17+ hour, 53+ min ago   (1695+ words) This lesson was inspired by George Dimitriadis’s classroom puzzle, “Jimmy Watches Mathematics Prove That 1 = −1.” George presents an intentionally convincing-looking derivation and asks the reader, alongside Jimmy and his classmates, to locate the point where valid-looking mathematics becomes invalid. His lesson…...

2+ day, 10+ hour ago   (30+ words) The triangle itself never changed. What changed was humanity’s understanding of what three connected lines could do. A triangle …...

4+ day, 48+ min ago   (146+ words) Learn more about the Void rule in logic I use for this post here: List: Philosophy of Math and Metaphysics | Curated by Benjamin Allen …...

4+ day, 2+ hour ago   (106+ words) As the 20th President of the United States in 1881, James Garfield came up with an elegant proof of the Pythagorean Theorem in 1876 while being a Congressman. His proof of this well-known theorem was later published in the New England Journal of…...

6+ day, 5+ hour ago   (1792+ words) The equations of gravity divide by zero at the centre of a black hole. This is the mathematics that refuses to stop there: no …...

6+ day, 13+ hour ago   (21+ words) Discover how a simple algebraic trick factoring a difference of squares generates every Pythagorean triple, from 3-4-5 to infinity....

1+ week, 6+ day ago   (37+ words) The Problem — the statement that seemed obvious “How would you prove that not every number of the form N = (p₁ · p₂ · p₃ ··· pₙ) + 1 is …...

2+ week, 3+ day ago   (36+ words) You’ve Never Heard of Triangular Roots. If this is your first time coming across the term “triangular roots,” then you are where I was six months …...

1+ mon, 2+ week ago   (1411+ words) How ancient civilizations encoded mathematical solutions inside the names of angels — and how a 2001 paper in the College Mathematics …...