A
AlNg
Guest
I don’t think for his example, that <=> is entirely correct either because <=> means if and only if. This relation <=> is a transitive relation, just as => is a transitive relation. However A causes B is not a transitive relation.The correct symbology is “⇔”.
Consider this:
A <=> B and B <=> C implies A <=> C.
Further A => B and B => C implies A => C.
They are both transitive relations., But causality is not transitive. So => and <=> cannot be used for causality.
A causes B and B causes C does not mean that A causes C.
Example: A right handed terrorist is going to push a button with his right hand to explode a bomb.
A dog comes and viciously bites his right hand which causes him to only use his left hand. The terrorist then uses his left hand to push the button and this causes the bomb to explode. The bomb explodes and this causes 200 people to die. Now if causality were transitive, A causes B, B causes C, C causes D, would imply that A causes D. But if transitivity were true for causality, then that would mean that the dog biting the right hand of the terrorist caused 200 people to die.
Example B: Given above with the rock falling down the mountain.
A large rock falls down a mountain.
This causes the hiker to duck to avoid the rock.
this causes the rock to miss the hiker.
This causes the hiker to survive.
But you cannot conclude that a rock falling down a mountain caused a hiker to survive.
Conclusion:
“if A then B” is not the same as “A causes B”.
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