "
283 "jorden har ulik lengde."
284
285 #. type: Plain text
286 msgid ""
287 "What gave people the notion the earth wasn't a true sphere? To begin with, "
288 "the sun and the moon have outlines that are perfect circles within the "
289 "limits of measurement in the early days of the telescope. This is "
290 "consistent with the supposition that the sun and the moon are perfectly "
291 "spherical in shape."
292 msgstr ""
293
294 #. type: Plain text
295 msgid ""
296 "However, when Jupiter and Saturn were observed by the first telescopic "
297 "observers, it became quickly apparent that the outlines of those planets "
298 "were not circles, but distinct ellipses. That meant that Jupiter and Saturn "
299 "were not true spheres."
300 msgstr ""
301
302 #. type: Plain text
303 msgid ""
304 "Isaac Newton, toward the end of the seventeenth century, showed that a "
305 "massive body would form a sphere under the pull of gravitational forces "
306 "(exactly as Aristotle had argued), but only if it were not rotating. If it "
307 "were rotating, a centrifugal effect would be set up that would lift the "
308 "body's substance against gravity, and this effect would be greater the "
309 "closer to the equator you progressed. The effect would also be greater the "
310 "more rapidly a spherical object rotated, and Jupiter and Saturn rotated very "
311 "rapidly indeed."
312 msgstr ""
313
314 #. type: Plain text
315 msgid ""
316 "The earth rotated much more slowly than Jupiter or Saturn so the effect "
317 "should be smaller, but it should still be there. Actual measurements of the "
318 "curvature of the earth were carried out in the eighteenth century and Newton "
319 "was proved correct."
320 msgstr ""
321
322 #. type: Plain text
323 msgid ""
324 "The earth has an equatorial bulge, in other words. It is flattened at the "
325 "poles. It is an \"oblate spheroid\" rather than a sphere. This means that "
326 "the various diameters of the earth differ in length. The longest diameters "
327 "are any of those that stretch from one point on the equator to an opposite "
328 "point on the equator. This \"equatorial diameter\" is 12,755 kilometers "
329 "(7,927 miles). The shortest diameter is from the North Pole to the South "
330 "Pole and this \"polar diameter\" is 12,711 kilometers (7,900 miles)."
331 msgstr ""
332
333 #. type: Plain text
334 msgid ""
335 "The difference between the longest and shortest diameters is 44 kilometers "
336 "(27 miles), and that means that the \"oblateness\" of the earth (its "
337 "departure from true sphericity) is 44/12755, or 0.0034. This amounts to l/3 "
338 "of 1 percent."
339 msgstr ""
340
341 #. type: Plain text
342 msgid ""
343 "To put it another way, on a flat surface, curvature is 0 per mile "
344 "everywhere. On the earth's spherical surface, curvature is 0.000126 per mile "
345 "everywhere (or 8 inches per mile). On the earth's oblate spheroidal surface, "
346 "the curvature varies from 7.973 inches to the mile to 8.027 inches to the "
347 "mile."
348 msgstr ""
349
350 #. type: Plain text
351 msgid ""
352 "The correction in going from spherical to oblate spheroidal is much smaller "
353 "than going from flat to spherical. Therefore, although the notion of the "
354 "earth as a sphere is wrong, strictly speaking, it is not as wrong as the "
355 "notion of the earth as flat."
356 msgstr ""
357
358 #. type: Plain text
359 msgid ""
360 "Even the oblate-spheroidal notion of the earth is wrong, strictly speaking. "
361 "In 1958, when the satellite Vanguard I was put into orbit about the earth, "
362 "it was able to measure the local gravitational pull of the earth--and "
363 "therefore its shape--with unprecedented precision. It turned out that the "
364 "equatorial bulge south of the equator was slightly bulgier than the bulge "
365 "north of the equator, and that the South Pole sea level was slightly nearer "
366 "the center of the earth than the North Pole sea level was."
367 msgstr ""
368
369 #. type: Plain text
370 msgid ""
371 "There seemed no other way of describing this than by saying the earth was "
372 "pear-shaped, and at once many people decided that the earth was nothing like "
373 "a sphere but was shaped like a Bartlett pear dangling in space. Actually, "
374 "the pear-like deviation from oblate-spheroid perfect was a matter of yards "
375 "rather than miles, and the adjustment of curvature was in the millionths of "
376 "an inch per mile."
