A simple, step-by-step breakdown of two “perfect” math proofs. But which prime number is p? It must be on our list of primes, because our list is complete. But it also can’t be on our list of primes, ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. An unsolved 160-year-old math problem may finally have a solution — but critics are wary. Michael ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. For almost 160 years, the Riemann hypothesis has been one of ...

And now for a real paradox, one which leads to a genuinely illogical conclusion, and which led to an upheaval in the study of the foundations of Mathematics. Around 1902, Gottlob Frege was completing ...

For over two millennia, mathematicians agreed on one thing: you can’t use trigonometry to prove Pythagoras’ Theorem—because trigonometry is built on it. That logic, drilled into students and scholars ...

Calcea Johnson (right), currently studying environmental engineering at Louisiana State University, published the new study with her high school classmate, Ne'Kiya Jackson (left), now a student in ...

Calcea Johnson and Ne'Kiya Jackson, who surprised the math world when they produced innovative solutions to a 2,000-year-old puzzle, wowed the math world again when they presented several new ways of ...

This is a preview. Log in through your library . Abstract Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics ...