Non-standard analysis Memes

Ever notice how mathematicians can prove anything? Here we have someone using non-standard analysis to justify that ε-inch is technically not zero... just infinitesimally small. The mathematical equivalent of "it's not the size that matters" while simultaneously proving that, well, it absolutely doesn't exist in any meaningful way. Poor guy's trying to use advanced calculus to win an argument he's already lost squared.

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!"