## The twisted math of knot theory can help you tell an overhand knot from an unknot

It's knot always easy to tell if two knots are the same

## Scientists can learn to do better science from philosophers

A new research paper demonstrates how science and philosophy exist on a continuum

## Academia should incentivize mathematicians to make their work more accessible

Math papers that are difficult to understand prevent scientists from learning about tools they can use in their research

## Retracted papers continue to circulate on social media, spreading misinformation

We should all be diligent about vetting the research we share — here's how

## Privileged researchers are over-represented in open access literature

Male STEM researchers at prestigious institutions are more able than others to make their papers open access

## Mathematicians hope digital "proof assistants" will fix the field's own replication crisis

Computer programs can be better than humans, but they're not perfect

## Meet Sophie Germain, the amateur mathematician who worked on number theory's toughest problem

Germain, or "Monsieur LeBlanc" to her professors, took a bold and creative approach to life and math

## Despite a mistaken mathematical proof, you do only need four colors to make a good map

Alfred Kempe's 1879 proof of the Four Color Theorem contained a mistake. Nearly a century, later his work was vindicated

## Science and philosophy can, and should, coexist

MC Hammer's recent tweet has sparked a conversation about the complementary nature of these two fields