Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

The world is a pretty complicated place. Just think about all the moving parts it takes to get sliced bread delivered, regularly, to your local grocery store and then apply that to every facet of life ...

To flourish, humanity needs to go back to free market money (not issued by central banks or governments, but arising from the market) that can’t be manipulated by central banks and/or governments, nor ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

The scale of the world’s human waste problem is vast, impacting human health, coastal and terrestrial ecosystems, and even climate change. Solving the problem requires working with communities to ...

Here’s a simple-sounding problem: Imagine a circular fence that encloses one acre of grass. If you tie a goat to the inside of the fence, how long a rope do you need to allow the animal access to ...

If my school-age son lies about a mistake he’s made, it reflects poorly on me. After all, it’s my job to teach him to own up to his actions, learn to be more careful with fragile objects, not leave ...

Microschools and flexible education models put students’ individual needs first, improving outcomes for at-risk learners.

Forbes contributors publish independent expert analyses and insights. Shama Hyder is CEO of Zen Media, a b2b PR and marketing firm. Entrepreneurship isn’t an easy or simple profession, but as with any ...