I have an infinite number of dials with red needles that rotate $n\in\mathbb{Z^+}$ times every second. They all start pointing North.
Will they simultaneously all point North ever again?
I have an infinite number of dials with red needles that rotate $n\in\mathbb{Z^+}$ times every second. They all start pointing North.
Will they simultaneously all point North ever again?
Answer
Yes, after one second, since each $n \in \mathbb{Z}$