“the more people you vaccinate, the greater the number of vaccine-resistant mutations you are likely to get”
I don’t know of any basis or suggested reasoning for such a statement.
Perhaps you could try doing a basic internet search to find out how vaccines can drive mutations.
https://www.quantamagazine.org/how-vaccines-can-drive-pathogens-to-evolve-20180510/
Geert vanden Bosche’s theory:
A response (that is beyond my meager knowledge of immunology):
https://www.deplatformdisease.com/blog/addressing-geert-vanden-bossches-claims
“Ending COVID-19 will require vaccination- this is not a matter of debate or discussion. Viruses evolve towards greater transmissibility, but they cannot evolve unless they have hosts. Fortunately, SARS-CoV-2 and other coronaviruses are unique in that they have a proofreading RNA-dependent RNA polymerase that slows mutation rates by a factor of about 20, which means they are slower to mutate, but this is irrelevant if they can infect well over 20 times more people than other RNA viruses. Vaccines clearly reduce viral load, prevent severe disease, and disrupt transmission, and they can thankfully be readily modified to address problematic variants as is done every season for influenza with great effect. They are the way out until someone proposes something better.”
“the more people you vaccinate, the greater the number of vaccine-resistant mutations you are likely to get”
I don’t know of any basis or suggested reasoning for such a statement.
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You increase natural selection pressure, by attempting to eradicate a virus with an imperfect vaccine. The vaccine produces an imperfect immunizing response which kills *most* of the virus, but a few survive. The ones that survive, thru natural selection, are the more resistant to the vaccine induced immunity. They replicate and become more prevalent.
Consider for a full year, prior to the vaccines, the original strain was the strain that spread worldwide. No selection pressure. Eight to nine months after worldwide deployment of the vaccines we have the rise of numerous variants.