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5 - Negation as failure

Published online by Cambridge University Press:  07 September 2011

Robert Kowalski
Affiliation:
Imperial College London
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Summary

It’s easy to take negation for granted, and not give it a second thought. Either it will rain or it won’t rain. But definitely it won’t rain and not rain at the same time and in the same place. Looking at it like that, you can take your pick. Raining and not raining are on a par, like heads and tails. You can have one or the other, but not both.

So it may seem at first glance. But on closer inspection, the reality is different. The world is a positive, not a negative place, and human ways of organising our thoughts about the world are mainly positive too. We directly observe only positive facts, like this coin is showing heads, or it is raining. We have to derive the negation of a positive fact from the absence of the positive fact. The fact that this coin is showing heads implies that it is not showing tails, and the fact that it is sunny implies, everything else being equal, that it is not raining at the same place and the same time.

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Chapter
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Computational Logic and Human Thinking
How to Be Artificially Intelligent
, pp. 60 - 76
Publisher: Cambridge University Press
Print publication year: 2011

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  • Negation as failure
  • Robert Kowalski, Imperial College London
  • Book: Computational Logic and Human Thinking
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511984747.008
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  • Negation as failure
  • Robert Kowalski, Imperial College London
  • Book: Computational Logic and Human Thinking
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511984747.008
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Negation as failure
  • Robert Kowalski, Imperial College London
  • Book: Computational Logic and Human Thinking
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511984747.008
Available formats
×