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P implies Q means ?

  1. Jul 10, 2013 #1
    Consider these propositions,

    P=It is raining, and Q=There are clouds in the sky
    R=giving a cookie by me, and S=cleaning room by kids

    What does P-->Q and R-->S mean in words?
  2. jcsd
  3. Jul 10, 2013 #2

    Stephen Tashi

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    Science Advisor

    The notation "P-->Q" for "P implies Q" can also be translated as "If P then Q". Substitute words for the statements represented by "P" and "Q".

    But be aware that both "P implies Q" and "If P then Q" have a different meaning in mathematical logic that in common speech. "P implies Q" doesn't assert that "P" causes "Q". The idea of "causation" isn't defined in elementary mathematical logic.
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