Rituals also exist in other ways. Our society and culture impose rituals on us. Wikipedia in its entry on ritual states that "rituals can have a more basic sociological function in expressing, inculcating and reinforcing the shared values and beliefs of a society." Weddings, graduations, and football games all include ritual.
We all have personal rituals that center on specific dates or holidays. Some of these grow out of our culture or belief systems. We also have rituals that are more private and hold an almost mystical quality such as repeating a series of actions before an exam or always wearing a particular outfit to job interviews. These type of rituals are designed by us to increase the probability of a hoped for result.
So I'm sitting here watching the snow fall and wondering if mathematics isn't one huge ritual.