Despite viral rumors and online videos claiming a mathematician proved 1+1=3, no credible mathematician has ever established this as a valid result. The foundation of arithmetic, as detailed in sources like BYJU'S and GeeksforGeeks, confirms that 1+1=2, a fact rigorously proven from formal logic and arithmetic principles.
Alleged proofs that seem to show 1+1=3 use tricks involving mathematical mistakes, especially division by zero or circular reasoning. These demonstrations are intended as puzzles or to illustrate logical fallacies, not as genuine mathematical results.
Recent internet claims, including those attributed to unnamed American mathematicians in 2024, do not withstand scrutiny and are not recognized by the mathematical community. All authoritative sources agree that the sum of 1 and 1 is 2, and any claim to the contrary is either a joke, a metaphor, or a deliberate error.