... At this point I am just playing with him. He is too ignorant and arrogant to admit he is wrong.
Ah yes, a perfect example of the good old Dunning-Kruger effect on display there
To save you folks from having to look it look it up:
The Dunning–Kruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average.