Stephen has degrees in science (Physics major) and arts (English Literature and the History and Philosophy of Science), as well as a Graduate Diploma in Science Communication. Stephen has degrees in ...

"I know one thing," Socrates famously said: "that I know nothing." This statement is a paradox in itself, demonstrating the complexities of self-referential statements, but it also suggests a crucial ...

We are always solving problems, some of which have instantly obvious solutions and others that do not. In the latter case, the word puzzle comes to mind instead. A problem can be defined therefore as ...

Many scientists hold the belief that the paradoxes associated with time travel, which have perplexed thinkers for centuries, can indeed be resolved. This notion arises from various scientific theories ...

The correct technical definition of infinity is that it is equal to some of its parts. For example, both the set of all real numbers and the set of all even numbers have infinite elements, yet it is ...

Editor’s Note: Published in 1957, this article comes from Martin Gardner’s legendary Scientific American column Mathematical Games. Read more in our special digital issue, Fun and Games. A paradox is ...

The logical reasoning section of the LSAT can seem daunting, like an assault of barbed questions from all directions. One minute you’re trying to nail down a logical flaw, the next you’re trying to ...

This statement is a paradox in itself, demonstrating complexities of self-referential statements; but it also suggests an insight from one of the founders of Western philosophy, that you should ...