Venn diagrams can represent both finite and infinite sets, as demonstrated in the discussion regarding the sets V = {all odd numbers} and W = {5, 15, 25, 45, 55,...}. The relationship indicates that W is a subset of V, illustrating how Venn diagrams can effectively show connections between infinite elements. While traditionally used for logical arguments, the application of Venn diagrams to non-finite sets raises questions about their utility in counting infinite elements.
PREREQUISITESMathematicians, educators, students studying set theory, and anyone interested in the visualization of infinite sets using Venn diagrams.
I have never seen it done.rcs said: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,...}
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.rcs said:is it possible to make a venn diagram wherein the elements are infinite elements?
I agree that Venn himself used the diagrams for logical arguments.Evgeny.Makarov said: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.