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36807 results in Cambridge Textbooks

Page 1790 of 1841

  • Preface

  • Plato
  • Edited by Julia Annas, Robin Waterfield
  • Book:
    Plato: The Statesman
    Published online:
    12 September 2018
    Print publication:
    23 March 1995, pp vii-viii

  • Summary

    It is perhaps appropriate for the Statesman to be the first of Plato's works to come out in the Cambridge Texts in the History of Political Thought; it is certainly the most neglected of Plato's political works, and the one most in need of a fresh presentation. The new translation provides a more accessible version than any hitherto available in English, and the introduction attempts to locate the dialogue in Plato's political thought, taking advantage of the enormous improvements in our understanding of this that recent discussions have produced. Few of these directly concern the Statesman itself, and we hope that this new translation will help to bring the work more centrally into discussions of Plato's political thought, along with the more familiar Republic and Laws.

    The translation and textual notes are by Robin Waterfield, and the introduction and other notes by Julia Annas. Each of us, however, has read and commented on the other's work, and the result is the product of a harmonious collaboration that has been interesting and profitable for both of us. We hope that its fruits will introduce others to this uneven, often puzzling but seminal dialogue.

  • 20 - Where to from here?

  • Peter J. Cameron
  • Book:
    Combinatorics
    Published online:
    28 May 2018
    Print publication:
    06 October 1994, pp 325-338

  • Summary

    This kind of rather highflown speculation is an essential part of my job. Without some capacity for it I could not have qualified as a Mobile, and I received formal training in it on Hain, where they dignify it with the title of Farfetching.

    Ursula K. LeGuin, The Left Hand of Darkness (1969)

    This final chapter has two purposes. A few topics not considered earlier are discussed briefly; usually there is a central problem which has served as a focus for research. Then there is a list of assorted problems in other areas, and some recommended reading for further investigation of some of the main subdivisions of combinatorics.

    Computational complexity

    This topic belongs to theoretical computer science; but many of the problems of greatest importance are of a combinatorial nature. In the first half of this century, it was realised that some well-posed problems cannot be solved by any mechanical procedure. Subsequently, interest turned to those which may be solvable in principle, but for which a solution may be difficult in practice, because of the length of time or amount of resources required. To discuss this, we want a measure of how hard, computationally, it is to solve a problem. The main difficulty here lies in defining the terms!

    Problems .

    Problems we may want to solve are of many kinds: anything from factorising a large number to solving a system of differential equations to predict tomorrow's weather. In practice, we usually have one specific problem to solve; but, in order to do mathematics, we must consider a class of problems.

Page 1790 of 1841