D J Shoesmith - Multiple-Conclusion Logic [1980, 2008][A]

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 							Product Details
  Book Title: Multiple-Conclusion Logic	 	
  Book Author:  D. J.
Shoesmith (Author), T. J. Smiley (Author) 
   Paperback: 416 pages
   Publisher: Cambridge
University Press; 1 edition (January 11, 2009)
   Language: English
   ISBN-10: 0521093325
   ISBN-13:
978-0521093323
  
  Book Description
  Publication Date: January 11, 2009 | ISBN-10: 0521093325 | ISBN-13: 978-0521093323 | 
 
Multiple-conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single
one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting
possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on the
conventional logic and its limitations. This is a sustained study of the subject and is certain to stimulate further
research. Part I reworks the fundamental ideas of logic to take account of multiple conclusions, and investigates the
connections between multiple - and single - conclusion calculi. Part II draws on graph theory to discuss the form and
validity of arguments independently of particular logical systems. Part III contrasts the multiple - and the single -
conclusion treatment of one and the same subject, using many-valued logic as the example; and Part IV shows how the
methods of 'natural deduction' can be matched by direct proofs using multiple conclusions.
   						

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