Selected Works of A.N. Kolmogorov: Volume III: Information Theory and the Theory of Algorithms

'BI moi...* si j'aYlliI SII COIIIIDeIIt CD n:valir. je ODe semce m '- ies bas rendered tbe u'y serais point aD6.* bamIIII 18Ile. It bas pat COIIIIDOD _ bei< JaJesVeme wbae it beJcJup, Oll tbe topmosl sbeIf _ In tbe dnsty c:aniater labeIIccl *clilcardecllIIlIISeIIIe'. 1be series is cIiverp:nt; tberefOle _ may be BrieT.BeO lIbIe In do SOIIleIbiDg wilh it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world whem both feedback and nonlincari- ties abound. Similarly, aIl kinds of parts of mathematics serve as tools for othcr parts and for othcr sci- enccs. Applying a simple mwriting ruIe to the quotc on the right above one finds such statements as: 'One ser- vice topology has mndemd mathematical physics ...'; 'One sCIVicc logic has mndcmd computer science ...'; 'One service category thcory has rendcmd mathematics ...'. All arguably true. And aIl statements obtainable this way form part of the raison d'etm of this scrics.