On the notion of effectiveness

History and Philosophy of Logic 1 (1-2):209-230 (1980)
Abstract
This paper focuses on two notions of effectiveness which are not treated in detail elsewhere. Unlike the standard computability notion, which is a property of functions themselves, both notions of effectiveness are properties of interpreted linguistic presentations of functions. It is shown that effectiveness is epistemically at least as basic as computability in the sense that decisions about computability normally involve judgments concerning effectiveness. There are many occurrences of the present notions in the writings of logicians; moreover, consideration of these notions can contribute to the clarification and, perhaps, solution of various philosophical problems, confusions and disputes
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    References found in this work BETA
    Alonzo Church (1956). Introduction to Mathematical Logic. Princeton, Princeton University Press.
    Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.

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    Citations of this work BETA
    Stewart Shapiro (1983). Remarks on the Development of Computability. History and Philosophy of Logic 4 (1-2):203-220.
    M. Detlefsen (1988). Essay Review. History and Philosophy of Logic 9 (1):93-105.
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