Beat eggs in mixer until fluffy.
Create a double-boiler on the stovetop by filling a small saucepan with a little over an inch of water. Simmer water over low heat. Find a medium-size bowl that can sit on top of the saucepan without touching the water.
In bowl using a wooden spoon, combine sugar, flour, salt, half & half, and vanilla bean paste. Stir continuously.
When sugar is dissolved, mixture starts to steam and thicken, gradually drizzle in eggs while continuously stirring. Keep stirring and let mixture cook for a least 1 minute.
Remove from heat and put it in the fridge to chill. Once mixture is chilled, pour mixture along with the 2 cups of cream into ice cream maker. Follow the instructions on your ice cream maker to make and freeze ice cream. Enjoy either by itself or with your favourite ice cream toppings.