And sure you will probably get a different cold, since there remain several hundred different cold infections. But you will certainly never get the very same runny nose infection that you had in the past since you have developed resistance to that cold virus.

Human papilloma virus is similar because human papilloma virus is simply another infection. Therefore you will most likely develop immunity to HPV virus. Nevertheless, HPV virus is more capable at hiding from your immunity than are the runny nose viruses. So you must persist harder to develop resistance to HPV virus.
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