Venn Diagrams Concepts(including advanced concepts)

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Discussion Overview

The discussion revolves around the concepts and applications of Venn diagrams, particularly in relation to problems involving three sets. Participants express confusion regarding how to approach questions that require finding minimum or maximum values within the context of Venn diagrams, including specific examples related to student exam results.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants inquire about online resources that explain Venn diagram concepts, including advanced topics.
  • One participant suggests that there are no 'minimum/maximum' relations in Venn diagrams, challenging the initial premise of the questions posed.
  • Several participants present a specific problem involving 100 students and their performance in three sections (A, B, C), asking for help in determining the number of students who cleared various cutoffs under certain conditions.
  • Another participant questions the relevance of syllogistic logic to the discussion, while others argue that Venn diagrams can effectively visualize combinations of Boolean predicates.
  • One participant mentions the inclusion-exclusion principle as a potential method relevant to the discussion.
  • Another participant references fuzzy set theory as a possible framework for addressing the minimum/maximum questions related to Venn diagrams.
  • A participant provides links to Wikipedia articles for further reading on Venn diagrams and their applications.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of syllogistic logic to Venn diagrams, with some asserting it is irrelevant while others defend its connection. There is no consensus on how to approach the minimum/maximum questions, and the discussion remains unresolved regarding the best methods to apply.

Contextual Notes

Participants have not reached a consensus on the definitions or methods related to minimum/maximum values in Venn diagrams. The discussion includes various assumptions and interpretations of the problems presented.

dragonball
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Goodevening,
I am confused with Venn diagrams questions(2/3 circle diagrams). Can i find some online resources which explains its concepts(including advanced concepts). Eg. 3circled(A,B,C) diagram is there. Find minimum/max. possible of ONLY A such that B is minimum/maximum - how to do these type of questions?
 
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dragonball said:
Goodevening,
I am confused with Venn diagrams questions(2/3 circle diagrams). Can i find some online resources which explains its concepts(including advanced concepts). Eg. 3circled(A,B,C) diagram is there. Find minimum/max. possible of ONLY A such that B is minimum/maximum - how to do these type of questions?

Venn diagrams are used to interpret and decide which of Aristotle's syllogisms are vaid or not.

There are no 'minimum/maximum' relations here.
 
Well, see following Question then:

100 students appeared in exam having 3sections A,B,C. No. of students who cleared the cutoff in A,B,C=43,65,37 respectiely. Every student cleared cutoff in atleast 1section.

a)If no. of students who cleared cutoff ONLY in B=Max possible, find no. of students who cleared cutoff in all 3sections.

b)If 0(no) students cleared cutoff ONLY in A, find minimum possible no. of students who cleared cutoff ONLY in B.
 
dragonball said:
Well, see following Question then:

100 students appeared in exam having 3sections A,B,C. No. of students who cleared the cutoff in A,B,C=43,65,37 respectiely. Every student cleared cutoff in atleast 1section.

a)If no. of students who cleared cutoff ONLY in B=Max possible, find no. of students who cleared cutoff in all 3sections.

b)If 0(no) students cleared cutoff ONLY in A, find minimum possible no. of students who cleared cutoff ONLY in B.

Where is your question??

What does this gibberish have to do with syllogistic logic??
 
Hi, dragonball,

Sure you are not asking about the counting method known as inclusion-exclusion? If you told us the title of the textbook and/or course you are taking, I bet the answer would be obviously "yes"!

FYI, there is a special forum at PF for homework questions which has some special rules.
 
Owen Holden said:
Where is your question??

What does this gibberish have to do with syllogistic logic??
It doesn't look like gibberish to me.

I'm not sure why you continue to insist upon mentioning syllogistic logic -- the opening poster is clearly interested in using the Venn diagram as a convenient way to visualize the different combinations of 3 Boolean predicates (e.g. "passed section B") and the associated measure (e.g. "65 students passed section B").
 
dragonball said:
Well, see following Question then:

100 students appeared in exam having 3sections A,B,C. No. of students who cleared the cutoff in A,B,C=43,65,37 respectiely. Every student cleared cutoff in atleast 1section.

a)If no. of students who cleared cutoff ONLY in B=Max possible, find no. of students who cleared cutoff in all 3sections.

b)If 0(no) students cleared cutoff ONLY in A, find minimum possible no. of students who cleared cutoff ONLY in B.

hey please let me know the answers as soon as possible..
is it
q1) 0
q2) 30
thnx..
 
For anything having to do with questions such as "Find minimum/max. possible of ONLY A such that B is minimum/maximum - how to do these type of questions? " and Venns, if I recall correctly, fuzzy set theory should cover this. Also, for advanced topics, more than three circles can be used for Venns It sounds simplistic but the Wikipedia article is informative: http://en.wikipedia.org/wiki/Venn_diagram . See also, for applications Venns and hamming codes, such as: http://en.wikipedia.org/wiki/Hamming(7,4) .
 
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