|Abstract||This book deals with questions everyone should become acquainted with when studying logic. It, however, has nothing in common with current introductions to logic, which are actually introductions to a particular logic paradigm, mathematical logic. There is nothing wrong with this, except that at present such paradigm is a problematic one. For mathematical logic, on the one hand, is inadequate for the use for which it was originally designed – to give mathematics the most secure foundation – and, on the other hand, has found no crucial alternative use. This fact is almost invariably passed over in silence in current introductions to logic. This is as it could be expected, for people working within a given paradigm tend to consider it as the only possible one and cannot conceive of any alternative. But to read only such introductions will give a rather narrow view of the subject. In this book mathematical logic is presented as being not ‘The Logic’ but rather a particular logic paradigm, with some basic limitations. An alternative logic paradigm is outlined, meant to remove such limitations, in which logic is supposed to be a logic of discovery and justification a part of discovery. With respect to mathematical logic, the alternative paradigm involves a different view of the relation of logic with nature. Logic is a continuation of the problem solving procedures with which biological evolution has endowed humans and all organisms generally. The alternative paradigm also involves a different view of the relation of logic with method. Method is the source of logic. To implement the alternative paradigm, a number of basic discovery procedures are discussed. By their very nature, discovery procedures do not form a closed set, given once for all, but rather an open set, which can always be expanded. Those considered in this book, however, are especially important. This book is not intended to replace any introduction to mathematical logic but rather to be read parallel to it. Its aim is, on the one hand, to put mathematical logic into perspective, on the other hand, to show that an alternative paradigm is possible and to outline it. I hope it will give the reader a better feel of what logic really is.|
|Keywords||Nature of logic Logic of discovery Naturalized Logic Logic and Methd|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Frances Howard-Snyder (2012). The Power of Logic. Mcgraw-Hill.
W. V. Quine (1951). Mathematical Logic. Cambridge, Harvard University Press.
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
Gregory H. Moore (1980). Beyond First-Order Logic: The Historical Interplay Between Mathematical Logic and Axiomatic Set Theory. History and Philosophy of Logic 1 (1-2):95-137.
Charles Ashbacher (2002). Introduction to Neutrosophic Logic. American Research Press.
J. Väänänen (2007). Dependence Logic: A New Approach to Independence Friendly Logic. Cambridge University Press.
John P. Burgess (2009). Philosophical Logic. Princeton University Press.
Zhongtang Cheng (2007). Logic Paradigm in the “ Mobian ” Investigation: From a Hermeneutic Point of View. Frontiers of Philosophy in China 2 (2):188-205.
Added to index2009-12-14
Total downloads166 ( #2,016 of 549,067 )
Recent downloads (6 months)8 ( #8,830 of 549,067 )
How can I increase my downloads?