Document (#33667)

Author
Barrow, J.D.
Title
¬Die Entdeckung des Unmöglichen : Forschung an den Grenzen des Wissens
Issue
Aus dem Engl. u?bers. von Heiner Must.
Imprint
Heidelberg : Spektrum Akademischer Verlag
Year
2001
Pages
411 S
Isbn
3-8274-1110-6
Abstract
Grenzen sind dazu da, dass man sie überschreitet. In diesem Sinne denkt John D. Barrow über die Grenzen der Wissenschaft nach - mit den Methoden moderner Wissenschaft. Das 'Unmögliche' war und wird immer nur ein Synonym für die Tür sein, die in das nächste Zimmer führt, und das Verlangen, wenigstens einmal durch das Schlüsselloch zu schauen, war und wird immer der Motor sein, der die Wissenschaft am laufen hält. Ohne diesen Antrieb gäbe es keine neuen Erkenntnisse: Fortschritt ist also de facto nur durch die Existenz ungelöster Probleme möglich. Daß diese keineswegs nur an der vorderen Front der Wissenschaften diskutiert werden, vermag zunächst nicht einleuchten, und doch sind es oft augenscheinlich triviale Probleme, die die Wissenschaftler in größte Not bringen. Wo liegt schließlich das Problem, wenn ein Hersteller von Computerplatinen seine Produktionsprozesse optimieren will, indem der Roboter die gut 3000 Lötpunkte auf dem kürzesten Weg ansteuern soll? Nun, dieses auf den ersten Blick wenig spektakuläre "Problem des Handlungsreisenden" hat einen modernen Computer immerhin eineinhalb Jahre Rechenzeit gekostet. Dieses Beispiel kann nur einen winzigen Einblick in das 'Unmögliche' geben, das der Mathematiker und Physiker John D. Barrow hier in faszinierender und spannender Weise schildert. Dabei schlägt er einen Bogen von den visuellen Paradoxien der Künstler Reutersvärd oder Escher über die Komplexität und Flexibilität des menschlichen Gehirns bis hin zu Gödels Theorem zur Konsistenz der Arithmetik. Dem überaus weit gebildeten Barrow gelingt es dabei, sich an den Grenzen naturwissenschaftlichen Wissens zu bewegen. Dort, wo die Verschmelzung mit der Philosophie stattfindet, die Ausdruck ist für unsere Suche nach dem, was die 'Welt in den Angeln' hält. Diese Grenzen verschieben sich naturgemäss im Laufe des technischen und wissenschaftlichen Fortschritts und Barrow zeigt, daß hier an dieser Grenze das eigentlich Spannende geschieht, aber auch, daß die Frage woher wir kommen, wohl niemals beantwortet werden kann. Jedenfalls, soweit wir wissen.
Footnote
Originaltitel: Impossibility
Field
Wissenschaftstheorie
RSWK
Grenzen der Wissenschaft
Unmögliches / Grenzen der Wissenschaft / Grenzen der Forschung / Fortschritt (ÖVK)
Unmöglichkeit / Wissenschaftstheorie (BVB)
BK
02.02 / Wissenschaftstheorie
GHBS
STG (SI)

Similar documents (content)

