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2bornot2b
 4 years ago
\[a\implies b\] does it mean \[b\implies a\] ?
2bornot2b
 4 years ago
\[a\implies b\] does it mean \[b\implies a\] ?

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bmp
 4 years ago
Best ResponseYou've already chosen the best response.0But \[¬B \implies ¬A\] is not neccessarily true.

maitre_kaio
 4 years ago
Best ResponseYou've already chosen the best response.2To illustrate the previous sentence: I'm a male => I'm human is true I'm human => I'm a male is false I'm not human => I'm not a male is true

2bornot2b
 4 years ago
Best ResponseYou've already chosen the best response.1a<=>b does it mean b<=>a?

Tomas.A
 4 years ago
Best ResponseYou've already chosen the best response.0a⟹b is not logically equivalent to b⟹a however a⇔b is logically equivalent to b⇔a

maitre_kaio
 4 years ago
Best ResponseYou've already chosen the best response.2I often find useful to think with diagrams: dw:1325435683348:dw if a then b (if I'm in A, then I'm in B). So it's clear the opposite is not necessary true. But if I'm not in B, then I'm not in A
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