Question 3 from Video Lesson - the rapid advances of civilization and the intermingling of ideas one.

For choice E - I thought if A --> C and B --> C, that would logically conclude to A --> B --> (I have done it this way in some daily drills) so then why can't the same rule be applied over here. If we know that migration leads to the intermingling of ideas (M --> II) AND rapid advances of civilization leads to the intermingling of ideas (RAC --> II) then why can we not conclude that M --> RAC? Am I missing something? Thank you in advance!

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Emil-Kunkin February 11, 2024

We cannot conclude that just because if A then C and if B then C, that all As are B.

All dogs are mammals, and all humans are mammals. Dogs are not humans, and humans are not dogs.

hassay18 February 12, 2024

But then what about transitive property?

Emil-Kunkin February 12, 2024

The transitive property is that if we know that All As are B and all Bs are C, then all As are C.

If all monkeys are mammals and if all mammals are vertebrates, we know that all monkeys are vertebrates.

This is not the same as what you are trying to do, which is to say that if all monkeys are vertebrates and all pigs are vertebrates, monkeys are therefore pigs.