[Freedom2]

> As it happens, there will always exist a health insurance company with highest denial rate among all companies. That's a simple mathematical fact: a finite set of numbers has a maximum number. You need to do more legwork to show any actual wrongdoing on anyone's part here.

This isn't correct. Mathematically (as you say), you can have all health companies have a denial rate of 0%.

Realistically it's impossible, but you did say mathematically.

[brokenmachine]

This is pedantry at it's finest, but at the risk of adding more... Wouldn't the mathematical maximum be 0 in that case?

[Freedom2]

Correct! I was more-so addressing the following statement, not necessarily the mathematical maximum one:

> As it happens, there will always exist a health insurance company with highest denial rate among all companies

If OP was going to start leaning onto "mathematical fact[s]" to support their argument, they should probably be accurate as well. Specifically there will be "multiple" health insurance companies with the highest denial rate (0), not "a" company.