What is Modern Mathematics? (For The Non-Mathematician)

The Ramanujan Summation Delusion — Or Why 1 + 2 + 3 + ⋯ + ∞ ≠ -1/12

Here’s why the Ramanujan summation is misunderstood. Its origin is a human desire for beauty, rather than a strictly accurate mathematical truth.

Does Mathematics provide truth?

If it ain’t broke, don’t fix it. Unfortunately, Mathematics, as you know it, is broke. Sorry.

Probability: A Philosophical Perspective, Part I

Should Hong Kong be Independent?

Living in Hong Kong at the time of the 2014 Umbrella Movement, I was shocked by the unprecedented size and violence of the protests. While protests are common in Hong Kong, never before had they caused so much disruption nor provoked such a heavy response from the…

Spatial Reasoning and Mathematics

What happens when Pythagoras meets calculus? Mathematics elegantly combines abstract and spatial…

What is art?

Art is the audience and that is all

Plato’s Realm Of Forms Tells Us Nothing About Mathematics

The Maximum Modulus Principle

We prove the maximum modulus principle from complex analysis! (more advanced material, approx second year mathematics undergraduate)

Statement

Are Hong Kong’s Liberties doomed?

I fear that they are