No doubt you will eventually cave in to a different cold, since there are 300 different cold infections. However you will unlikely acquire the exact same runny nose infection that you had previously since you have actually established resistance to that virus.

HPV is identical since HPV virus is just an additional viral infection. Therefore you could quite simply establish immunity to human papilloma virus. Nonetheless, HPV is more capable at hiding from your body's immune system than are the cold virus infections. Therefore you have to try a little harder to obtain immunity to HPV virus.
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