Predicate logic and one point rule using Z notation

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Discussion Overview

The discussion revolves around the simplification of an equation using predicate logic and the one-point rule, specifically within the context of Z notation. Participants express confusion regarding the terminology and notation used in logic, particularly the one-point rule and Z notation, and seek guidance on standard notations in set theory.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks assistance in simplifying an equation using the one-point rule and predicate logic but feels uncertain about where to start.
  • Another participant notes the variability in logic notation and expresses unfamiliarity with the one-point rule and Z notation, questioning their relevance to the variables involved.
  • A participant highlights the lack of familiarity with Z notation among others and expresses surprise at its use in university teaching, asking for standard notation in set theory.
  • One participant suggests starting a new thread for recommendations on resources for symbolic logic if no one provides links or books in the current thread.
  • A later reply provides a link to a book on Z notation, indicating it may be a useful resource for understanding the topic.

Areas of Agreement / Disagreement

Participants generally express uncertainty about Z notation and the one-point rule, indicating that multiple competing views and levels of understanding exist regarding these concepts.

Contextual Notes

There is a noted lack of consensus on the definitions and applications of Z notation and the one-point rule, as well as the relevance of certain symbols like \mathbb{N} in the context of the discussion.

Who May Find This Useful

This discussion may be useful for individuals interested in predicate logic, Z notation, and those seeking clarification on standard notations in set theory.

learn_maths
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Hello all,

I'm in the process of simplifying the following equation using one-point rule and other predicate logic. But I’m a bit stuck with where to start or which inference rule to use first.

11053d1320180705-one-point-rule-127_8cd87652721067acc2f2a1af99d8b9db.png


Please help or any pointers would be much appreciated.

Thanks
 
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learn_maths,

The notation and terminology of logic is not as standardized as the notation and terminology of a subject like Calculus. So if you ask a question about logic that uses a lot of notation, it is quite possible that people who did not study your particular textbook won't know what you're talking about.

Speaking for myself, I don't know what the "one point rule" is. I don't know what "Z notation" is. And I don't know what the \mathbb{N} means in your formula. I presume it has to do with the natural numbers, but I don't see how it relates to any of the variables.
 
Steve thanks for the reply. By far i have noticed that not many people know Z notation. And I’m quite surprised why then the universities prefer to use Z for teaching. Since I’m a learner what is the standard notation for set theory? Any links to understand the standard notation would be very helpful.

I did get same sort of reaction in few other forum when I posted Z notation.

Thanks
 
I haven't opened a logic book in 30 years and I'm not current on good web sites for symbolic logic. If nobody else jumps into this thread with some recommendations, I'm sure that if you start a new thread whose title indicates you want links and books, you'll get some answers.

Do you have a good link or book for "Z notation"? I'm curious about it.
 
>Do you have a good link or book for "Z notation"? I'm curious about it.
Check this book out. The title explains what the book is all about. This is the book which I'm referring at the movement.

http://www.cs.cmu.edu/~15819/zedbook.pdf

Thanks
 

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