Infinite elements in the universal sets

[rcs1]

is it possible to make a venn diagram wherein the elements are infinite elements?

ex. V = { is the set of all odd numbers)
W = { 5, 15, 25, 45, 55,...}

thanks a lot

 

[Plato2]

is it possible to make a venn diagram wherein the elements are infinite elements?
ex. V = { is the set of all odd numbers)
W = { 5, 15, 25, 45, 55,...}

I have never seen it done.

 

[Evgeny.Makarov]

is it possible to make a venn diagram wherein the elements are infinite elements?

All sets are infinite? The circles in a Venn diagram can denote finite or infinite sets. The circles show how the sets are related. In this case, it seems that W is a subset of V.

 

[Plato2]

All sets are infinite? The circles in a Venn diagram can denote finite or infinite sets. The circles show how the sets are related. In this case, it seems that W is a subset of V.

I agree that Venn himself used the diagrams for logical arguments.
But the OP said "the elements are infinite elements". I take that to mean some sort of counting.
Have you seem Venn's diagrams used for counting non-finite sets?

 

[blue_raver22]

I would say that it is possible to make a Venn diagram with infinite elements, but it may not be practical or useful in most cases. Venn diagrams are typically used to illustrate relationships between finite sets, and trying to represent an infinite set in this way may be challenging and not provide much insight. However, if the sets in question have a clear and distinct relationship, it may be possible to create a Venn diagram with infinite elements that accurately represents this relationship. Additionally, there are other graphical representations, such as number lines or graphs, that may be more suitable for illustrating infinite sets. Ultimately, the use of a Venn diagram or any other graphical representation should be based on the specific context and purpose of the analysis.