Organization of Knowledge
There exist two phenomena in the development of mathematics in the Twentieth Century which have no precedents in earlier times. They are the rates of increase in the volume of knowledge and in the complexity of proofs. We shall start with the first of these by reproducing below a statistical table which is due to W. R. Utz of the University of Missouri and was published in the Notices of the American Mathematical Society, Issue 211, p. 424, August 1981. We have already mentioned this table in Chapter 11.12 because of its two right-hand columns. What concerns us here are the two left-hand columns which show the number of titles of mathematical papers which appeared in the Mathematical Reviews during the last years of five consecutive decades.
KeywordsWord Problem Mathematical Knowledge Mapping Class Group Statistical Table Infinite Group
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