Skógafoss

Having been lucky enough to travel on numerous roads like this last summer, I'm pretty sure I remember being genuinely and irrationally afraid of this exact thing happening. I have no clue why.

In the creative mathematics, the role of proof is in no way restricted to its function of carrier of conviction. Otherwise, there would be no need for Carl Friedrich Gauss to consider eight (!) different proofs of the law of quadratic reciprocity. One metaphor of proof is a route, which might be a desert track boring and unimpressive until one finally reaches the oasis of ones destination, or a foot path in green hills, exciting and energizing, opening great vistas of unexplored lands and seductive offshoots, leading far away even after the initial destination point has been reached.

Yuri Manin, Foundations as Superstructure (Reflections of a practicing mathematician)

Illustrations from John Stillwell’s Classical Topology and Combinatorial Group Theory

my teacher could give me a year to do an assignment and ill still end up doing it the night before

Title: Islandia

Map Maker: Abraham Ortelius

Place / Date: Antwerp / 1603