A fun time — in mathematics. This one sophism is using integral and it is taken from Mudd Math Fun Facts — the calculation ends up with 0 = 1 . The link is also gone now, as they revamped the website. Sophism means a fallacious argument, especially one used deliberately to deceive. Sophisticate originates from sophisticus (Medieval Latin), while sophism is from Greek sophisma — different origins, but lo! Sophism and sophisticate, both have sophis . And yes, sophism has its sophistication. Quoted Consider the following integral: ∫(1/x) dx -------------------------------------------------- Perform integration by parts: Let u = 1/x dv = dx du = -1/x² dx v = x -------------------------------------------------- Then obtain: ∫(1/x) dx = (1/x).x - ∫x(-1/x²) dx = 1 + ∫(1/x) dx ❓ Let's take a look at that last line, and continue that: The last line: ∫(1/x) dx = (1/x).x - ∫x(-1/x²) dx = 1 + ∫(...