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2bornot2b Group Title

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

  • 2 years ago
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  1. bwCA Group Title
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    yes

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

    • 2 years ago
  3. maitre_kaio Group Title
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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

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

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

    • 2 years ago
  6. maitre_kaio Group Title
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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

    • 2 years ago
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