At a bare minimum, understanding entails being able to detect an internal contradiction: a paradox.

The more improbable the message, the less "compressible" it is, and the more bandwidth it requires. This is Shannon's point: the essence is its improbability.

The assumption that anything true is knowable is the grandfather of paradoxes.

At a bare minimum, understanding entails being able to detect an internal contradiction: a paradox.

In The Tricky Art of Co-Existing, Sandi Toksvig navigates life's little dilemmas with wit and not-so-common sense. You'll learn the strange history of common courtesy and the one true secret of social success: how to not drive everyone around you crazy.

In real conversations, we are always trying to outguess each other.

Samuelson spotted a mistake in Bacheliers work. Bachelier's model had failed to consider that stock prices cannot fall below zero.