[Discrete Mathematics] Conditional Examples

[@Trevtutor]

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[@SO-oy2li]

I have a question. For the converse part, is it also ok to say "If I cry, then it will snow"?. In other words, is it ok to have the first part in present tense or must I preserve the future? Is any way ok as long as it makes sense enough? Thank you for video as always!

[@chitownmuslim]

great videos man, thanks!

[@sunnyzhu5791]

good video

[@MrD3eath]

1:05 should be swapped since it’s only if

[@vitaly3979]

P only if q will be p -> q p if q -> q -> p The swap is done only for "if"

[@balcetus]

why does this have 10 likes? No it shouldn't be swapped.

[@dariakarpova5577]

'a if b' is equivalent to 'a must be true if b is true', so the statement is false only if b is true and a is false (from 'b is true' follows 'a is true' and we don't care about 'b is false' case, it is always true, i.e. 'a if b' ~b v (a ^ b) b -> a). Whereas 'a only if b' is equivalent to 'a must be true only if b is true' so the statement is false only when a is true and b is false (from 'a is true' follows 'b is true' and 'a is false' implies the statement is true, i.e. 'a only if b' ~a v (a ^ b) a -> b).

[@SarbbottamBandyopadhyay]

At kzbin.info/www/bejne/rpLKaod7drSFgZY you said converse and inverse are logically equivalent. If so, could the inverse at 2:49 be the same as the converse, i.e. "If I will cry then it snows"?

[@balcetus]

I'm a year late, but yes the inverse and the converse are equivalent.

[@ai_zj]

not the same, just logically equivalent

[@MrKB_SSJ2]

1:47

[@arkadymarchenko1516]

If the converse and inverse are logically equivalent, how come that "If I will cry then it snows" and "If it doesn't snow, then I will not cry" sound like they aren't equivalent.

[@eliashousseini9534]

are you scary from the snow ? lol