Ultimately, I feel vaccination arguments reduce to several concepts:
#1) Probability. The human brain has a hard time dealing with probability. We naturally think in binary terms, yes or no, white or black, cause and effect. The real world actually doesn't work like that, the universe runs on probability. Yes, you "can" win the lottery but it is unlikely you will win. Unfortunately, that fact doesn't stop millions of us from playing the lottery daily.
#2) Cellular biology. You have to understand how the immune system works and how diseases work and the limits of our current medical technology.
#3) Basics of fluid dynamics. You have to understand "flow" , that is, how things can impact other things. A zombie movie is a good representation of this, one infected zombie ends up infecting two friends, who each infect 2 friends and within a few weeks the entire world is infected...
#4) Individual liberty vs Collective Liberty. You have to understand the boundaries of where individual liberty ends and collective liberty begins.
#5) History. You have to understand and appreciate the magnitude of damage done by plagues of the past. These were real events impacting millions of lives throughout the whole of human history up until just a few generations ago...
#6) Modern Day Global Economics. The world is an insanely small place now. A hundred years ago, 90% of the population probably never strayed more than 20 miles from their homes throughout their entire lifetime. Today, most of us easily interact on a "daily" basis with "someone" who has been to other States or Countries. Similarly, most of us have strayed more than 1,000 miles from our homes on a yearly basis if not more frequently
add up all the above, process it, and it is a no-brainer...
Vaccinations should be mandatory