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  3. Multiple-Conclusion Logic
  • Cited by 216
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    • Publisher:
      Cambridge University Press
      Publication date:
      July 2010
      July 1978
      ISBN:
      9780511565687
      9780521093323
      DOI:
      https://doi.org/10.1017/CBO9780511565687
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.6kg, 416 Pages
      • Subjects:
      Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
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    Subjects:
    Mathematics, Logic, Categories and Sets, Philosophy of Science, Philosophy
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    Book description

    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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