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2bornot2b

  • 2 years ago

\[a\implies b\] does it mean \[b\implies a\] ?

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  1. bwCA
    • 2 years ago
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    yes

  2. bmp
    • 2 years ago
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    But \[¬B \implies ¬A\] is not neccessarily true.

  3. maitre_kaio
    • 2 years ago
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    To 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

  4. 2bornot2b
    • 2 years ago
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    a<=>b does it mean b<=>a?

  5. Tomas.A
    • 2 years ago
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    a⟹b is not logically equivalent to b⟹a however a⇔b is logically equivalent to b⇔a

  6. maitre_kaio
    • 2 years ago
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    I 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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