Document (#28664)

Author
Borwein, J.
Stanway, T.
Title
Knowledge and community in mathematics
Source
Mathematical intelligencer. 27(2005) no.2, S.7-16
Year
2005
Abstract
"Each society has its regime of truth, its "general politics" of truth: that is, the types of discourse which it accepts and makes function as true; the mechanisms and instances which enable one to distinguish true and false statements, the means by which each is sanctioned; the techniques and procedures accorded value in the acquisition of truth; the status of Chose who are charged with saying what counts as truth." (Michel Foucault) Henri Lebesgue once remarked that "a mathematician, in so far as he is a mathematician, need not preoccupy himself with philosophy." He went an to add that this was "an opinion, moreover, which has been expressed by many philosophers." The idea that mathematicians can do mathematics without a precise philosophical understanding of what they are doing is, by observation, mercifully true. However, while a neglect of philosophical issues does not impede mathematical discussion, discussion about mathematics quickly becomes embroiled in philosophy, and perforce encompasses the question of the nature of mathematical knowledge. Within this discussion, some attention has been paid to the resonance between the failure of twentieth-century efforts to enunciate a comprehensive, absolute foundation for mathematics and the postmodern deconstruction of meaning and its corresponding banishment of encornpassing philosophical perspectives from the centre fixe. Of note in this commentary is the contribution of Vladimir Tasic In his book, Mathematics and the Roots of Postmodern Thought, he comments an the broad range of ideas about the interrelationship between language, meaning, and society that are commonly considered to fall under the umbrella of postmodernism. Stating that "attempts to make sense of this elusive concept threaten to outnumber attempts to square the circle," he focuses his attention an two relatively welldeveloped aspects of postmodern theory: "poststructuralism" and "deconstruction.' He argues that the development of these theories, in the works of Derrida and others, resonates with the debates surrounding foundationism which preoccupied the philosophy of mathematics in the early stages of the last century and may even have been partly informed by those debates. Our present purpose is not to revisit the connections between the foundationist debates and the advent of postmodern thought, but rather to describe and discuss some of the ways in which epistemological relativism and other postmodern perspectives are manifest in the changing ways in which mathematicians do mathematics and express mathematical knowledge. The analysis is not intended to be a lament; but it does contain an element of warning. lt is central to our purpose that the erosion of universally fixed perspectives of acceptable practice in both mathematical activity and its publication be acknowledged as presenting significant challenges to the mathematical community.
Field
Mathematik

Similar documents (content)

  1. Gardner, M.: Is mathematics "out there"? (2001) 0.49
    0.48575926 = sum of:
      0.48575926 = product of:
        1.2143981 = sum of:
          0.012341359 = weight(abstract_txt:been in 716) [ClassicSimilarity], result of:
            0.012341359 = score(doc=716,freq=1.0), product of:
              0.05429665 = queryWeight, product of:
                1.0425817 = boost
                3.6367204 = idf(docFreq=3059, maxDocs=42740)
                0.014320331 = queryNorm
              0.22729503 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.6367204 = idf(docFreq=3059, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.18843494 = weight(abstract_txt:mathematicians in 716) [ClassicSimilarity], result of:
            0.18843494 = score(doc=716,freq=4.0), product of:
              0.18390277 = queryWeight, product of:
                1.5666503 = boost
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.014320331 = queryNorm
              1.0246444 = fieldWeight in 716, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.13604344 = weight(abstract_txt:mathematician in 716) [ClassicSimilarity], result of:
            0.13604344 = score(doc=716,freq=1.0), product of:
              0.23493752 = queryWeight, product of:
                1.7707373 = boost
                9.264996 = idf(docFreq=10, maxDocs=42740)
                0.014320331 = queryNorm
              0.5790622 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.264996 = idf(docFreq=10, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.0210096 = weight(abstract_txt:that in 716) [ClassicSimilarity], result of:
            0.0210096 = score(doc=716,freq=5.0), product of:
              0.06277824 = queryWeight, product of:
                1.8306804 = boost
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.014320331 = queryNorm
              0.33466372 = fieldWeight in 716, product of:
                2.236068 = tf(freq=5.0), with freq of:
                  5.0 = termFreq=5.0
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.07645801 = weight(abstract_txt:true in 716) [ClassicSimilarity], result of:
            0.07645801 = score(doc=716,freq=1.0), product of:
              0.18315259 = queryWeight, product of:
                1.9148295 = boost
                6.679284 = idf(docFreq=145, maxDocs=42740)
                0.014320331 = queryNorm
