Minimum Wages

Last week I noted that raising the minimum wage is a stupid idea.  Why not raise it to $1 million per hour?

But I wonder, is there any argument that you could make for increasing the minimum wage to $15 or whatever, that you could not also make for $1m?

Logical arguments:

Minimum wages are stupid
The minimum wage should be hugely high

If you are not going to make one of those two arguments, then Shirley you must be admitting that the reason you proposed minimum wage is not higher is because having it too high would hurt the economy.  And so you've settled on an arbitrary number.

Can it be any other way?  Are there any arguments for $15 that you couldn't use for $1 million without admitting that minimum wages harm the economy?

One more example of progressive politics being about the gain of progressives at the expense of someone else.  And to heck with everyone else.