  1. Poundstone, W.: Im Labyrinth des Denkens : Wenn Logik nicht weiterkommt: Paradoxien, Zwickmühlen, Sackgassen, Rätsel, und die Hinfälligkeit des Wissens (1992) 0.20
    0.19556044 = sum of:
      0.19556044 = product of:
        0.6984301 = sum of:
          0.028534025 = weight(abstract_txt:dabei in 709) [ClassicSimilarity], result of:
            0.028534025 = score(doc=709,freq=1.0), product of:
              0.07791728 = queryWeight, product of:
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.01662243 = queryNorm
              0.3662092 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
          0.1187517 = weight(abstract_txt:escher in 709) [ClassicSimilarity], result of:
            0.1187517 = score(doc=709,freq=1.0), product of:
              0.16000797 = queryWeight, product of:
                1.0133021 = boost
                9.499662 = idf(docFreq=8, maxDocs=44218)
                0.01662243 = queryNorm
              0.74216115 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.499662 = idf(docFreq=8, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
          0.04541428 = weight(abstract_txt:dieses in 709) [ClassicSimilarity], result of:
            0.04541428 = score(doc=709,freq=2.0), product of:
              0.084303066 = queryWeight, product of:
                1.0401711 = boost
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.01662243 = queryNorm
              0.5387026 = fieldWeight in 709, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
          0.3769238 = weight(title_txt:paradoxien in 709) [ClassicSimilarity], result of:
            0.3769238 = score(doc=709,freq=1.0), product of:
              0.1739584 = queryWeight, product of:
                1.0565519 = boost
                9.905128 = idf(docFreq=5, maxDocs=44218)
                0.01662243 = queryNorm
              2.1667466 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.905128 = idf(docFreq=5, maxDocs=44218)
                0.21875 = fieldNorm(doc=709)
          0.040151983 = weight(abstract_txt:hier in 709) [ClassicSimilarity], result of:
            0.040151983 = score(doc=709,freq=1.0), product of:
              0.09784299 = queryWeight, product of:
                1.1205932 = boost
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.01662243 = queryNorm
              0.41037157 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
          0.05640115 = weight(abstract_txt:probleme in 709) [ClassicSimilarity], result of:
            0.05640115 = score(doc=709,freq=1.0), product of:
              0.12272047 = queryWeight, product of:
                1.2549939 = boost
                5.8827567 = idf(docFreq=334, maxDocs=44218)
                0.01662243 = queryNorm
              0.45959038 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.8827567 = idf(docFreq=334, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
          0.032253217 = weight(abstract_txt:einen in 709) [ClassicSimilarity], result of:
            0.032253217 = score(doc=709,freq=1.0), product of:
              0.09678414 = queryWeight, product of:
                1.3649944 = boost
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.01662243 = queryNorm
              0.333249 = fieldWeight in 709, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.078125 = fieldNorm(doc=709)
        0.28 = coord(7/25)
    
  2. Thesaurus der exakten Wissenschaften : Unter Mitarb. von Charles Auffray u.a (2001) 0.17
    0.1714862 = sum of:
      0.1714862 = product of:
        0.5358944 = sum of:
          0.016056374 = weight(abstract_txt:dieses in 2414) [ClassicSimilarity], result of:
            0.016056374 = score(doc=2414,freq=1.0), product of:
              0.084303066 = queryWeight, product of:
                1.0401711 = boost
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.01662243 = queryNorm
              0.19046015 = fieldWeight in 2414, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.029745951 = weight(abstract_txt:sein in 2414) [ClassicSimilarity], result of:
            0.029745951 = score(doc=2414,freq=3.0), product of:
              0.08817048 = queryWeight, product of:
                1.0637627 = boost
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.01662243 = queryNorm
              0.33736858 = fieldWeight in 2414, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.03485984 = weight(abstract_txt:immer in 2414) [ClassicSimilarity], result of:
            0.03485984 = score(doc=2414,freq=4.0), product of:
              0.08904482 = queryWeight, product of:
                1.069024 = boost
                5.0110264 = idf(docFreq=800, maxDocs=44218)
                0.01662243 = queryNorm
              0.39148644 = fieldWeight in 2414, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                5.0110264 = idf(docFreq=800, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.028391737 = weight(abstract_txt:hier in 2414) [ClassicSimilarity], result of:
            0.028391737 = score(doc=2414,freq=2.0), product of:
              0.09784299 = queryWeight, product of:
                1.1205932 = boost
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.01662243 = queryNorm
              0.2901765 = fieldWeight in 2414, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.06256003 = weight(abstract_txt:wissens in 2414) [ClassicSimilarity], result of:
            0.06256003 = score(doc=2414,freq=3.0), product of:
              0.14473356 = queryWeight, product of:
                1.3629118 = boost
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.01662243 = queryNorm
              0.43224272 = fieldWeight in 2414, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.027932104 = weight(abstract_txt:einen in 2414) [ClassicSimilarity], result of:
            0.027932104 = score(doc=2414,freq=3.0), product of:
              0.09678414 = queryWeight, product of:
                1.3649944 = boost
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.01662243 = queryNorm
              0.28860208 = fieldWeight in 2414, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.1745556 = weight(abstract_txt:wissenschaft in 2414) [ClassicSimilarity], result of:
            0.1745556 = score(doc=2414,freq=7.0), product of:
              0.29352713 = queryWeight, product of:
                3.0688612 = boost
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.01662243 = queryNorm
              0.59468305 = fieldWeight in 2414, product of:
                2.6457512 = tf(freq=7.0), with freq of:
                  7.0 = termFreq=7.0
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
          0.16179276 = weight(abstract_txt:grenzen in 2414) [ClassicSimilarity], result of:
            0.16179276 = score(doc=2414,freq=1.0), product of:
              0.624316 = queryWeight, product of:
                5.661289 = boost
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.01662243 = queryNorm
              0.25915202 = fieldWeight in 2414, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.0390625 = fieldNorm(doc=2414)
        0.32 = coord(8/25)
    
