Why you need to study logic?

You need to study logic in order to make sense of information and separate truth from falsehood, or theory from proof. Humans need to have at least a basic understanding of logic, even if not studying the subject of logic in detail. For example, consider this:-

All humans are animals

All cats are animals

Hence all humans are cats

The first two statements are true - we "know" this. Logically, you could argue that the third statement (the conclusion) is also true, but by studying the logic structure (set theory) behind the scenario (the animals set) we can see that the conclusion is a non-sequitur (latin for "it does not follow"). The animals set incorporates the humans set and the cats set, but those two sets do not overlap at all. Logically, after considering the sets, not only can we conclude that not all humans are cats and that not all cats are humans, but we can also conclude that no humans are cats and no cats are humans.

Now consider this:-

Many aircraft spray chemicals and leave visible "chem-trails" in the sky

Many commercial aircraft leave visible trails in the sky ("con-trails")

Hence many commercial aircraft are spraying chemicals

The first statement can refer to crop-spraying activities and is certainly true. The second statement is also certainly true and you can look up into the sky most days and see contrails. Is the conclusion true? This is a classic conspiracy theory which fails under logical analysis, yet many people think it must be true. Research the subject of chem trails and see what you think. How many non sequiturs can you find in the arguments presented?