              0.41745526 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.679284 = idf(docFreq=145, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.015113511 = weight(abstract_txt:which in 716) [ClassicSimilarity], result of:
            0.015113511 = score(doc=716,freq=1.0), product of:
              0.08243284 = queryWeight, product of:
                1.962285 = boost
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.014320331 = queryNorm
              0.18334334 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.14547327 = weight(abstract_txt:truth in 716) [ClassicSimilarity], result of:
            0.14547327 = score(doc=716,freq=1.0), product of:
              0.30952764 = queryWeight, product of:
                2.8743699 = boost
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.014320331 = queryNorm
              0.46998474 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.10897458 = weight(abstract_txt:mathematical in 716) [ClassicSimilarity], result of:
            0.10897458 = score(doc=716,freq=1.0), product of:
              0.2750199 = queryWeight, product of:
                3.0292144 = boost
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.014320331 = queryNorm
              0.39624253 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.25747135 = weight(abstract_txt:postmodern in 716) [ClassicSimilarity], result of:
            0.25747135 = score(doc=716,freq=1.0), product of:
              0.48786527 = queryWeight, product of:
                4.034576 = boost
                8.444015 = idf(docFreq=24, maxDocs=42740)
                0.014320331 = queryNorm
              0.5277509 = fieldWeight in 716, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.444015 = idf(docFreq=24, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
          0.25307816 = weight(abstract_txt:mathematics in 716) [ClassicSimilarity], result of:
            0.25307816 = score(doc=716,freq=2.0), product of:
              0.42823595 = queryWeight, product of:
                4.4725327 = boost
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.014320331 = queryNorm
              0.5909783 = fieldWeight in 716, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.0625 = fieldNorm(doc=716)
        0.4 = coord(10/25)
    
  2. Chaitin, G.J.: Conversations with a mathematician : Math, art, science and the limits of reason (2002) 0.26
    0.25722823 = sum of:
      0.25722823 = product of:
        0.9186722 = sum of:
          0.010890122 = weight(abstract_txt:between in 3213) [ClassicSimilarity], result of:
            0.010890122 = score(doc=3213,freq=1.0), product of:
              0.049952 = queryWeight, product of:
                3.4881876 = idf(docFreq=3549, maxDocs=42740)
                0.014320331 = queryNorm
              0.21801172 = fieldWeight in 3213, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.4881876 = idf(docFreq=3549, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.09421747 = weight(abstract_txt:mathematicians in 3213) [ClassicSimilarity], result of:
            0.09421747 = score(doc=3213,freq=1.0), product of:
              0.18390277 = queryWeight, product of:
                1.5666503 = boost
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.014320331 = queryNorm
              0.5123222 = fieldWeight in 3213, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.059551362 = weight(abstract_txt:philosophy in 3213) [ClassicSimilarity], result of:
            0.059551362 = score(doc=3213,freq=1.0), product of:
              0.15504539 = queryWeight, product of:
                1.7617854 = boost
                6.1454377 = idf(docFreq=248, maxDocs=42740)
                0.014320331 = queryNorm
              0.38408986 = fieldWeight in 3213, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.1454377 = idf(docFreq=248, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.018791556 = weight(abstract_txt:that in 3213) [ClassicSimilarity], result of:
            0.018791556 = score(doc=3213,freq=4.0), product of:
              0.06277824 = queryWeight, product of:
                1.8306804 = boost
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.014320331 = queryNorm
              0.29933232 = fieldWeight in 3213, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.10812796 = weight(abstract_txt:true in 3213) [ClassicSimilarity], result of:
            0.10812796 = score(doc=3213,freq=2.0), product of:
              0.18315259 = queryWeight, product of:
                1.9148295 = boost
                6.679284 = idf(docFreq=145, maxDocs=42740)
                0.014320331 = queryNorm
              0.5903709 = fieldWeight in 3213, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.679284 = idf(docFreq=145, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.18874952 = weight(abstract_txt:mathematical in 3213) [ClassicSimilarity], result of:
            0.18874952 = score(doc=3213,freq=3.0), product of:
              0.2750199 = queryWeight, product of:
                3.0292144 = boost
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.014320331 = queryNorm
              0.6863122 = fieldWeight in 3213, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
          0.43834424 = weight(abstract_txt:mathematics in 3213) [ClassicSimilarity], result of:
            0.43834424 = score(doc=3213,freq=6.0), product of:
              0.42823595 = queryWeight, product of:
                4.4725327 = boost
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.014320331 = queryNorm
              1.0236045 = fieldWeight in 3213, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.0625 = fieldNorm(doc=3213)
