Mathematical Induction
I give the proof of why mathematical induction works as a valid proof technique.
Blue Sword Standard
I give the Olympian standard for getting the right results that always work in a world filled with delusion, hate, lies, and deception.
Freshmanʻs Dream
I explain the proof for Freshmanʻs dream in an abstract algebra setting.
Sophomoreʻs Dream
I explain the two proofs for sophomoreʻs dream and the solutions for the integrals.