Earlier quoted context omitted.
It is actually very easy to build a theory that disproves the idea of minimumg wage affecting employment. If we assume the economy is already in perfect equilibrium then raising the minimum wage will cause inflation but the wages will adjust upwards with the same coefficient vs the minimum wage. Another factor is that if you give money to people who haven't met their basic needs yet is that they will spend their mone…
A $50 minimum wage wouldn't affect unemployment? Why not make it $100?
As long as you're clear about what tradeoffs you're making, and as a society we still want no employment effect, if it works at $100, what's the problem?
You only have something to discuss if it's clear that unemployment will rise, and even so you need to decide how much is tolerable in exchange for whatever you get out of raising the minimum wage.