The Odd Truth About Infinity

Someone just "proved" that the product of all odd numbers equals zero! This mathematical sleight of hand starts with all natural numbers, cleverly factors them into odd and even groups, then manipulates the equations until—POOF—the product of odd numbers supposedly equals zero. It's like watching a magician pull a mathematical rabbit out of a hat, except the rabbit is actually an error in infinite series manipulation. That boxed conclusion would make mathematicians everywhere spill their coffee. The mistake? You can't just divide both sides by infinity and expect the universe to keep working properly. That's like dividing by zero's sophisticated cousin!