P-->Q & R-->S: Meaning Explained

[phydis]

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?

 

[Stephen Tashi]

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?

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.