One of the hardest things to explain is why complex systems are actually different from simple systems.
We define the complexity profile as the amount of information necessary to represent a system as a function of scale.
Born on April 28, 1906, in Brno, Moravia, Gödel was the second of two children of Rudolf and Marianne Gödel, expatriate Germans whose families were associated with the city’s textile industry.
The Circle brought Gödel into contact with scholars such…
The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them.
A few hours later Quanta Magazine sat down with Su in a quiet room on a lower level of the hotel and…
What is the biggest whole number that you can write down or describe uniquely? Well, there isn’t one, if we allow ourselves to idealize a bit. Just write down “1”, then “2”, then… you’ll never find a last one.
Of course, in real life you’ll die before you get to any…
Is logical thinking a way to discover or to debate? The answers from philosophy and mathematics define human knowledge.
According to A History of Formal Logic by the distinguished J M Bocheński, the golden periods for logic were the ancient…
This work could lead to a new approach to the study of what is possible, and how it follows from what already exists.
Their goal is to understand how innovation happens and the factors that…
The probability and statistics cookbook is a succinct representation of various topics in probability theory and statistics. It provides a comprehensive mathematical reference reduced to its essence, rather than aiming for elaborate explanations.