[quote=@whizzball1] I always saw something like 0.333333... as representing the whole forever, just like the infinity sign represents all of infinity. I would suppose that it's an axiom problem, since you can either see a repeating decimal with a ... as representing the exact, forever-going value, or as "it goes on forever". If, and only if, 0.333333 represents the exact value of 1/3, then, and only then, does the proof hold true. [/quote] No, the proof serves to demonstrate that it's not. By the way, momentum isn't enough to mess up what's going on there. The alley's not that faulty =P