I: I love some people. Cassi: what does that even mean? Sent at 8:56, Thursday I: I just love them. I should make a list of them. But I love lots of people. Cassi she writes...
NO! Think of a Venn Diagram. Those on the list are in a small circle inside of a big circle. The big circle is people I love. The small circle is those whom I love who also have made it onto the list on my blog.
From Wikipedia, Venn diagrams "are diagrams that show all hypothetically possible logical relations between a finite collection of sets." So, Mike, a Venn diagram doesn't necessary have to be made of circles: just closed, simple generalized curves (i.e. curves, surfaces, or hypersurfaces depending on the dimension in which they are embedded) that intersect in every possible combination. This also means, Dave, that Venn diagrams should not depict a set as being a strict subset of another set. The region that is not overlapping should simply be denoted as null or as containing no elements.
However, to say that Dave's list is "not at all" like a Venn diagram is quite ignorant, Mike. It is entirely possible to depict relationships, as Dave describes, between two sets in the case where one is a strict subset of the other; however, this kind of diagram is called an Euler diagram. Euler diagrams are a generalization of the Venn diagram that denote the possible relationships between sets in a particular context. Using an Euler diagram to explain this relationship, Venn diagrams form a circle that is entirely contained in the circle of Euler diagrams.
So as Dave defines the two sets, the larger set contains all of the people whom he loves and the smaller set contains "those whom [he] love who also have made it onto the list on [his] blog." This means that the second set is trivially a subset of the first by definition. This relationship can be represented either by an Euler diagram as Dave describes, or by the more specialized Venn diagram that Mike describes.
So Dave, this discussion presents an interesting question: what criteria defines the set Ψ where the intersection of the set Ψ, the set of those that have blogs, and the set of those whom you love are exactly those listed on your blog? I assume that such a set must nontrivially exist. I hate to think of the implications of the opposite case since I know people who have blogs and think that you love them but are not on your "people I love" list.
12 comments:
THIS is the essence of a good life.
Right....some of that I didn't quit catch. But I LOVE DAVE!! xoxo
I may speak three Filipino languages fluently, but Russian--nope. Translation?
Translation:
I: I love some people.
Cassi: what does that even mean?
Sent at 8:56, Thursday
I: I just love them.
I should make a list of them.
But I love lots of people.
Cassi she writes...
You are retarded. Even with your three Filipino languages.
I like your list of people you love. But do you only love people who have blogs?
NO! Think of a Venn Diagram. Those on the list are in a small circle inside of a big circle. The big circle is people I love. The small circle is those whom I love who also have made it onto the list on my blog.
Venn Diagrams are two circles that overlap slightly, not one circle inside of a bigger circle. So your list is not like a Venn Diagram. Not at all.
Mr. Mike Wilkowski-
A small circle inside a big circle IS having the two circles overlap. If you have a problem with that, talk to math about it.
Love, Dave Buck
I said SLIGHTLY, not completely. That's a big difference, MR. Dave Buck. Big. I talked to Math and it backed me up.
You are in fact both wrong.
From Wikipedia, Venn diagrams "are diagrams that show all hypothetically possible logical relations between a finite collection of sets." So, Mike, a Venn diagram doesn't necessary have to be made of circles: just closed, simple generalized curves (i.e. curves, surfaces, or hypersurfaces depending on the dimension in which they are embedded) that intersect in every possible combination. This also means, Dave, that Venn diagrams should not depict a set as being a strict subset of another set. The region that is not overlapping should simply be denoted as null or as containing no elements.
However, to say that Dave's list is "not at all" like a Venn diagram is quite ignorant, Mike. It is entirely possible to depict relationships, as Dave describes, between two sets in the case where one is a strict subset of the other; however, this kind of diagram is called an Euler diagram. Euler diagrams are a generalization of the Venn diagram that denote the possible relationships between sets in a particular context. Using an Euler diagram to explain this relationship, Venn diagrams form a circle that is entirely contained in the circle of Euler diagrams.
So as Dave defines the two sets, the larger set contains all of the people whom he loves and the smaller set contains "those whom [he] love who also have made it onto the list on [his] blog." This means that the second set is trivially a subset of the first by definition. This relationship can be represented either by an Euler diagram as Dave describes, or by the more specialized Venn diagram that Mike describes.
So Dave, this discussion presents an interesting question: what criteria defines the set Ψ where the intersection of the set Ψ, the set of those that have blogs, and the set of those whom you love are exactly those listed on your blog? I assume that such a set must nontrivially exist. I hate to think of the implications of the opposite case since I know people who have blogs and think that you love them but are not on your "people I love" list.
yeah. that's totally what i was thinking.
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