If, only if & if and only if

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Very catchy title.

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all your vids are extremely helpful got the tmua in a few days

jackwillcox
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your videos have been massive for the tmua 🤝

rayhanslemma
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Thank you very much for the enlightenment.

TheEngineeringMathTutor
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I don’t understand why if A then B it also means that B is necessary for A. how does that make sense? I just can’t wrap my head around that

hianhoepua
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Hi there, it would be really pleasant to watch your Youtube video.
But I am confused about the if, only if, if and only if part. I want to ask if I will 100% cry when I am sad during the 'If I am sad, I will cry' example? If not, how can we make sure we will 100% cry once we are sad and only when we are sad during the 'I will cry if and only if I am sad' example?

MichaelZou-ob
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I did the ppqs at the start and got a and a do you happen to know the answers or reference to these questions?

SomethingXtra
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Hi there I need your help!! Isn’t if B then A surely going to be A-> B

Everything-mhbp
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For the statement B is sufficient for A (and this statement is true), is it correct to say A is necessary for B?

LamNguyen-ffxj