377 msgstr ""
378
379 #. type: Plain text
380 msgid ""
381 "In short, my English Lit friend, living in a mental world of absolute rights "
382 "and wrongs, may be imagining that because all theories are wrong, the earth "
383 "may be thought spherical now, but cubical next century, and a hollow "
384 "icosahedron the next, and a doughnut shape the one after."
385 msgstr ""
386
387 #. type: Plain text
388 msgid ""
389 "What actually happens is that once scientists get hold of a good concept "
390 "they gradually refine and extend it with greater and greater subtlety as "
391 "their instruments of measurement improve. Theories are not so much wrong as "
392 "incomplete."
393 msgstr ""
394
395 #. type: Plain text
396 msgid ""
397 "This can be pointed out in many cases other than just the shape of the "
398 "earth. Even when a new theory seems to represent a revolution, it usually "
399 "arises out of small refinements. If something more than a small refinement "
400 "were needed, then the old theory would never have endured."
401 msgstr ""
402
403 #. type: Plain text
404 msgid ""
405 "Copernicus switched from an earth-centered planetary system to a sun-"
406 "centered one. In doing so, he switched from something that was obvious to "
407 "something that was apparently ridiculous. However, it was a matter of "
408 "finding better ways of calculating the motion of the planets in the sky, and "
409 "eventually the geocentric theory was just left behind. It was precisely "
410 "because the old theory gave results that were fairly good by the measurement "
411 "standards of the time that kept it in being so long."
412 msgstr ""
413
414 #. type: Plain text
415 msgid ""
416 "Again, it is because the geological formations of the earth change so slowly "
417 "and the living things upon it evolve so slowly that it seemed reasonable at "
418 "first to suppose that there was no change and that the earth and life always "
419 "existed as they do today. If that were so, it would make no difference "
420 "whether the earth and life were billions of years old or thousands. "
421 "Thousands were easier to grasp."
422 msgstr ""
423
424 #. type: Plain text
425 msgid ""
426 "But when careful observation showed that the earth and life were changing at "
427 "a rate that was very tiny but not zero, then it became clear that the earth "
428 "and life had to be very old. Modern geology came into being, and so did the "
429 "notion of biological evolution."
430 msgstr ""
431
432 #. type: Plain text
433 msgid ""
434 "If the rate of change were more rapid, geology and evolution would have "
435 "reached their modern state in ancient times. It is only because the "
436 "difference between the rate of change in a static universe and the rate of "
437 "change in an evolutionary one is that between zero and very nearly zero that "
438 "the creationists can continue propagating their folly."
439 msgstr ""
440
441 #. type: Plain text
442 msgid ""
443 "Since the refinements in theory grow smaller and smaller, even quite ancient "
444 "theories must have been sufficiently right to allow advances to be made; "
445 "advances that were not wiped out by subsequent refinements."
446 msgstr ""
447
448 #. type: Plain text
449 msgid ""
450 "The Greeks introduced the notion of latitude and longitude, for instance, "
451 "and made reasonable maps of the Mediterranean basin even without taking "
452 "sphericity into account, and we still use latitude and longitude today."
453 msgstr ""
454 "Grekerne introduserte for eksempel begrepene lengdegrad og breddegrad, og "
455 "laget fornuftige kart over middelhavet, uten å ta hensyn til sfæriskiskhet, "
456 "og vi bruker fortsatt lengdegrad og breddegrad i dag."
457
458 #. type: Plain text
459 msgid ""
460 "The Sumerians were probably the first to establish the principle that "
461 "planetary movements in the sky exhibit regularity and can be predicted, and "
462 "they proceeded to work out ways of doing so even though they assumed the "
463 "earth to be the center of the universe. Their measurements have been "
464 "enormously refined but the principle remains."
465 msgstr ""
466
467 #. type: Plain text
468 msgid ""
469 "Naturally, the theories we now have might be considered wrong in the "
470 "simplistic sense of my English Lit correspondent, but in a much truer and "
471 "subtler sense, they need only be considered incomplete."
472 msgstr ""
473
474