"Wir müssen wissen, wir werden wissen" - Hilbert

Stumbling through the abyss of Mathematics in hope of colliding with the light of understanding. Hopefully I can share what understandings I have collided with already.

Here are some interesting SE questions:

Time to reach a final state in a random dynamical system (answer known, proof unknown)

Roll a dice infinite times BUT pay $1 to play - strategy?

How much weight is on each person in a human pyramid?

What's an intuitive way to think about the determinant?