Why Is Scientific Illiteracy So Acceptable?

Here is Hermann von Helmotz on Michael Faraday (who knew no math) -

"Now that the mathematical interpretation of Faraday's conceptions regarding the nature of electric and magnetic forces has been given by Clerk Maxwell, we see how great a degree of exactness and precision was really hidden behind the words which to Faraday's contemporaries appeared either vague or obscure; and it is in the highest degree astonishing to see what a large number of general theorems, the methodical deduction of which requires the highest powers of mathematical analysis, he found by a kind of intuition, with the security of instinct, without the help of a single mathematical formula."

Yes, there is a level of scientific ignorance displayed when people hand wave and claim "the science" is on their side without actually understanding the science. However, there is a huge qualitative difference here, illustrated even by your example of quarantine recommendations.

If we approximate an answer to "What is the optimal quarantine strategy?" through the combined efforts of various sciences--statistics, biology, etc--then while the results are not guaranteed, the recommendation is certainly not unfounded. It may be incomplete, but it is built off of decades of empirical evidence.

Conversely, outright ignoring recommendations about COVID or climate or something similar, simply because "science isn't always right" or because you "aren't a scientist" is a different thing altogether.

To nitpick a bit: anyone who answers that question for a living will be practicing engineering, not science. Just as an excellent physician can espouse wildly unscientific beliefs, so too can someone become quite good at the craft of engineering without actually doing much science at all.

> I can't come to science and ask it, "How long should we quarantine to minimize health impact, and maximize economic recovery?" Ultimately, that question does not have a scientific answer. It can be informed by statistics -- to the best that we understand the numbers, and scientists can present models of what they think the future will look like... but results not guaranteed.

Correct me if I'm wrong, but you consider "hard" disciplines like orbital mechanics and structural engineering to be science, and anything with less certainty in it to be not science, but statistics. This is inaccurate. Find me a scientific field that doesn't involve uncertainty and statistical analysis. Your examples of orbital mechanics and structural engineering certainly do. Conclusions made in both of these disciplines will always need to account for various sources of irreducible error (e.g., uncertainty in mass, temperature, altitude, fuel load; simplifying assumptions about atmosphere structure, gravity anomaly, solar wind, etc.). The importance of safety factors is the ultimate proof that uncertainty is core to engineering: https://en.wikipedia.org/wiki/Factor_of_safety

Science is the modeling of reality by formulating and testing hypotheses through observation and/or experiment. Does epidemiology not fall squarely within this definition? What do you propose as an alternative approach to inform governments and individuals what to do in the face of a natural phenomenon (a pandemic) which, although inherently uncertain, exhibits behaviors that are decidedly not random and inherently unpredictable?