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2 results

  • Chapter 2 - Is Metaphysics Possible? The Argumentative Structure of the Prolegomena

  • Edited by Peter Thielke, Pomona College, California
  • Book:
    Kant's Prolegomena
    Published online:
    08 October 2021
    Print publication:
    21 October 2021, pp 27-47

  • Summary

    The chapter looks at the ways in which the analytic method adopted in Parts I and II, where Kant addresses the possibility of mathematics and natural science, bears on the status of metaphysics.The essay canvasses two possible accounts of how mathematics and science relate to metaphysics as a priori cognition – the ‘Necessary Conditions’ view, and the ‘Examples First’ proposal – and rejects each.Rather, Kant denies that metaphysics can be a science not because it fails to achieve the necessity that we find in mathematics and natural science, but instead because metaphysics does not amount to cognition at all.The analytic method Kant adopts does not lead to a quick rejection of metaphysics as not being something we in fact possess, but requires a subtler and more complex case to show that metaphysics cannot have any cognition of an a priori object, though it still has some other methodological value to offer.

  • Some general results for many server queues

  • J. H. A. De Smit
  • Journal:
    Advances in Applied Probability / Volume 5 / Issue 1 / April 1973
    Published online by Cambridge University Press:
    01 July 2016, pp. 153-169
    Print publication:
    April 1973

  • Pollaczek's theory for the many server queue is generalized and extended. Pollaczek (1961) found the distribution of the actual waiting times in the model G/G/s as a solution of a set of integral equations. We give a somewhat more general set of integral equations from which the joint distribution of the actual waiting time and some other random variables may be found. With this joint distribution we can obtain distributions of a number of characteristic quantities, such as the virtual waiting time, the queue length, the number of busy servers, the busy period and the busy cycle. For a wide class of many server queues the formal expressions may lead to explicit results.