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 Mar8 awarded Good Question Jul2 awarded Curious Jan19 awarded Popular Question Jan18 awarded Popular Question Jun17 awarded Yearling Jun6 awarded Nice Question Jun5 accepted Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$ Jun5 comment Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$ It's from a multiple choice test exam, I only know the questions and the answers, not the reason why. Jun5 comment Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$ So in my case, there exists something that isn't a person, hence the whole statement is true? Jun5 comment Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$ I'm probably looking at this the wrong way. But suppose P(x) means x is a person. Doesn't it say "There exists something that is a person, so everything is a person."? Jun5 asked Why is this true? $(\exists x)(P(x) \Rightarrow (\forall y) P(y))$ Jun4 comment How do I show that a set is an element of a set in a Venn diagram? This makes it very clear! I accepted the other answer because it leans closer to the Venn diagrams, but this makes the difference between a subset and a set as an element very clear. Jun4 accepted How do I show that a set is an element of a set in a Venn diagram? Jun4 comment How do I show that a set is an element of a set in a Venn diagram? So if there was a dot next to the C we could assume C is an element of A, therefore {C} is a subset of A and C is no longer a subset of A? Jun4 asked How do I show that a set is an element of a set in a Venn diagram? Jan25 accepted Do the following conditions define a vector-space? Jan24 comment Is following subset W of V also a subspace? Yes, of course. Thanks a lot! Jan24 asked Do the following conditions define a vector-space? Jan24 accepted Is following subset W of V also a subspace? Jan24 comment Is following subset W of V also a subspace? Thanks, this is actually very clear to me now.. I feel stupid for not seeing that myself. So it is obviously a subspace, since both new equations you mention are still zero?