Foundations of Computer Science
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Foundations of Computer Science

        

Foundations of Computer Science

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NuMachine, as powerful as Turing machine, but more intuitive in its working is described. Adding three more derivation rules to Elementary Arithmetic of Godel and calling it Sentient Arithmetic (SA), the incompleteness theorems are proved within SA, without using any metalanguage. Intuitive Set Theory (IST), a theory in which we do not have to deal with cardinals higher than aleph-null, is described. In IST, there is no Skolem Paradox and there are no nonLebesgue measurable sets.
Material Type: Tutorial
Technical Format: PDF
Date Added to MERLOT: June 13, 2001
Date Modified in MERLOT: May 23, 2008
Submitter: Kannan Nambiar

Quality

  • Reviewed by members of Editorial board for inclusion in MERLOT.
    Editor Review (not reviewed)
  • User review 4 average rating
  • User Rating: 4 user rating
  • Discussion (1 Comment)
  • Learning Exercises (none)
  • Personal Collections (1)
  • Accessibility Info (none)

About

Primary Audience: College General Ed, Graduate School, Professional
Mobile Compatibility: Not specified at this time
Technical Requirements: AcrobatReader4
Language: English
Cost Involved: no
Source Code Available: no
Accessiblity Information Available: no
Creative Commons: unsure

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Avatar for Bob Tucker
12 years ago

Bob Tucker (Student)

I reviewed this information as part of an assignment in my Foundations of
Computer Science class. I have only reviewed this information for its relevance
to the information I am currently learning in class. I found this article to
be very informative and well written. While I did have a difficult time
following some of the presentation, I believe that to be due to my lack of
knowledge and not ineffectiveness of the article.