        0.28 = coord(7/25)
    
  3. Sokal, A.: Transgressing the boundaries : toward a transformative hermeneutics of quantum gravity (1996) 0.25
    0.24766447 = sum of:
      0.24766447 = product of:
        0.5628738 = sum of:
          0.016233567 = weight(abstract_txt:attention in 4137) [ClassicSimilarity], result of:
            0.016233567 = score(doc=4137,freq=1.0), product of:
              0.07789746 = queryWeight, product of:
                1.0196229 = boost
                5.334954 = idf(docFreq=559, maxDocs=42740)
                0.014320331 = queryNorm
              0.20839663 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.334954 = idf(docFreq=559, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.010488796 = weight(abstract_txt:knowledge in 4137) [ClassicSimilarity], result of:
            0.010488796 = score(doc=4137,freq=2.0), product of:
              0.05289543 = queryWeight, product of:
                1.0290409 = boost
                3.5894876 = idf(docFreq=3207, maxDocs=42740)
                0.014320331 = queryNorm
              0.19829305 = fieldWeight in 4137, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.5894876 = idf(docFreq=3207, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.019451477 = weight(abstract_txt:century in 4137) [ClassicSimilarity], result of:
            0.019451477 = score(doc=4137,freq=1.0), product of:
              0.08787844 = queryWeight, product of:
                1.0829767 = boost
                5.6664386 = idf(docFreq=401, maxDocs=42740)
                0.014320331 = queryNorm
              0.22134526 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.6664386 = idf(docFreq=401, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.022091515 = weight(abstract_txt:discussion in 4137) [ClassicSimilarity], result of:
            0.022091515 = score(doc=4137,freq=1.0), product of:
              0.109503515 = queryWeight, product of:
                1.4805995 = boost
                5.1646085 = idf(docFreq=663, maxDocs=42740)
                0.014320331 = queryNorm
              0.20174251 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.1646085 = idf(docFreq=663, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.0372196 = weight(abstract_txt:philosophy in 4137) [ClassicSimilarity], result of:
            0.0372196 = score(doc=4137,freq=1.0), product of:
              0.15504539 = queryWeight, product of:
                1.7617854 = boost
                6.1454377 = idf(docFreq=248, maxDocs=42740)
                0.014320331 = queryNorm
              0.24005616 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.1454377 = idf(docFreq=248, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.021173099 = weight(abstract_txt:that in 4137) [ClassicSimilarity], result of:
            0.021173099 = score(doc=4137,freq=13.0), product of:
              0.06277824 = queryWeight, product of:
                1.8306804 = boost
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.014320331 = queryNorm
              0.3372681 = fieldWeight in 4137, product of:
                3.6055512 = tf(freq=13.0), with freq of:
                  13.0 = termFreq=13.0
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.059170965 = weight(abstract_txt:philosophical in 4137) [ClassicSimilarity], result of:
            0.059170965 = score(doc=4137,freq=2.0), product of:
              0.16762553 = queryWeight, product of:
                1.8318658 = boost
                6.389891 = idf(docFreq=194, maxDocs=42740)
                0.014320331 = queryNorm
              0.35299495 = fieldWeight in 4137, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.389891 = idf(docFreq=194, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.013358584 = weight(abstract_txt:which in 4137) [ClassicSimilarity], result of:
            0.013358584 = score(doc=4137,freq=2.0), product of:
              0.08243284 = queryWeight, product of:
                1.962285 = boost
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.014320331 = queryNorm
              0.16205415 = fieldWeight in 4137, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.09092079 = weight(abstract_txt:truth in 4137) [ClassicSimilarity], result of:
            0.09092079 = score(doc=4137,freq=1.0), product of:
              0.30952764 = queryWeight, product of:
                2.8743699 = boost
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.014320331 = queryNorm
              0.29374045 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.16091959 = weight(abstract_txt:postmodern in 4137) [ClassicSimilarity], result of:
            0.16091959 = score(doc=4137,freq=1.0), product of:
              0.48786527 = queryWeight, product of:
                4.034576 = boost
                8.444015 = idf(docFreq=24, maxDocs=42740)
                0.014320331 = queryNorm
              0.32984433 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.444015 = idf(docFreq=24, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
          0.111845806 = weight(abstract_txt:mathematics in 4137) [ClassicSimilarity], result of:
            0.111845806 = score(doc=4137,freq=1.0), product of:
              0.42823595 = queryWeight, product of:
                4.4725327 = boost
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.014320331 = queryNorm
              0.261178 = fieldWeight in 4137, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.0390625 = fieldNorm(doc=4137)
        0.44 = coord(11/25)
    
