In fact much of modern mathematics has reached the point where it is sufficiently far divorced from everyday experience that common intuition is counterproductive, and leads to false conclusions. If you think that sounds silly then consider that modern physics has also passed this threshold — few people can claim quantum mechanics to be intuitive. Our experience of the world is actually remarkably narrow, and thus so is our intuition.
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When choosing a recreational drug, it is important to pick one widely used by people whose personalities most closely resemble your own. This makes it easier to score your shit.