Forbes contributors publish independent expert analyses and insights. Luis E. Romero is an entrepreneur, author and speaker. Reality is, by design, the aggregate result of everything that happens, ...

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, ...

Axiom says its AI found solutions to several long-standing math problems, a sign of the technology’s steadily advancing reasoning capabilities.

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 ...

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 ...

Opinions expressed by Entrepreneur contributors are their own. How do we solve problems with multiple dimensions, and what is the easiest way to come up with the best possible solutions effectively ...

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 ...

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 ...