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Advances in Computing Sciences

Relational Methods in Computer Science

Editors: Brink, Chris, Kahl, Wolfram, Schmidt, Gunther (Eds.)

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About this book

The calculus of relations has been an important component of the development of logic and algebra since the middle of the nineteenth century, when Augustus De Morgan observed that since a horse is an animal we should be able to infer that the head of a horse is the head of an animal. For this, Aristotelian syllogistic does not suffice: We require relational reasoning. George Boole, in his Mathematical Analysis of Logic of 1847, initiated the treatment of logic as part of mathematics, specifically as part of algebra. Quite the opposite conviction was put forward early this century by Bertrand Russell and Alfred North Whitehead in their Principia Mathematica (1910 - 1913): that mathematics was essentially grounded in logic. Logic thus developed in two streams. On the one hand algebraic logic, in which the calculus of relations played a particularly prominent part, was taken up from Boole by Charles Sanders Peirce, who wished to do for the "calculus of relatives" what Boole had done for the calculus of sets. Peirce's work was in turn taken up by Schroder in his Algebra und Logik der Relative of 1895 (the third part of a massive work on the algebra of logic). Schroder's work, however, lay dormant for more than 40 years, until revived by Alfred Tarski in his seminal paper "On the calculus of binary relations" of 1941 (actually his presidential address to the Association for Symbolic Logic).

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-7091-6510-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-211-82971-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Relational Methods in Computer Science
Editors
  • Chris Brink
  • Wolfram Kahl
  • Gunther Schmidt
Series Title
Advances in Computing Sciences
Copyright
1997
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-6510-2
DOI
10.1007/978-3-7091-6510-2
Softcover ISBN
978-3-211-82971-4
Edition Number
1
Number of Pages
XV, 272
Number of Illustrations and Tables
3 b/w illustrations
Topics