[jmount]

One way to deal with probability is: defer interpretation until after one has axiomatized calculation by measure theory. I have a quick video on the topic here: https://youtu.be/DnTTAd1TDyQ .

[alisonkisk]

Measure theory is a powerful tool, but how does that answer the question of what probability is?

Akin to physics, studying the wave equation doesn't tell you what the wave equation is in the real world.