Why is aperture backwards??

RobertCarter658

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So, I get that larger f numbers like f/22 actually mean that it's a smaller opening and that smaller f number like f/2 is a big opening. I learned that thanks to a really helpful beginner video I just watched - this video. But my question is this...WHY is the size of the aperture backwards from the numbers. Shouldn't f/22 be a big aperture since it's a big number and f/2 should be a small aperture since it's a small number???
 
Think of it in terms of depth of field. f/1.4 is a small number and has a small depth of field. f/22 is a large number and has a large depth of field.
 

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