  3. Pöppel, E.: Wissen - und wie es kommuniziert werden kann (2007) 0.14
    0.14057517 = sum of:
      0.14057517 = product of:
        0.4392974 = sum of:
          0.027478132 = weight(abstract_txt:sein in 1943) [ClassicSimilarity], result of:
            0.027478132 = score(doc=1943,freq=1.0), product of:
              0.08817048 = queryWeight, product of:
                1.0637627 = boost
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.01662243 = queryNorm
              0.31164774 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.02788787 = weight(abstract_txt:immer in 1943) [ClassicSimilarity], result of:
            0.02788787 = score(doc=1943,freq=1.0), product of:
              0.08904482 = queryWeight, product of:
                1.069024 = boost
                5.0110264 = idf(docFreq=800, maxDocs=44218)
                0.01662243 = queryNorm
              0.31318915 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.0110264 = idf(docFreq=800, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.032121588 = weight(abstract_txt:hier in 1943) [ClassicSimilarity], result of:
            0.032121588 = score(doc=1943,freq=1.0), product of:
              0.09784299 = queryWeight, product of:
                1.1205932 = boost
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.01662243 = queryNorm
              0.32829726 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.041054364 = weight(abstract_txt:forschung in 1943) [ClassicSimilarity], result of:
            0.041054364 = score(doc=1943,freq=1.0), product of:
              0.11523152 = queryWeight, product of:
                1.2160985 = boost
                5.700435 = idf(docFreq=401, maxDocs=44218)
                0.01662243 = queryNorm
              0.3562772 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.700435 = idf(docFreq=401, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.06381061 = weight(abstract_txt:probleme in 1943) [ClassicSimilarity], result of:
            0.06381061 = score(doc=1943,freq=2.0), product of:
              0.12272047 = queryWeight, product of:
                1.2549939 = boost
                5.8827567 = idf(docFreq=334, maxDocs=44218)
                0.01662243 = queryNorm
              0.51996714 = fieldWeight in 1943, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.8827567 = idf(docFreq=334, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.11558095 = weight(abstract_txt:wissens in 1943) [ClassicSimilarity], result of:
            0.11558095 = score(doc=1943,freq=4.0), product of:
              0.14473356 = queryWeight, product of:
                1.3629118 = boost
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.01662243 = queryNorm
              0.7985774 = fieldWeight in 1943, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                6.3886194 = idf(docFreq=201, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.025802575 = weight(abstract_txt:einen in 1943) [ClassicSimilarity], result of:
            0.025802575 = score(doc=1943,freq=1.0), product of:
              0.09678414 = queryWeight, product of:
                1.3649944 = boost
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.01662243 = queryNorm
              0.2665992 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
          0.10556131 = weight(abstract_txt:wissenschaft in 1943) [ClassicSimilarity], result of:
            0.10556131 = score(doc=1943,freq=1.0), product of:
              0.29352713 = queryWeight, product of:
                3.0688612 = boost
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.01662243 = queryNorm
              0.3596305 = fieldWeight in 1943, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.0625 = fieldNorm(doc=1943)
        0.32 = coord(8/25)
    