  4. Cornelius, I.: Theorizing information for information science (2002) 0.19
    0.19216426 = sum of:
      0.19216426 = product of:
        0.36954665 = sum of:
          0.011788902 = weight(abstract_txt:between in 245) [ClassicSimilarity], result of:
            0.011788902 = score(doc=245,freq=3.0), product of:
              0.049952 = queryWeight, product of:
                3.4881876 = idf(docFreq=3549, maxDocs=42740)
                0.014320331 = queryNorm
              0.2360046 = fieldWeight in 245, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                3.4881876 = idf(docFreq=3549, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.015350445 = weight(abstract_txt:does in 245) [ClassicSimilarity], result of:
            0.015350445 = score(doc=245,freq=1.0), product of:
              0.07504607 = queryWeight, product of:
                1.0007876 = boost
                5.236402 = idf(docFreq=617, maxDocs=42740)
                0.014320331 = queryNorm
              0.20454696 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.236402 = idf(docFreq=617, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.016233567 = weight(abstract_txt:attention in 245) [ClassicSimilarity], result of:
            0.016233567 = score(doc=245,freq=1.0), product of:
              0.07789746 = queryWeight, product of:
                1.0196229 = boost
                5.334954 = idf(docFreq=559, maxDocs=42740)
                0.014320331 = queryNorm
              0.20839663 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.334954 = idf(docFreq=559, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.010488796 = weight(abstract_txt:knowledge in 245) [ClassicSimilarity], result of:
            0.010488796 = score(doc=245,freq=2.0), product of:
              0.05289543 = queryWeight, product of:
                1.0290409 = boost
                3.5894876 = idf(docFreq=3207, maxDocs=42740)
                0.014320331 = queryNorm
              0.19829305 = fieldWeight in 245, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.5894876 = idf(docFreq=3207, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.0077133486 = weight(abstract_txt:been in 245) [ClassicSimilarity], result of:
            0.0077133486 = score(doc=245,freq=1.0), product of:
              0.05429665 = queryWeight, product of:
                1.0425817 = boost
                3.6367204 = idf(docFreq=3059, maxDocs=42740)
                0.014320331 = queryNorm
              0.14205939 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.6367204 = idf(docFreq=3059, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.02677359 = weight(abstract_txt:meaning in 245) [ClassicSimilarity], result of:
            0.02677359 = score(doc=245,freq=2.0), product of:
              0.08630615 = queryWeight, product of:
                1.0732448 = boost
                5.6155186 = idf(docFreq=422, maxDocs=42740)
                0.014320331 = queryNorm
              0.3102165 = fieldWeight in 245, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.6155186 = idf(docFreq=422, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.029663319 = weight(abstract_txt:attempts in 245) [ClassicSimilarity], result of:
            0.029663319 = score(doc=245,freq=2.0), product of:
              0.09240961 = queryWeight, product of:
                1.1105459 = boost
                5.810688 = idf(docFreq=347, maxDocs=42740)
                0.014320331 = queryNorm
              0.3209982 = fieldWeight in 245, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                5.810688 = idf(docFreq=347, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.022091515 = weight(abstract_txt:discussion in 245) [ClassicSimilarity], result of:
            0.022091515 = score(doc=245,freq=1.0), product of:
              0.109503515 = queryWeight, product of:
                1.4805995 = boost
                5.1646085 = idf(docFreq=663, maxDocs=42740)
                0.014320331 = queryNorm
              0.20174251 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.1646085 = idf(docFreq=663, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.033709936 = weight(abstract_txt:perspectives in 245) [ClassicSimilarity], result of:
            0.033709936 = score(doc=245,freq=1.0), product of:
              0.14513864 = queryWeight, product of:
                1.704571 = boost
                5.945863 = idf(docFreq=303, maxDocs=42740)
                0.014320331 = queryNorm
              0.23226026 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.945863 = idf(docFreq=303, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.020342458 = weight(abstract_txt:that in 245) [ClassicSimilarity], result of:
            0.020342458 = score(doc=245,freq=12.0), product of:
              0.06277824 = queryWeight, product of:
                1.8306804 = boost
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.014320331 = queryNorm
              0.32403675 = fieldWeight in 245, product of:
                3.4641016 = tf(freq=12.0), with freq of:
                  12.0 = termFreq=12.0
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.016360855 = weight(abstract_txt:which in 245) [ClassicSimilarity], result of:
            0.016360855 = score(doc=245,freq=3.0), product of:
              0.08243284 = queryWeight, product of:
                1.962285 = boost
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.014320331 = queryNorm
              0.19847497 = fieldWeight in 245, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.09092079 = weight(abstract_txt:truth in 245) [ClassicSimilarity], result of:
