Non-standard analysis Memes

The eternal battle between mathematicians and physicists continues! While mathematicians clutch their pearls over mathematical purity, physicists are out here treating derivatives like fractions and canceling them willy-nilly! The horror! In the rigorous world of math, d/dx is a differential operator that follows specific rules. But walk into a physics classroom and you'll see d's flying around, getting canceled, and multiplied like they're having a wild party! Non-standard analysis? Who has time for that when there's a universe to figure out? Physicists be like: "Does it work? Great! Moving on to the next unsolved mystery of the cosmos!"