  4. Orthmann, C.; Näcke, L.: ¬Die Chancen virtueller sozialer Gemeinschaften im Internet für einen interkulturellen Wissenschaftsdiskurs (2000) 0.13
    0.13162492 = sum of:
      0.13162492 = product of:
        0.65812457 = sum of:
          0.03424083 = weight(abstract_txt:dabei in 6640) [ClassicSimilarity], result of:
            0.03424083 = score(doc=6640,freq=1.0), product of:
              0.07791728 = queryWeight, product of:
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.01662243 = queryNorm
              0.43945107 = fieldWeight in 6640, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.09375 = fieldNorm(doc=6640)
          0.038535297 = weight(abstract_txt:dieses in 6640) [ClassicSimilarity], result of:
            0.038535297 = score(doc=6640,freq=1.0), product of:
              0.084303066 = queryWeight, product of:
                1.0401711 = boost
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.01662243 = queryNorm
              0.45710433 = fieldWeight in 6640, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.09375 = fieldNorm(doc=6640)
          0.038703863 = weight(abstract_txt:einen in 6640) [ClassicSimilarity], result of:
            0.038703863 = score(doc=6640,freq=1.0), product of:
              0.09678414 = queryWeight, product of:
                1.3649944 = boost
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.01662243 = queryNorm
              0.39989883 = fieldWeight in 6640, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.09375 = fieldNorm(doc=6640)
          0.15834196 = weight(abstract_txt:wissenschaft in 6640) [ClassicSimilarity], result of:
            0.15834196 = score(doc=6640,freq=1.0), product of:
              0.29352713 = queryWeight, product of:
                3.0688612 = boost
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.01662243 = queryNorm
              0.53944576 = fieldWeight in 6640, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.754088 = idf(docFreq=380, maxDocs=44218)
                0.09375 = fieldNorm(doc=6640)
          0.3883026 = weight(abstract_txt:grenzen in 6640) [ClassicSimilarity], result of:
            0.3883026 = score(doc=6640,freq=1.0), product of:
              0.624316 = queryWeight, product of:
                5.661289 = boost
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.01662243 = queryNorm
              0.6219649 = fieldWeight in 6640, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.09375 = fieldNorm(doc=6640)
        0.2 = coord(5/25)
    
  5. Kämmerer, C.: Vom Image zum Volltext : Möglichkeiten und Grenzen des Einsatzes von OCR beim alten Buch (2009) 0.13
    0.13011003 = sum of:
      0.13011003 = product of:
        0.46467865 = sum of:
          0.017120415 = weight(abstract_txt:dabei in 2878) [ClassicSimilarity], result of:
            0.017120415 = score(doc=2878,freq=1.0), product of:
              0.07791728 = queryWeight, product of:
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.01662243 = queryNorm
              0.21972553 = fieldWeight in 2878, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.687478 = idf(docFreq=1106, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.019267648 = weight(abstract_txt:dieses in 2878) [ClassicSimilarity], result of:
            0.019267648 = score(doc=2878,freq=1.0), product of:
              0.084303066 = queryWeight, product of:
                1.0401711 = boost
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.01662243 = queryNorm
              0.22855216 = fieldWeight in 2878, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.8757796 = idf(docFreq=916, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.020608598 = weight(abstract_txt:sein in 2878) [ClassicSimilarity], result of:
            0.020608598 = score(doc=2878,freq=1.0), product of:
              0.08817048 = queryWeight, product of:
                1.0637627 = boost
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.01662243 = queryNorm
              0.2337358 = fieldWeight in 2878, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.986364 = idf(docFreq=820, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.02409119 = weight(abstract_txt:hier in 2878) [ClassicSimilarity], result of:
            0.02409119 = score(doc=2878,freq=1.0), product of:
              0.09784299 = queryWeight, product of:
                1.1205932 = boost
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.01662243 = queryNorm
              0.24622294 = fieldWeight in 2878, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.252756 = idf(docFreq=628, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.027367761 = weight(abstract_txt:einen in 2878) [ClassicSimilarity], result of:
            0.027367761 = score(doc=2878,freq=2.0), product of:
              0.09678414 = queryWeight, product of:
                1.3649944 = boost
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.01662243 = queryNorm
              0.28277114 = fieldWeight in 2878, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                4.2655873 = idf(docFreq=1687, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.081651606 = weight(abstract_txt:fortschritt in 2878) [ClassicSimilarity], result of:
            0.081651606 = score(doc=2878,freq=1.0), product of:
              0.22076695 = queryWeight, product of:
                1.6832559 = boost
                7.890225 = idf(docFreq=44, maxDocs=44218)
                0.01662243 = queryNorm
              0.3698543 = fieldWeight in 2878, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.890225 = idf(docFreq=44, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
          0.27457142 = weight(abstract_txt:grenzen in 2878) [ClassicSimilarity], result of:
            0.27457142 = score(doc=2878,freq=2.0), product of:
              0.624316 = queryWeight, product of:
                5.661289 = boost
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.01662243 = queryNorm
              0.4397956 = fieldWeight in 2878, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.634292 = idf(docFreq=157, maxDocs=44218)
                0.046875 = fieldNorm(doc=2878)
        0.28 = coord(7/25)