            0.09092079 = score(doc=245,freq=1.0), product of:
              0.30952764 = queryWeight, product of:
                2.8743699 = boost
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.014320331 = queryNorm
              0.29374045 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.519756 = idf(docFreq=62, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
          0.06810912 = weight(abstract_txt:mathematical in 245) [ClassicSimilarity], result of:
            0.06810912 = score(doc=245,freq=1.0), product of:
              0.2750199 = queryWeight, product of:
                3.0292144 = boost
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.014320331 = queryNorm
              0.24765158 = fieldWeight in 245, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.0390625 = fieldNorm(doc=245)
        0.52 = coord(13/25)
    
  5. Graham, L.R.: Do mathematical equations display social attributes? (2000) 0.18
    0.18228097 = sum of:
      0.18228097 = product of:
        0.50633603 = sum of:
          0.021490624 = weight(abstract_txt:does in 885) [ClassicSimilarity], result of:
            0.021490624 = score(doc=885,freq=1.0), product of:
              0.07504607 = queryWeight, product of:
                1.0007876 = boost
                5.236402 = idf(docFreq=617, maxDocs=42740)
                0.014320331 = queryNorm
              0.28636575 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.236402 = idf(docFreq=617, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.024206325 = weight(abstract_txt:society in 885) [ClassicSimilarity], result of:
            0.024206325 = score(doc=885,freq=1.0), product of:
              0.08124211 = queryWeight, product of:
                1.0412824 = boost
                5.4482822 = idf(docFreq=499, maxDocs=42740)
                0.014320331 = queryNorm
              0.29795295 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.4482822 = idf(docFreq=499, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.027232068 = weight(abstract_txt:century in 885) [ClassicSimilarity], result of:
            0.027232068 = score(doc=885,freq=1.0), product of:
              0.08787844 = queryWeight, product of:
                1.0829767 = boost
                5.6664386 = idf(docFreq=401, maxDocs=42740)
                0.014320331 = queryNorm
              0.30988336 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.6664386 = idf(docFreq=401, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.08244029 = weight(abstract_txt:mathematicians in 885) [ClassicSimilarity], result of:
            0.08244029 = score(doc=885,freq=1.0), product of:
              0.18390277 = queryWeight, product of:
                1.5666503 = boost
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.014320331 = queryNorm
              0.4482819 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.197155 = idf(docFreq=31, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.02175153 = weight(abstract_txt:that in 885) [ClassicSimilarity], result of:
            0.02175153 = score(doc=885,freq=7.0), product of:
              0.06277824 = queryWeight, product of:
                1.8306804 = boost
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.014320331 = queryNorm
              0.346482 = fieldWeight in 885, product of:
                2.6457512 = tf(freq=7.0), with freq of:
                  7.0 = termFreq=7.0
                2.3946586 = idf(docFreq=10595, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.058576267 = weight(abstract_txt:philosophical in 885) [ClassicSimilarity], result of:
            0.058576267 = score(doc=885,freq=1.0), product of:
              0.16762553 = queryWeight, product of:
                1.8318658 = boost
                6.389891 = idf(docFreq=194, maxDocs=42740)
                0.014320331 = queryNorm
              0.34944716 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.389891 = idf(docFreq=194, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.018702017 = weight(abstract_txt:which in 885) [ClassicSimilarity], result of:
            0.018702017 = score(doc=885,freq=2.0), product of:
              0.08243284 = queryWeight, product of:
                1.962285 = boost
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.014320331 = queryNorm
              0.22687581 = fieldWeight in 885, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.9334934 = idf(docFreq=6181, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.09535276 = weight(abstract_txt:mathematical in 885) [ClassicSimilarity], result of:
            0.09535276 = score(doc=885,freq=1.0), product of:
              0.2750199 = queryWeight, product of:
                3.0292144 = boost
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.014320331 = queryNorm
              0.3467122 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.3398805 = idf(docFreq=204, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
          0.15658413 = weight(abstract_txt:mathematics in 885) [ClassicSimilarity], result of:
            0.15658413 = score(doc=885,freq=1.0), product of:
              0.42823595 = queryWeight, product of:
                4.4725327 = boost
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.014320331 = queryNorm
              0.3656492 = fieldWeight in 885, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.6861567 = idf(docFreq=144, maxDocs=42740)
                0.0546875 = fieldNorm(doc=885)
        0.36 = coord(9/25)